9,125,500

2² × 5³ × 18251

9,125,500 factors as 2^2 × 5^3 × 18251. Its 24 positive divisors give a proper-divisor sum of 10,805,684, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 18251

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,931,184

Proper Divisor Sum 10,805,684

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9125497 ← → #9125507

Radix Representation

Decimal	9125500
Binary	100010110011111001111100 (24 bits)
Octal	0o42637174
Hexadecimal	0x8B3E7C

Divisor Catalog (24)

Collatz Trajectory (217 steps to reach 1)

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

9,125,500 4,562,750 2,281,375 6,844,126 3,422,063 10,266,190 5,133,095 15,399,286 7,699,643 23,098,930 11,549,465 34,648,396 17,324,198 8,662,099 25,986,298 12,993,149 38,979,448 19,489,724 9,744,862 4,872,431 14,617,294 7,308,647 21,925,942 10,962,971 32,888,914 16,444,457 49,333,372 24,666,686 12,333,343 37,000,030 18,500,015 55,500,046 27,750,023 83,250,070 41,625,035 124,875,106 62,437,553 187,312,660 93,656,330 46,828,165 140,484,496 70,242,248 35,121,124 17,560,562 8,780,281 26,340,844 13,170,422 6,585,211 19,755,634 9,877,817 29,633,452 14,816,726 7,408,363 22,225,090 11,112,545 33,337,636 16,668,818 8,334,409 25,003,228 12,501,614

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