59,177,456

2⁴ × 13 × 284507

59,177,456 factors as 2^4 × 13 × 284507. Its 20 positive divisors give a proper-divisor sum of 64,299,016, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 284507

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 123,476,472

Proper Divisor Sum 64,299,016

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #59177453 ← → #59177477

Radix Representation

Decimal	59177456
Binary	11100001101111100111110000 (26 bits)
Octal	0o341574760
Hexadecimal	0x386F9F0

Divisor Catalog (20)

Collatz Trajectory (220 steps to reach 1)

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

59,177,456 29,588,728 14,794,364 7,397,182 3,698,591 11,095,774 5,547,887 16,643,662 8,321,831 24,965,494 12,482,747 37,448,242 18,724,121 56,172,364 28,086,182 14,043,091 42,129,274 21,064,637 63,193,912 31,596,956 15,798,478 7,899,239 23,697,718 11,848,859 35,546,578 17,773,289 53,319,868 26,659,934 13,329,967 39,989,902 19,994,951 59,984,854 29,992,427 89,977,282 44,988,641 134,965,924 67,482,962 33,741,481 101,224,444 50,612,222 25,306,111 75,918,334 37,959,167 113,877,502 56,938,751 170,816,254 85,408,127 256,224,382 128,112,191 384,336,574 192,168,287 576,504,862 288,252,431 864,757,294 432,378,647 1,297,135,942 648,567,971 1,945,703,914 972,851,957 2,918,555,872

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