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Atlas › Integer Profiles › Node 57,798,366

57,798,366

2 × 3 × 37 × 167 × 1559
Abundant Even Composite

57,798,366 factors as 2 × 3 × 37 × 167 × 1559. Its 32 positive divisors give a proper-divisor sum of 61,710,114, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 167 × 1559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 119,508,480
Proper Divisor Sum 61,710,114
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #57798359 ← → #57798371

Radix Representation

Decimal 57798366
Binary 11011100011110111011011110 (26 bits)
Octal 0o334367336
Hexadecimal 0x371EEDE

Divisor Catalog (32)

1 2 3 6 37 74 111 167 222 334 501 1,002 1,559 3,118 4,677 6,179 9,354 12,358 18,537 37,074 57,683 115,366 173,049 260,353 346,098 520,706 781,059 1,562,118 9,633,061 19,266,122 28,899,183 57,798,366

Collatz Trajectory (238 steps to reach 1)

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

57,798,366 28,899,183 86,697,550 43,348,775 130,046,326 65,023,163 195,069,490 97,534,745 292,604,236 146,302,118 73,151,059 219,453,178 109,726,589 329,179,768 164,589,884 82,294,942 41,147,471 123,442,414 61,721,207 185,163,622 92,581,811 277,745,434 138,872,717 416,618,152 208,309,076 104,154,538 52,077,269 156,231,808 78,115,904 39,057,952 19,528,976 9,764,488 4,882,244 2,441,122 1,220,561 3,661,684 1,830,842 915,421 2,746,264 1,373,132 686,566 343,283 1,029,850 514,925 1,544,776 772,388 386,194 193,097 579,292 289,646 144,823 434,470 217,235 651,706 325,853 977,560 488,780 244,390 122,195 366,586

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