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Atlas › Integer Profiles › Node 83,045,562

83,045,562

2 × 3 × 67 × 337 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 67 × 337 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 169,346,112
Proper Divisor Sum 86,300,550
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #83045551 ← → #83045563

Radix Representation

Decimal 83045562
Binary 100111100110010110010111010 (27 bits)
Octal 0o474626272
Hexadecimal 0x4F32CBA

Divisor Catalog (32)

1 2 3 6 67 134 201 337 402 613 674 1,011 1,226 1,839 2,022 3,678 22,579 41,071 45,158 67,737 82,142 123,213 135,474 206,581 246,426 413,162 619,743 1,239,486 13,840,927 27,681,854 41,522,781 83,045,562

Collatz Trajectory (254 steps to reach 1)

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

83,045,562 41,522,781 124,568,344 62,284,172 31,142,086 15,571,043 46,713,130 23,356,565 70,069,696 35,034,848 17,517,424 8,758,712 4,379,356 2,189,678 1,094,839 3,284,518 1,642,259 4,926,778 2,463,389 7,390,168 3,695,084 1,847,542 923,771 2,771,314 1,385,657 4,156,972 2,078,486 1,039,243 3,117,730 1,558,865 4,676,596 2,338,298 1,169,149 3,507,448 1,753,724 876,862 438,431 1,315,294 657,647 1,972,942 986,471 2,959,414 1,479,707 4,439,122 2,219,561 6,658,684 3,329,342 1,664,671 4,994,014 2,497,007 7,491,022 3,745,511 11,236,534 5,618,267 16,854,802 8,427,401 25,282,204 12,641,102 6,320,551 18,961,654

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