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Atlas › Integer Profiles › Node 79,857,076

79,857,076

22 × 13 × 19 × 131 × 617
Abundant Even Composite

79,857,076 factors as 2^2 × 13 × 19 × 131 × 617. Its 48 positive divisors give a proper-divisor sum of 80,031,884, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 131 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 159,888,960
Proper Divisor Sum 80,031,884
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #79857073 ← → #79857083

Radix Representation

Decimal 79857076
Binary 100110000101000010110110100 (27 bits)
Octal 0o460502664
Hexadecimal 0x4C285B4

Divisor Catalog (48)

1 2 4 13 19 26 38 52 76 131 247 262 494 524 617 988 1,234 1,703 2,468 2,489 3,406 4,978 6,812 8,021 9,956 11,723 16,042 23,446 32,084 32,357 46,892 64,714 80,827 129,428 152,399 161,654 304,798 323,308 609,596 1,050,751 1,535,713 2,101,502 3,071,426 4,203,004 6,142,852 19,964,269 39,928,538 79,857,076

Collatz Trajectory (254 steps to reach 1)

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

79,857,076 39,928,538 19,964,269 59,892,808 29,946,404 14,973,202 7,486,601 22,459,804 11,229,902 5,614,951 16,844,854 8,422,427 25,267,282 12,633,641 37,900,924 18,950,462 9,475,231 28,425,694 14,212,847 42,638,542 21,319,271 63,957,814 31,978,907 95,936,722 47,968,361 143,905,084 71,952,542 35,976,271 107,928,814 53,964,407 161,893,222 80,946,611 242,839,834 121,419,917 364,259,752 182,129,876 91,064,938 45,532,469 136,597,408 68,298,704 34,149,352 17,074,676 8,537,338 4,268,669 12,806,008 6,403,004 3,201,502 1,600,751 4,802,254 2,401,127 7,203,382 3,601,691 10,805,074 5,402,537 16,207,612 8,103,806 4,051,903 12,155,710 6,077,855 18,233,566

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