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Atlas › Integer Profiles › Node 57,769,624

57,769,624

23 × 11 × 29 × 22637
Abundant Even Composite

57,769,624 factors as 2^3 × 11 × 29 × 22637. Its 32 positive divisors give a proper-divisor sum of 64,475,576, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 22637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 122,245,200
Proper Divisor Sum 64,475,576
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #57769609 ← → #57769631

Radix Representation

Decimal 57769624
Binary 11011100010111111010011000 (26 bits)
Octal 0o334277230
Hexadecimal 0x3717E98

Divisor Catalog (32)

1 2 4 8 11 22 29 44 58 88 116 232 319 638 1,276 2,552 22,637 45,274 90,548 181,096 249,007 498,014 656,473 996,028 1,312,946 1,992,056 2,625,892 5,251,784 7,221,203 14,442,406 28,884,812 57,769,624

Collatz Trajectory (207 steps to reach 1)

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

57,769,624 28,884,812 14,442,406 7,221,203 21,663,610 10,831,805 32,495,416 16,247,708 8,123,854 4,061,927 12,185,782 6,092,891 18,278,674 9,139,337 27,418,012 13,709,006 6,854,503 20,563,510 10,281,755 30,845,266 15,422,633 46,267,900 23,133,950 11,566,975 34,700,926 17,350,463 52,051,390 26,025,695 78,077,086 39,038,543 117,115,630 58,557,815 175,673,446 87,836,723 263,510,170 131,755,085 395,265,256 197,632,628 98,816,314 49,408,157 148,224,472 74,112,236 37,056,118 18,528,059 55,584,178 27,792,089 83,376,268 41,688,134 20,844,067 62,532,202 31,266,101 93,798,304 46,899,152 23,449,576 11,724,788 5,862,394 2,931,197 8,793,592 4,396,796 2,198,398

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