72,087,348

2² × 3 × 41 × 146519

72,087,348 factors as 2^2 × 3 × 41 × 146519. Its 24 positive divisors give a proper-divisor sum of 100,220,172, so this integer is abundant. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 146519

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 172,307,520

Proper Divisor Sum 100,220,172

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #72087347 ← → #72087371

Radix Representation

Decimal	72087348
Binary	100010010111111011100110100 (27 bits)
Octal	0o422773464
Hexadecimal	0x44BF734

Divisor Catalog (24)

Collatz Trajectory (259 steps to reach 1)

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

72,087,348 36,043,674 18,021,837 54,065,512 27,032,756 13,516,378 6,758,189 20,274,568 10,137,284 5,068,642 2,534,321 7,602,964 3,801,482 1,900,741 5,702,224 2,851,112 1,425,556 712,778 356,389 1,069,168 534,584 267,292 133,646 66,823 200,470 100,235 300,706 150,353 451,060 225,530 112,765 338,296 169,148 84,574 42,287 126,862 63,431 190,294 95,147 285,442 142,721 428,164 214,082 107,041 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701

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