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Atlas › Integer Profiles › Node 13,626,656

13,626,656

25 × 17 × 37 × 677
Abundant Even Composite

13,626,656 factors as 2^5 × 17 × 37 × 677. Its 48 positive divisors give a proper-divisor sum of 15,589,720, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 37 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,216,376
Proper Divisor Sum 15,589,720
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #13626647 ← → #13626659

Radix Representation

Decimal 13626656
Binary 110011111110110100100000 (24 bits)
Octal 0o63766440
Hexadecimal 0xCFED20

Divisor Catalog (48)

1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 677 1,184 1,258 1,354 2,516 2,708 5,032 5,416 10,064 10,832 11,509 20,128 21,664 23,018 25,049 46,036 50,098 92,072 100,196 184,144 200,392 368,288 400,784 425,833 801,568 851,666 1,703,332 3,406,664 6,813,328 13,626,656

Collatz Trajectory (192 steps to reach 1)

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

13,626,656 6,813,328 3,406,664 1,703,332 851,666 425,833 1,277,500 638,750 319,375 958,126 479,063 1,437,190 718,595 2,155,786 1,077,893 3,233,680 1,616,840 808,420 404,210 202,105 606,316 303,158 151,579 454,738 227,369 682,108 341,054 170,527 511,582 255,791 767,374 383,687 1,151,062 575,531 1,726,594 863,297 2,589,892 1,294,946 647,473 1,942,420 971,210 485,605 1,456,816 728,408 364,204 182,102 91,051 273,154 136,577 409,732 204,866 102,433 307,300 153,650 76,825 230,476 115,238 57,619 172,858 86,429

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