λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,970,934
36,970,934
2 × 7 × 11 × 13 × 59 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 59 × 313
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 75,962,880
Proper Divisor Sum 38,991,946
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36970933 ← → #36970943

Radix Representation

Decimal 36970934
Binary 10001101000010000110110110 (26 bits)
Octal 0o215020666
Hexadecimal 0x23421B6

Divisor Catalog (60 of 64)

1 2 7 11 13 14 22 26 59 77 91 118 143 154 182 286 313 413 626 649 767 826 1,001 1,298 1,534 2,002 2,191 3,443 4,069 4,382 4,543 5,369 6,886 8,138 8,437 9,086 10,738 16,874 18,467 24,101 28,483 36,934 44,759 48,202 56,966 59,059 89,518 118,118 129,269 203,137 240,071 258,538 313,313 406,274 480,142 626,626 1,421,959 1,680,497 2,640,781 2,843,918

Collatz Trajectory (165 steps to reach 1)

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

36,970,934 18,485,467 55,456,402 27,728,201 83,184,604 41,592,302 20,796,151 62,388,454 31,194,227 93,582,682 46,791,341 140,374,024 70,187,012 35,093,506 17,546,753 52,640,260 26,320,130 13,160,065 39,480,196 19,740,098 9,870,049 29,610,148 14,805,074 7,402,537 22,207,612 11,103,806 5,551,903 16,655,710 8,327,855 24,983,566 12,491,783 37,475,350 18,737,675 56,213,026 28,106,513 84,319,540 42,159,770 21,079,885 63,239,656 31,619,828 15,809,914 7,904,957 23,714,872 11,857,436 5,928,718 2,964,359 8,893,078 4,446,539 13,339,618 6,669,809 20,009,428 10,004,714 5,002,357 15,007,072 7,503,536 3,751,768 1,875,884 937,942 468,971 1,406,914

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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