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Atlas › Integer Profiles › Node 15,039,520

15,039,520

25 × 5 × 93997
Abundant Even Composite

15,039,520 factors as 2^5 × 5 × 93997. Its 24 positive divisors give a proper-divisor sum of 20,491,724, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 93997
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,531,244
Proper Divisor Sum 20,491,724
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15039511 ← → #15039523

Radix Representation

Decimal 15039520
Binary 111001010111110000100000 (24 bits)
Octal 0o71276040
Hexadecimal 0xE57C20

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 93,997 187,994 375,988 469,985 751,976 939,970 1,503,952 1,879,940 3,007,904 3,759,880 7,519,760 15,039,520

Collatz Trajectory (86 steps to reach 1)

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

15,039,520 7,519,760 3,759,880 1,879,940 939,970 469,985 1,409,956 704,978 352,489 1,057,468 528,734 264,367 793,102 396,551 1,189,654 594,827 1,784,482 892,241 2,676,724 1,338,362 669,181 2,007,544 1,003,772 501,886 250,943 752,830 376,415 1,129,246 564,623 1,693,870 846,935 2,540,806 1,270,403 3,811,210 1,905,605 5,716,816 2,858,408 1,429,204 714,602 357,301 1,071,904 535,952 267,976 133,988 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650

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