9,625,815

3² × 5 × 409 × 523

9,625,815 factors as 3^2 × 5 × 409 × 523. Its 24 positive divisors give a proper-divisor sum of 7,131,705, so this integer is deficient. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 409 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,757,520

Proper Divisor Sum 7,131,705

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9625793 ← → #9625831

Radix Representation

Decimal	9625815
Binary	100100101110000011010111 (24 bits)
Octal	0o44560327
Hexadecimal	0x92E0D7

Divisor Catalog (24)

Collatz Trajectory (300 steps to reach 1)

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

9,625,815 28,877,446 14,438,723 43,316,170 21,658,085 64,974,256 32,487,128 16,243,564 8,121,782 4,060,891 12,182,674 6,091,337 18,274,012 9,137,006 4,568,503 13,705,510 6,852,755 20,558,266 10,279,133 30,837,400 15,418,700 7,709,350 3,854,675 11,564,026 5,782,013 17,346,040 8,673,020 4,336,510 2,168,255 6,504,766 3,252,383 9,757,150 4,878,575 14,635,726 7,317,863 21,953,590 10,976,795 32,930,386 16,465,193 49,395,580 24,697,790 12,348,895 37,046,686 18,523,343 55,570,030 27,785,015 83,355,046 41,677,523 125,032,570 62,516,285 187,548,856 93,774,428 46,887,214 23,443,607 70,330,822 35,165,411 105,496,234 52,748,117 158,244,352 79,122,176

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