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Atlas › Integer Profiles › Node 57,738,740

57,738,740

22 × 5 × 23 × 31 × 4049
Abundant Even Composite

57,738,740 factors as 2^2 × 5 × 23 × 31 × 4049. Its 48 positive divisors give a proper-divisor sum of 72,898,060, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 31 × 4049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 130,636,800
Proper Divisor Sum 72,898,060
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57738721 ← → #57738761

Radix Representation

Decimal 57738740
Binary 11011100010000010111110100 (26 bits)
Octal 0o334202764
Hexadecimal 0x37105F4

Divisor Catalog (48)

1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1,426 2,852 3,565 4,049 7,130 8,098 14,260 16,196 20,245 40,490 80,980 93,127 125,519 186,254 251,038 372,508 465,635 502,076 627,595 931,270 1,255,190 1,862,540 2,510,380 2,886,937 5,773,874 11,547,748 14,434,685 28,869,370 57,738,740

Collatz Trajectory (207 steps to reach 1)

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

57,738,740 28,869,370 14,434,685 43,304,056 21,652,028 10,826,014 5,413,007 16,239,022 8,119,511 24,358,534 12,179,267 36,537,802 18,268,901 54,806,704 27,403,352 13,701,676 6,850,838 3,425,419 10,276,258 5,138,129 15,414,388 7,707,194 3,853,597 11,560,792 5,780,396 2,890,198 1,445,099 4,335,298 2,167,649 6,502,948 3,251,474 1,625,737 4,877,212 2,438,606 1,219,303 3,657,910 1,828,955 5,486,866 2,743,433 8,230,300 4,115,150 2,057,575 6,172,726 3,086,363 9,259,090 4,629,545 13,888,636 6,944,318 3,472,159 10,416,478 5,208,239 15,624,718 7,812,359 23,437,078 11,718,539 35,155,618 17,577,809 52,733,428 26,366,714 13,183,357

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