λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,036,626
8,036,626
2 × 133 × 31 × 59
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13^3 × 31 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,708,800
Proper Divisor Sum 5,672,174
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8036621 ← → #8036629

Radix Representation

Decimal 8036626
Binary 11110101010000100010010 (23 bits)
Octal 0o36520422
Hexadecimal 0x7AA112

Divisor Catalog (32)

1 2 13 26 31 59 62 118 169 338 403 767 806 1,534 1,829 2,197 3,658 4,394 5,239 9,971 10,478 19,942 23,777 47,554 68,107 129,623 136,214 259,246 309,101 618,202 4,018,313 8,036,626

Collatz Trajectory (230 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,036,626 4,018,313 12,054,940 6,027,470 3,013,735 9,041,206 4,520,603 13,561,810 6,780,905 20,342,716 10,171,358 5,085,679 15,257,038 7,628,519 22,885,558 11,442,779 34,328,338 17,164,169 51,492,508 25,746,254 12,873,127 38,619,382 19,309,691 57,929,074 28,964,537 86,893,612 43,446,806 21,723,403 65,170,210 32,585,105 97,755,316 48,877,658 24,438,829 73,316,488 36,658,244 18,329,122 9,164,561 27,493,684 13,746,842 6,873,421 20,620,264 10,310,132 5,155,066 2,577,533 7,732,600 3,866,300 1,933,150 966,575 2,899,726 1,449,863 4,349,590 2,174,795 6,524,386 3,262,193 9,786,580 4,893,290 2,446,645 7,339,936 3,669,968 1,834,984

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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