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Atlas › Integer Profiles › Node 57,701,740

57,701,740

22 × 5 × 172 × 67 × 149
Abundant Even Composite

57,701,740 factors as 2^2 × 5 × 17^2 × 67 × 149. Its 72 positive divisors give a proper-divisor sum of 73,817,060, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17^2 × 67 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 131,518,800
Proper Divisor Sum 73,817,060
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #57701737 ← → #57701741

Radix Representation

Decimal 57701740
Binary 11011100000111010101101100 (26 bits)
Octal 0o334072554
Hexadecimal 0x370756C

Divisor Catalog (60 of 72)

1 2 4 5 10 17 20 34 67 68 85 134 149 170 268 289 298 335 340 578 596 670 745 1,139 1,156 1,340 1,445 1,490 2,278 2,533 2,890 2,980 4,556 5,066 5,695 5,780 9,983 10,132 11,390 12,665 19,363 19,966 22,780 25,330 38,726 39,932 43,061 49,915 50,660 77,452 86,122 96,815 99,830 169,711 172,244 193,630 199,660 215,305 339,422 387,260

Collatz Trajectory (145 steps to reach 1)

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

57,701,740 28,850,870 14,425,435 43,276,306 21,638,153 64,914,460 32,457,230 16,228,615 48,685,846 24,342,923 73,028,770 36,514,385 109,543,156 54,771,578 27,385,789 82,157,368 41,078,684 20,539,342 10,269,671 30,809,014 15,404,507 46,213,522 23,106,761 69,320,284 34,660,142 17,330,071 51,990,214 25,995,107 77,985,322 38,992,661 116,977,984 58,488,992 29,244,496 14,622,248 7,311,124 3,655,562 1,827,781 5,483,344 2,741,672 1,370,836 685,418 342,709 1,028,128 514,064 257,032 128,516 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000

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