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Atlas › Integer Profiles › Node 57,769,244

57,769,244

22 × 13 × 31 × 35837
Deficient Even Composite

57,769,244 factors as 2^2 × 13 × 31 × 35837. Its 24 positive divisors give a proper-divisor sum of 54,618,724, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 35837
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 112,387,968
Proper Divisor Sum 54,618,724
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57769219 ← → #57769267

Radix Representation

Decimal 57769244
Binary 11011100010111110100011100 (26 bits)
Octal 0o334276434
Hexadecimal 0x3717D1C

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 35,837 71,674 143,348 465,881 931,762 1,110,947 1,863,524 2,221,894 4,443,788 14,442,311 28,884,622 57,769,244

Collatz Trajectory (145 steps to reach 1)

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

57,769,244 28,884,622 14,442,311 43,326,934 21,663,467 64,990,402 32,495,201 97,485,604 48,742,802 24,371,401 73,114,204 36,557,102 18,278,551 54,835,654 27,417,827 82,253,482 41,126,741 123,380,224 61,690,112 30,845,056 15,422,528 7,711,264 3,855,632 1,927,816 963,908 481,954 240,977 722,932 361,466 180,733 542,200 271,100 135,550 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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