9,223,625

5³ × 113 × 653

9,223,625 factors as 5^3 × 113 × 653. Its 16 positive divisors give a proper-divisor sum of 2,407,111, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 5^3 × 113 × 653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,630,736

Proper Divisor Sum 2,407,111

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9223603 ← → #9223637

Radix Representation

Decimal	9223625
Binary	100011001011110111001001 (24 bits)
Octal	0o43136711
Hexadecimal	0x8CBDC9

Divisor Catalog (16)

1 5 25 113 125 565 653 2,825 3,265 14,125 16,325 73,789 81,625 368,945 1,844,725 9,223,625

Collatz Trajectory (75 steps to reach 1)

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

9,223,625 27,670,876 13,835,438 6,917,719 20,753,158 10,376,579 31,129,738 15,564,869 46,694,608 23,347,304 11,673,652 5,836,826 2,918,413 8,755,240 4,377,620 2,188,810 1,094,405 3,283,216 1,641,608 820,804 410,402 205,201 615,604 307,802 153,901 461,704 230,852 115,426 57,713 173,140 86,570 43,285 129,856 64,928 32,464 16,232 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272

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