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Atlas › Integer Profiles › Node 76,356,486

76,356,486

2 × 33 × 17 × 83177
Abundant Even Composite

76,356,486 factors as 2 × 3^3 × 17 × 83177. Its 32 positive divisors give a proper-divisor sum of 103,307,994, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 83177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 179,664,480
Proper Divisor Sum 103,307,994
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #76356463 ← → #76356487

Radix Representation

Decimal 76356486
Binary 100100011010001101110000110 (27 bits)
Octal 0o443215606
Hexadecimal 0x48D1B86

Divisor Catalog (32)

1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 83,177 166,354 249,531 499,062 748,593 1,414,009 1,497,186 2,245,779 2,828,018 4,242,027 4,491,558 8,484,054 12,726,081 25,452,162 38,178,243 76,356,486

Collatz Trajectory (241 steps to reach 1)

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

76,356,486 38,178,243 114,534,730 57,267,365 171,802,096 85,901,048 42,950,524 21,475,262 10,737,631 32,212,894 16,106,447 48,319,342 24,159,671 72,479,014 36,239,507 108,718,522 54,359,261 163,077,784 81,538,892 40,769,446 20,384,723 61,154,170 30,577,085 91,731,256 45,865,628 22,932,814 11,466,407 34,399,222 17,199,611 51,598,834 25,799,417 77,398,252 38,699,126 19,349,563 58,048,690 29,024,345 87,073,036 43,536,518 21,768,259 65,304,778 32,652,389 97,957,168 48,978,584 24,489,292 12,244,646 6,122,323 18,366,970 9,183,485 27,550,456 13,775,228 6,887,614 3,443,807 10,331,422 5,165,711 15,497,134 7,748,567 23,245,702 11,622,851 34,868,554 17,434,277

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