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Atlas › Integer Profiles › Node 57,769,328

57,769,328

24 × 41 × 83 × 1061
Abundant Even Composite

57,769,328 factors as 2^4 × 41 × 83 × 1061. Its 40 positive divisors give a proper-divisor sum of 58,379,488, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 83 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 116,148,816
Proper Divisor Sum 58,379,488
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #57769289 ← → #57769333

Radix Representation

Decimal 57769328
Binary 11011100010111110101110000 (26 bits)
Octal 0o334276560
Hexadecimal 0x3717D70

Divisor Catalog (40)

1 2 4 8 16 41 82 83 164 166 328 332 656 664 1,061 1,328 2,122 3,403 4,244 6,806 8,488 13,612 16,976 27,224 43,501 54,448 87,002 88,063 174,004 176,126 348,008 352,252 696,016 704,504 1,409,008 3,610,583 7,221,166 14,442,332 28,884,664 57,769,328

Collatz Trajectory (145 steps to reach 1)

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

57,769,328 28,884,664 14,442,332 7,221,166 3,610,583 10,831,750 5,415,875 16,247,626 8,123,813 24,371,440 12,185,720 6,092,860 3,046,430 1,523,215 4,569,646 2,284,823 6,854,470 3,427,235 10,281,706 5,140,853 15,422,560 7,711,280 3,855,640 1,927,820 963,910 481,955 1,445,866 722,933 2,168,800 1,084,400 542,200 271,100 135,550 67,775 203,326 101,663 304,990 152,495 457,486 228,743 686,230 343,115 1,029,346 514,673 1,544,020 772,010 386,005 1,158,016 579,008 289,504 144,752 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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