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Atlas › Integer Profiles › Node 56,757,160

56,757,160

23 × 5 × 443 × 3203
Abundant Even Composite

56,757,160 factors as 2^3 × 5 × 443 × 3203. Its 32 positive divisors give a proper-divisor sum of 71,274,680, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 443 × 3203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 128,031,840
Proper Divisor Sum 71,274,680
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #56757157 ← → #56757163

Radix Representation

Decimal 56757160
Binary 11011000100000101110101000 (26 bits)
Octal 0o330405650
Hexadecimal 0x3620BA8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 443 886 1,772 2,215 3,203 3,544 4,430 6,406 8,860 12,812 16,015 17,720 25,624 32,030 64,060 128,120 1,418,929 2,837,858 5,675,716 7,094,645 11,351,432 14,189,290 28,378,580 56,757,160

Collatz Trajectory (124 steps to reach 1)

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

56,757,160 28,378,580 14,189,290 7,094,645 21,283,936 10,641,968 5,320,984 2,660,492 1,330,246 665,123 1,995,370 997,685 2,993,056 1,496,528 748,264 374,132 187,066 93,533 280,600 140,300 70,150 35,075 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003

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