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Atlas › Integer Profiles › Node 57,904,792

57,904,792

23 × 112 × 41 × 1459
Abundant Even Composite

57,904,792 factors as 2^3 × 11^2 × 41 × 1459. Its 48 positive divisors give a proper-divisor sum of 64,428,608, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 41 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 122,333,400
Proper Divisor Sum 64,428,608
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57904747 ← → #57904811

Radix Representation

Decimal 57904792
Binary 11011100111000111010011000 (26 bits)
Octal 0o334707230
Hexadecimal 0x3738E98

Divisor Catalog (48)

1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1,459 1,804 2,918 3,608 4,961 5,836 9,922 11,672 16,049 19,844 32,098 39,688 59,819 64,196 119,638 128,392 176,539 239,276 353,078 478,552 658,009 706,156 1,316,018 1,412,312 2,632,036 5,264,072 7,238,099 14,476,198 28,952,396 57,904,792

Collatz Trajectory (145 steps to reach 1)

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

57,904,792 28,952,396 14,476,198 7,238,099 21,714,298 10,857,149 32,571,448 16,285,724 8,142,862 4,071,431 12,214,294 6,107,147 18,321,442 9,160,721 27,482,164 13,741,082 6,870,541 20,611,624 10,305,812 5,152,906 2,576,453 7,729,360 3,864,680 1,932,340 966,170 483,085 1,449,256 724,628 362,314 181,157 543,472 271,736 135,868 67,934 33,967 101,902 50,951 152,854 76,427 229,282 114,641 343,924 171,962 85,981 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216

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