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Atlas › Integer Profiles › Node 57,721,086

57,721,086

2 × 34 × 17 × 20959
Abundant Even Composite

57,721,086 factors as 2 × 3^4 × 17 × 20959. Its 40 positive divisors give a proper-divisor sum of 79,231,554, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 17 × 20959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 136,952,640
Proper Divisor Sum 79,231,554
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57721063 ← → #57721087

Radix Representation

Decimal 57721086
Binary 11011100001100000011111110 (26 bits)
Octal 0o334140376
Hexadecimal 0x370C0FE

Divisor Catalog (40)

1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1,377 2,754 20,959 41,918 62,877 125,754 188,631 356,303 377,262 565,893 712,606 1,068,909 1,131,786 1,697,679 2,137,818 3,206,727 3,395,358 6,413,454 9,620,181 19,240,362 28,860,543 57,721,086

Collatz Trajectory (181 steps to reach 1)

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

57,721,086 28,860,543 86,581,630 43,290,815 129,872,446 64,936,223 194,808,670 97,404,335 292,213,006 146,106,503 438,319,510 219,159,755 657,479,266 328,739,633 986,218,900 493,109,450 246,554,725 739,664,176 369,832,088 184,916,044 92,458,022 46,229,011 138,687,034 69,343,517 208,030,552 104,015,276 52,007,638 26,003,819 78,011,458 39,005,729 117,017,188 58,508,594 29,254,297 87,762,892 43,881,446 21,940,723 65,822,170 32,911,085 98,733,256 49,366,628 24,683,314 12,341,657 37,024,972 18,512,486 9,256,243 27,768,730 13,884,365 41,653,096 20,826,548 10,413,274 5,206,637 15,619,912 7,809,956 3,904,978 1,952,489 5,857,468 2,928,734 1,464,367 4,393,102 2,196,551

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