9,704,493

3² × 71 × 15187

9,704,493 factors as 3^2 × 71 × 15187. Its 12 positive divisors give a proper-divisor sum of 4,511,475, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3^2 × 71 × 15187

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,215,968

Proper Divisor Sum 4,511,475

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9704491 ← → #9704507

Radix Representation

Decimal	9704493
Binary	100101000001010000101101 (24 bits)
Octal	0o45012055
Hexadecimal	0x94142D

Divisor Catalog (12)

1 3 9 71 213 639 15,187 45,561 136,683 1,078,277 3,234,831 9,704,493

Collatz Trajectory (119 steps to reach 1)

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

9,704,493 29,113,480 14,556,740 7,278,370 3,639,185 10,917,556 5,458,778 2,729,389 8,188,168 4,094,084 2,047,042 1,023,521 3,070,564 1,535,282 767,641 2,302,924 1,151,462 575,731 1,727,194 863,597 2,590,792 1,295,396 647,698 323,849 971,548 485,774 242,887 728,662 364,331 1,092,994 546,497 1,639,492 819,746 409,873 1,229,620 614,810 307,405 922,216 461,108 230,554 115,277 345,832 172,916 86,458 43,229 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558

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