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Atlas › Integer Profiles › Node 36,922,632

36,922,632

23 × 3 × 41 × 157 × 239
Abundant Even Composite

36,922,632 factors as 2^3 × 3 × 41 × 157 × 239. Its 64 positive divisors give a proper-divisor sum of 58,635,768, so this integer is abundant. The Collatz stopping time is 325 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 157 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 95,558,400
Proper Divisor Sum 58,635,768
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36922631 ← → #36922649

Radix Representation

Decimal 36922632
Binary 10001100110110010100001000 (26 bits)
Octal 0o214662410
Hexadecimal 0x2336508

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 41 82 123 157 164 239 246 314 328 471 478 492 628 717 942 956 984 1,256 1,434 1,884 1,912 2,868 3,768 5,736 6,437 9,799 12,874 19,311 19,598 25,748 29,397 37,523 38,622 39,196 51,496 58,794 75,046 77,244 78,392 112,569 117,588 150,092 154,488 225,138 235,176 300,184 450,276 900,552 1,538,443 3,076,886 4,615,329 6,153,772

Collatz Trajectory (325 steps to reach 1)

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

36,922,632 18,461,316 9,230,658 4,615,329 13,845,988 6,922,994 3,461,497 10,384,492 5,192,246 2,596,123 7,788,370 3,894,185 11,682,556 5,841,278 2,920,639 8,761,918 4,380,959 13,142,878 6,571,439 19,714,318 9,857,159 29,571,478 14,785,739 44,357,218 22,178,609 66,535,828 33,267,914 16,633,957 49,901,872 24,950,936 12,475,468 6,237,734 3,118,867 9,356,602 4,678,301 14,034,904 7,017,452 3,508,726 1,754,363 5,263,090 2,631,545 7,894,636 3,947,318 1,973,659 5,920,978 2,960,489 8,881,468 4,440,734 2,220,367 6,661,102 3,330,551 9,991,654 4,995,827 14,987,482 7,493,741 22,481,224 11,240,612 5,620,306 2,810,153 8,430,460

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