9,723,405

3 × 5 × 17² × 2243

9,723,405 factors as 3 × 5 × 17^2 × 2243. Its 24 positive divisors give a proper-divisor sum of 6,810,387, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17^2 × 2243

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,533,792

Proper Divisor Sum 6,810,387

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9723403 ← → #9723409

Radix Representation

Decimal	9723405
Binary	100101000101111000001101 (24 bits)
Octal	0o45057015
Hexadecimal	0x945E0D

Divisor Catalog (24)

Collatz Trajectory (88 steps to reach 1)

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

9,723,405 29,170,216 14,585,108 7,292,554 3,646,277 10,938,832 5,469,416 2,734,708 1,367,354 683,677 2,051,032 1,025,516 512,758 256,379 769,138 384,569 1,153,708 576,854 288,427 865,282 432,641 1,297,924 648,962 324,481 973,444 486,722 243,361 730,084 365,042 182,521 547,564 273,782 136,891 410,674 205,337 616,012 308,006 154,003 462,010 231,005 693,016 346,508 173,254 86,627 259,882 129,941 389,824 194,912 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280

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