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Atlas › Integer Profiles › Node 57,713,052

57,713,052

22 × 3 × 43 × 111847
Abundant Even Composite

57,713,052 factors as 2^2 × 3 × 43 × 111847. Its 24 positive divisors give a proper-divisor sum of 80,083,684, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 111847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 137,796,736
Proper Divisor Sum 80,083,684
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #57713027 ← → #57713053

Radix Representation

Decimal 57713052
Binary 11011100001010000110011100 (26 bits)
Octal 0o334120634
Hexadecimal 0x370A19C

Divisor Catalog (24)

1 2 3 4 6 12 43 86 129 172 258 516 111,847 223,694 335,541 447,388 671,082 1,342,164 4,809,421 9,618,842 14,428,263 19,237,684 28,856,526 57,713,052

Collatz Trajectory (238 steps to reach 1)

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

57,713,052 28,856,526 14,428,263 43,284,790 21,642,395 64,927,186 32,463,593 97,390,780 48,695,390 24,347,695 73,043,086 36,521,543 109,564,630 54,782,315 164,346,946 82,173,473 246,520,420 123,260,210 61,630,105 184,890,316 92,445,158 46,222,579 138,667,738 69,333,869 208,001,608 104,000,804 52,000,402 26,000,201 78,000,604 39,000,302 19,500,151 58,500,454 29,250,227 87,750,682 43,875,341 131,626,024 65,813,012 32,906,506 16,453,253 49,359,760 24,679,880 12,339,940 6,169,970 3,084,985 9,254,956 4,627,478 2,313,739 6,941,218 3,470,609 10,411,828 5,205,914 2,602,957 7,808,872 3,904,436 1,952,218 976,109 2,928,328 1,464,164 732,082 366,041

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