72,044,060

2² × 5 × 11 × 327473

72,044,060 factors as 2^2 × 5 × 11 × 327473. Its 24 positive divisors give a proper-divisor sum of 93,002,836, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 327473

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 165,046,896

Proper Divisor Sum 93,002,836

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #72044059 ← → #72044081

Radix Representation

Decimal	72044060
Binary	100010010110100111000011100 (27 bits)
Octal	0o422647034
Hexadecimal	0x44B4E1C

Divisor Catalog (24)

Collatz Trajectory (91 steps to reach 1)

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

72,044,060 36,022,030 18,011,015 54,033,046 27,016,523 81,049,570 40,524,785 121,574,356 60,787,178 30,393,589 91,180,768 45,590,384 22,795,192 11,397,596 5,698,798 2,849,399 8,548,198 4,274,099 12,822,298 6,411,149 19,233,448 9,616,724 4,808,362 2,404,181 7,212,544 3,606,272 1,803,136 901,568 450,784 225,392 112,696 56,348 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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