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Atlas › Integer Profiles › Node 57,737,832

57,737,832

23 × 3 × 827 × 2909
Abundant Even Composite

57,737,832 factors as 2^3 × 3 × 827 × 2909. Its 32 positive divisors give a proper-divisor sum of 86,830,968, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 827 × 2909
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 144,568,800
Proper Divisor Sum 86,830,968
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57737819 ← → #57737833

Radix Representation

Decimal 57737832
Binary 11011100010000001001101000 (26 bits)
Octal 0o334201150
Hexadecimal 0x3710268

Divisor Catalog (32)

1 2 3 4 6 8 12 24 827 1,654 2,481 2,909 3,308 4,962 5,818 6,616 8,727 9,924 11,636 17,454 19,848 23,272 34,908 69,816 2,405,743 4,811,486 7,217,229 9,622,972 14,434,458 19,245,944 28,868,916 57,737,832

Collatz Trajectory (93 steps to reach 1)

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

57,737,832 28,868,916 14,434,458 7,217,229 21,651,688 10,825,844 5,412,922 2,706,461 8,119,384 4,059,692 2,029,846 1,014,923 3,044,770 1,522,385 4,567,156 2,283,578 1,141,789 3,425,368 1,712,684 856,342 428,171 1,284,514 642,257 1,926,772 963,386 481,693 1,445,080 722,540 361,270 180,635 541,906 270,953 812,860 406,430 203,215 609,646 304,823 914,470 457,235 1,371,706 685,853 2,057,560 1,028,780 514,390 257,195 771,586 385,793 1,157,380 578,690 289,345 868,036 434,018 217,009 651,028 325,514 162,757 488,272 244,136 122,068 61,034

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