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Atlas › Integer Profiles › Node 59,131,980

59,131,980

22 × 32 × 5 × 328511
Abundant Even Composite

59,131,980 factors as 2^2 × 3^2 × 5 × 328511. Its 36 positive divisors give a proper-divisor sum of 120,235,572, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 328511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 179,367,552
Proper Divisor Sum 120,235,572
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #59131951 ← → #59131981

Radix Representation

Decimal 59131980
Binary 11100001100100100001001100 (26 bits)
Octal 0o341444114
Hexadecimal 0x386484C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 328,511 657,022 985,533 1,314,044 1,642,555 1,971,066 2,956,599 3,285,110 3,942,132 4,927,665 5,913,198 6,570,220 9,855,330 11,826,396 14,782,995 19,710,660 29,565,990 59,131,980

Collatz Trajectory (194 steps to reach 1)

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

59,131,980 29,565,990 14,782,995 44,348,986 22,174,493 66,523,480 33,261,740 16,630,870 8,315,435 24,946,306 12,473,153 37,419,460 18,709,730 9,354,865 28,064,596 14,032,298 7,016,149 21,048,448 10,524,224 5,262,112 2,631,056 1,315,528 657,764 328,882 164,441 493,324 246,662 123,331 369,994 184,997 554,992 277,496 138,748 69,374 34,687 104,062 52,031 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056

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