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Atlas › Integer Profiles › Node 59,100,880

59,100,880

24 × 5 × 31 × 23831
Abundant Even Composite

59,100,880 factors as 2^4 × 5 × 31 × 23831. Its 40 positive divisors give a proper-divisor sum of 82,747,184, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 23831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 141,848,064
Proper Divisor Sum 82,747,184
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #59100863 ← → #59100893

Radix Representation

Decimal 59100880
Binary 11100001011100111011010000 (26 bits)
Octal 0o341347320
Hexadecimal 0x385CED0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 2,480 23,831 47,662 95,324 119,155 190,648 238,310 381,296 476,620 738,761 953,240 1,477,522 1,906,480 2,955,044 3,693,805 5,910,088 7,387,610 11,820,176 14,775,220 29,550,440 59,100,880

Collatz Trajectory (163 steps to reach 1)

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

59,100,880 29,550,440 14,775,220 7,387,610 3,693,805 11,081,416 5,540,708 2,770,354 1,385,177 4,155,532 2,077,766 1,038,883 3,116,650 1,558,325 4,674,976 2,337,488 1,168,744 584,372 292,186 146,093 438,280 219,140 109,570 54,785 164,356 82,178 41,089 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420

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