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Atlas › Integer Profiles › Node 57,775,272

57,775,272

23 × 3 × 199 × 12097
Abundant Even Composite

57,775,272 factors as 2^3 × 3 × 199 × 12097. Its 32 positive divisors give a proper-divisor sum of 87,400,728, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 199 × 12097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 145,176,000
Proper Divisor Sum 87,400,728
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57775271 ← → #57775283

Radix Representation

Decimal 57775272
Binary 11011100011001010010101000 (26 bits)
Octal 0o334312250
Hexadecimal 0x37194A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 199 398 597 796 1,194 1,592 2,388 4,776 12,097 24,194 36,291 48,388 72,582 96,776 145,164 290,328 2,407,303 4,814,606 7,221,909 9,629,212 14,443,818 19,258,424 28,887,636 57,775,272

Collatz Trajectory (238 steps to reach 1)

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

57,775,272 28,887,636 14,443,818 7,221,909 21,665,728 10,832,864 5,416,432 2,708,216 1,354,108 677,054 338,527 1,015,582 507,791 1,523,374 761,687 2,285,062 1,142,531 3,427,594 1,713,797 5,141,392 2,570,696 1,285,348 642,674 321,337 964,012 482,006 241,003 723,010 361,505 1,084,516 542,258 271,129 813,388 406,694 203,347 610,042 305,021 915,064 457,532 228,766 114,383 343,150 171,575 514,726 257,363 772,090 386,045 1,158,136 579,068 289,534 144,767 434,302 217,151 651,454 325,727 977,182 488,591 1,465,774 732,887 2,198,662

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