13,672,736

2⁵ × 7 × 11 × 31 × 179

13,672,736 factors as 2^5 × 7 × 11 × 31 × 179. Its 96 positive divisors give a proper-divisor sum of 21,163,744, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 31 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 34,836,480

Proper Divisor Sum 21,163,744

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13672733 ← → #13672739

Radix Representation

Decimal	13672736
Binary	110100001010000100100000 (24 bits)
Octal	0o64120440
Hexadecimal	0xD0A120

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 179 217 224 248 308 341 352 358 434 496 616 682 716 868 992 1,232 1,253 1,364 1,432 1,736 1,969 2,387 2,464 2,506 2,728 2,864 3,472 3,938 4,774 5,012 5,456 5,549 5,728 6,944 7,876 9,548 10,024 10,912 11,098

Collatz Trajectory (254 steps to reach 1)

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

13,672,736 6,836,368 3,418,184 1,709,092 854,546 427,273 1,281,820 640,910 320,455 961,366 480,683 1,442,050 721,025 2,163,076 1,081,538 540,769 1,622,308 811,154 405,577 1,216,732 608,366 304,183 912,550 456,275 1,368,826 684,413 2,053,240 1,026,620 513,310 256,655 769,966 384,983 1,154,950 577,475 1,732,426 866,213 2,598,640 1,299,320 649,660 324,830 162,415 487,246 243,623 730,870 365,435 1,096,306 548,153 1,644,460 822,230 411,115 1,233,346 616,673 1,850,020 925,010 462,505 1,387,516 693,758 346,879 1,040,638 520,319

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