72,024,550

2 × 5² × 13 × 110807

72,024,550 factors as 2 × 5^2 × 13 × 110807. Its 24 positive divisors give a proper-divisor sum of 72,247,466, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 110807

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 144,272,016

Proper Divisor Sum 72,247,466

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #72024503 ← → #72024553

Radix Representation

Decimal	72024550
Binary	100010010110000000111100110 (27 bits)
Octal	0o422600746
Hexadecimal	0x44B01E6

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

72,024,550 36,012,275 108,036,826 54,018,413 162,055,240 81,027,620 40,513,810 20,256,905 60,770,716 30,385,358 15,192,679 45,578,038 22,789,019 68,367,058 34,183,529 102,550,588 51,275,294 25,637,647 76,912,942 38,456,471 115,369,414 57,684,707 173,054,122 86,527,061 259,581,184 129,790,592 64,895,296 32,447,648 16,223,824 8,111,912 4,055,956 2,027,978 1,013,989 3,041,968 1,520,984 760,492 380,246 190,123 570,370 285,185 855,556 427,778 213,889 641,668 320,834 160,417 481,252 240,626 120,313 360,940 180,470 90,235 270,706 135,353 406,060 203,030 101,515 304,546 152,273 456,820

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