Appendix: Why 7 & 13?
In the Bible we begin at the beginning of the Old and New Testaments (Genesis 1:1 & John 1:1), and in mathematics, we begin at the very beginning of all numbers. Before the start of the text of both testaments, there is nothing. In math, nothing is represented by zero, just as the next number, one,
represents the one God who created all things.
In mathematics, the number 1, added to itself over and over produces all other numbers. In physics (or chemistry), the addition of a proton turns one element into another. Thus the number 1 is crucial in religion, math, physics or chemistry.
According to the Bible, God created the universe. As such, His hand is in everything, but everything still stands uniquely by itself. Mathematics also reflects this. Not only is the number one the generator of all other numbers through addition, it is also the common factor of every number. And yet, each number is uniquely its own.
From the universal quality of the number 1, we discover the uniqueness of the numbers 6, 7 and 13.
The number 1 can only be produced by: 1 x 1. The sum of these factors is 2. The number 2 can only be produced by 1 x 2, and the sum of the factors is 3. This pattern continues up to the number 6.
Sum of
Number Factors Factors
1 1 x 1 2
2 1 x 2 3
3 1 x 3 4
4 1 x 2 x 2 5
5 1 x 5 6
6 1 x 2 x 3 6
The pattern ends with the number 6. Every number from 1 to 6, following the pattern above, builds up to 6 and no further.
This mirrors the Bible's creation account perfectly. In six days, God created the heavens and the earth. From the seventh day onwards, everything is different.
Now we begin the pattern anew with the number 7.
Sum of
Number Factors Factors
7 1 x 7 8
8 1 x 2 x 2 x 2 7
9 1 x 3 x 3 7
10 1 x 2 x 5 8
Rather than steadily building upwards, the pattern tends to decrease. In fact, by following this pattern, every number 7 and up returns to the number 7.
We test this with a randomly chosen number 611064. This factors: 1 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 x 41. The sum of the factors is 83. 83 in turn is 1 x 83. The sum is 84 (1 x 2 x 2 x 3 x 7). The factors now become 15 (1 x 3 x 5), and these factors take us back to 9, which ends up at 7.
Mathematics again parallels the Bible. The seventh day completes the week and always cycles round again. All creation returns to God for judgment or rest.
It is almost as if there were two arrows pointing towards one point. From one to 6, everything points to 6. And from infinity to 7, everything points to 7. This clue leads us to add these two numbers.
The sum of these two special numbers (6 & 7) is 13, half the numeric value of the divine name YHWH. The difference between 6 and 7 is 1, which points back to the one God.
The Uniqueness of 7
Throughout the Bible, the number seven stands out as a number associated with God and His perfection (Revelation 3:1). He created the world in six days, hallowing the seventh (Genesis 2:3). He commanded Israel to set aside every seventh year, and also the forty-ninth year (7 x 7) as a jubilee. He even counts in sets of seven (Daniel 9:24).
Biblical reasons aside, there are mathematical reasons too. Because numbers are infinite, there must be an infinite number of mathematical reasons. A few are listed below.
A)No matter what number is divided by 7 (as long it is not a multiple of 7), the repeating digits are always the same and follow the same order. Depending on the number divided by 7, the repeating digits may show as 142857, 428571, 285714, 857142, 571428, or as 714285. In essence, God does not change. He may begin His work differently, but He remains the same.
These repeating digits can be applied directly to the proclamation:
Digit pattern: 1 4 2 8 5 7 Letter: 10 6 200 200 10 1
The total of the letters: 427. (61 x 7 SF: 68 = 2 x 2 x 17 SF: 21 = 3 x 7 SF: 10 = 2 x 5 SF: 7 Note how the chain of factors alternate between being divisible by 7 and then not.)
B)When the digits are arranged according to magnitude, another feature appears: 1 2 4 5 7 8. The first and last add up to 9, as do each inner pair: 2 + 7 = 9, and 4 + 5 = 9.
C)The sequences point to the number 13.
Repeating 1st Pair 2nd Pair Middle Difference Sequence Pair Between Pairs 142857 8 9 10 1 428571 5 9 13 4 285714 6 9 12 3 857142 10 9 8 1 571428 13 9 5 4 714285 12 9 6 3
The sum of the repeating sequences (first column) is 2999997 (37 x 3 x 3 x 3 x 3 x 7 x 11 x 13). The sum of the factors is 35 (7 x 5).
We can read down the column of differences to form a new number: 143143 (13 x 13 x 11 x 11 x 7). The number could also have been written as: 431431 (13 x 11 x 7). Or as 134134 (13 x 7 x 2 x 11 x 67), or even 314314 (13 x 7 x 11 x 2 x 157).
D)And finally, perhaps more important are the numbers which can be divided by 7.
I II III IV V VI VII 161 1001 10010 10101 111111 1771 121212 252 2002 11011 20202 222222 2772 131313 343 3003 12012 30303 333333 3773 141414 434 4004 13013 40404 444444 4774 151515 525 5005 14014 50505 555555 5775 161616 616 6006 15015 60606 666666 6776 171717 868 8008 16016 80808 888888 8778 181818 959 9009 17017 90909 999999 9779 191919
In the first column, the first and last digits are the same, and when either is added to the middle digit total 7. This column reminds us of the perfect God first and last. In the second and third columns, the zeroes are bracketed on either side by the same number. God is the beginning and the end. The fourth, fifth and seventh columns have numbers that do not change, just as God does not change. The sixth column shows how God is in the present.
These are only a few of the many numbers divisible by 7. Any number which fits the pattern will also be divisible by 7. There might be another prime number with such features, but the number 7 is the smallest prime which fits so perfectly.
Why 13 is the Divine Number
The divine name in Hebrew numerics is 5-6-5-10 (יהוה), a total of 26. This factors into 13 x 2. Thus the number 13 is built into God’s name. Some people might be surprised at this, but really shouldn't be. 13 is God’s number in the Bible and in the universe. (People out of God’s will naturally find anything about God to be bad
, especially bad luck.
) When God created the universe, He called everything good
. This must include all the numbers in the universe. The number 13, like the number 7 is very unique. The following illustrates this.
When the number 13 is used to divide into any number not a multiple of 13 there is a remainder ranging from 1 to 12. These fractions of 13 are the following decimals:
Repeating
Decimal
Remainder Fraction
1 0.076923
2 0.153846
3 0.230769
4 0.307692
5 0.384615
6 0.461538
7 0.538461
8 0.615384
9 0.692307
10 0.769230
11 0.846153
12 0.923076
A)Note that remainders 1, 3, 4, 9, 10 and 12 all have the same repeating digits. They begin their repeating sequences with different numbers, but the order of the digits is always the same (769230). Now the sum of 1, 3, 4, 9, 10 and 12 is 39 (13 x 3). The sum of the repeating digits is 27. The other remainders 2, 5, 6, 7, 8, and 11 also add up to 39. Their repeating digits also add up to 27.
B)But something more marvellous can be found. Take the first set of repeating digits: 769230. By moving the first digit to the end, a new number is formed: 692307. A whole list of numbers can be produced from the original: 923076, 230769, 307692, and 076923. (These numbers will be referred to as "List A".) All these numbers are divisible by 7. The sum of all these new numbers is 2999997, the same number seen in the section above on the number seven.
C)The same can be done for the other repeating digits: 153846 538461 384615 846153 461538 615384. (These numbers will be referred to as "List B".) These six numbers are also divisible by 7. Again when added up, they total 2999997.
D)Arrange the repeating digits according to magnitude: 023679. The first and last digits add up to 9. The next inner pair add up to nine, and the middle pair also produce 9 as well.
E)The same occurs with the second sequence: 153846. First arrange the digits according to magnitude: 134568. Outer pair: 1 + 8 = 9. First inner pair: 3 + 6 = 9. Middle pair: 4 + 5 = 9.
Special pairs and numbers can be found in List A and List B.
List A
I II III
Sum of Sum of Sum of Difference
Number Outer Pair Inner Pair Middle Pair I & II, II & III
769230 7 9 11 2 2
692307 13 9 5 4 4
923076 15 9 3 6 6
230769 11 9 7 2 2
307692 5 9 13 4 4
076923 3 9 15 6 6
F)The differences create new numbers:
246246 = 2 x 3 x 7 x 11 x 13 x 41 SF: 77 = 7 x 11 462462 = 2 x 3 x 7 x 7 x 11 x 11 x 13 624624 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 13
List B
I II III
Sum of Sum of Sum of Difference
Number Outer Pair Inner Pair Middle Pair I & II, II & III
153846 7 9 11 2 2
538461 6 9 12 3 3
384615 8 9 10 1 1
846153 11 9 7 2 2
461538 12 9 6 3 3
615384 10 9 8 1 1
G)Again the differences create new numbers:
231231 = 3 x 7 x 7 x 11 x 11 x 13 SF: 52 = 2 x 2 x 13 312312 = 2 x 2 x 2 x 3 x 7 x 11 x 13 x 13 123123 = 3 x 7 x 11 x 13 x 41
H)The numbers generated from Lists A and B reveal something else in mathematics. Any six digit number with its last three digits repeating the values of the first three, is divisible by 13 and 7. For example: 123123, 012012, 901901, 600600, 538538, are all divisible by 13 and 7. The numbers witness to God’s unchanging character from first to last.
I)The same can be said of any six digit number with the first two digits repeated in the third and fifth places: 505050, 161616, 010101, 898989, 373737. All these numbers are divisible by 13 and 7. God is the same from beginning, straight through the present right to the future.
J)And finally, God in the middle, holds beginning and end together: 1131, 2132, 3133, 4134, 5135, 6136, 7137, 8138, 9139.
No wonder God has chosen 13 to be in His name, and 7 to symbolize completeness.
There may be many other features of 7 and 13 not mentioned here. We close with a final feature combining 7, 13 and Revelation 1:8.
K)The first part of Revelation 1:8 states that God is Alpha and Omega
. (See also Revelation 21:6 and 22:13 where God states He is also First and Last,
and Beginning and End.
The last part tells us God is, was, and is to come
.
The first number to demonstrate the first part of Revelation 1:8 is the number 11. The same digit (one God) is at the beginning and end of the number. Eleven can also represent every number from 3 to infinity. All that is necessary is a change in the base. 11 in binary is the number 3 in base ten. 11 in base three is the equivalent of 4 in base ten. By changing the way we count, every number from 3 to infinity points back to God.
What about the first two numbers 1 and 2? These two numbers are separate because they reflect the opposite characteristics in the first part Revelation 1:8. 1 is an odd number, while 2 an even number. This matches Alpha and Omega.
(What about negative numbers? Aren't these the true opposites? Since Revelation 1:8 refers to God, negative numbers do not fit the imagery. First and Last, Alpha and Omega, Beginning and End do not cancel each other out. These are opposites without cancellation. They are complementary.)
What about the last part of Revelation 1:8? 11 naturally leads us to think of other numbers composed of the digit 1. is, was and is to come
lead to the number 111. 111 in binary is the number 7. 111 in base three equals 13 in base ten. Here are God’ two favourite numbers right at the beginning.
If the base is changed further, 111 turns into many other numbers. Some are divisible by 7 and or 13, but many are not. There don't appear to be any special features. This is the opposite of the number 11, where the first two numbers did not work, but everything after 3 could be represented by 11. Here, only the first two bases work, and not the rest of the numbers. This emphasizes the values of 7 and 13.
End Note
Today we use two number systems: base 10 and base 2 (binary). In base 10, the single units range from 0 to 9. When the count reaches 10, the result is carried over to the next digit position. The same applies in the binary system used by computers, except the count of 2 is always carried to the next position.
For practical purposes, the first number system is base two. There is no base 1, since even the very first number would be undefined (i.e. carried over an infinite number of digit positions.) At the other extreme, all numbers in base infinity are comprised of one digit.
It's almost as if math itself points to God. The number one in base one is infinite, while all numbers in base infinity comprise only of one digit.