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Atlas › Integer Profiles › Node 57,737,016

57,737,016

23 × 33 × 267301
Abundant Even Composite

57,737,016 factors as 2^3 × 3^3 × 267301. Its 32 positive divisors give a proper-divisor sum of 102,644,184, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 267301
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 160,381,200
Proper Divisor Sum 102,644,184
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57736993 ← → #57737027

Radix Representation

Decimal 57737016
Binary 11011100001111111100111000 (26 bits)
Octal 0o334177470
Hexadecimal 0x370FF38

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 267,301 534,602 801,903 1,069,204 1,603,806 2,138,408 2,405,709 3,207,612 4,811,418 6,415,224 7,217,127 9,622,836 14,434,254 19,245,672 28,868,508 57,737,016

Collatz Trajectory (145 steps to reach 1)

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

57,737,016 28,868,508 14,434,254 7,217,127 21,651,382 10,825,691 32,477,074 16,238,537 48,715,612 24,357,806 12,178,903 36,536,710 18,268,355 54,805,066 27,402,533 82,207,600 41,103,800 20,551,900 10,275,950 5,137,975 15,413,926 7,706,963 23,120,890 11,560,445 34,681,336 17,340,668 8,670,334 4,335,167 13,005,502 6,502,751 19,508,254 9,754,127 29,262,382 14,631,191 43,893,574 21,946,787 65,840,362 32,920,181 98,760,544 49,380,272 24,690,136 12,345,068 6,172,534 3,086,267 9,258,802 4,629,401 13,888,204 6,944,102 3,472,051 10,416,154 5,208,077 15,624,232 7,812,116 3,906,058 1,953,029 5,859,088 2,929,544 1,464,772 732,386 366,193

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