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Atlas › Integer Profiles › Node 12,643,792

12,643,792

24 × 7 × 79 × 1429
Abundant Even Composite

12,643,792 factors as 2^4 × 7 × 79 × 1429. Its 40 positive divisors give a proper-divisor sum of 15,727,408, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 79 × 1429
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 28,371,200
Proper Divisor Sum 15,727,408
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #12643783 ← → #12643793

Radix Representation

Decimal 12643792
Binary 110000001110110111010000 (24 bits)
Octal 0o60166720
Hexadecimal 0xC0EDD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1,106 1,264 1,429 2,212 2,858 4,424 5,716 8,848 10,003 11,432 20,006 22,864 40,012 80,024 112,891 160,048 225,782 451,564 790,237 903,128 1,580,474 1,806,256 3,160,948 6,321,896 12,643,792

Collatz Trajectory (153 steps to reach 1)

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

12,643,792 6,321,896 3,160,948 1,580,474 790,237 2,370,712 1,185,356 592,678 296,339 889,018 444,509 1,333,528 666,764 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231

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