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Atlas › Integer Profiles › Node 57,741,888

57,741,888

26 × 3 × 300739
Abundant Even Composite

57,741,888 factors as 2^6 × 3 × 300739. Its 28 positive divisors give a proper-divisor sum of 95,034,032, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 300739
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 152,775,920
Proper Divisor Sum 95,034,032
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57741883 ← → #57741889

Radix Representation

Decimal 57741888
Binary 11011100010001001001000000 (26 bits)
Octal 0o334211100
Hexadecimal 0x3711240

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 300,739 601,478 902,217 1,202,956 1,804,434 2,405,912 3,608,868 4,811,824 7,217,736 9,623,648 14,435,472 19,247,296 28,870,944 57,741,888

Collatz Trajectory (176 steps to reach 1)

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

57,741,888 28,870,944 14,435,472 7,217,736 3,608,868 1,804,434 902,217 2,706,652 1,353,326 676,663 2,029,990 1,014,995 3,044,986 1,522,493 4,567,480 2,283,740 1,141,870 570,935 1,712,806 856,403 2,569,210 1,284,605 3,853,816 1,926,908 963,454 481,727 1,445,182 722,591 2,167,774 1,083,887 3,251,662 1,625,831 4,877,494 2,438,747 7,316,242 3,658,121 10,974,364 5,487,182 2,743,591 8,230,774 4,115,387 12,346,162 6,173,081 18,519,244 9,259,622 4,629,811 13,889,434 6,944,717 20,834,152 10,417,076 5,208,538 2,604,269 7,812,808 3,906,404 1,953,202 976,601 2,929,804 1,464,902 732,451 2,197,354

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