9,712,925

5² × 107 × 3631

9,712,925 factors as 5^2 × 107 × 3631. Its 12 positive divisors give a proper-divisor sum of 2,447,011, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 5^2 × 107 × 3631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,159,936

Proper Divisor Sum 2,447,011

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9712921 ← → #9712931

Radix Representation

Decimal	9712925
Binary	100101000011010100011101 (24 bits)
Octal	0o45032435
Hexadecimal	0x94351D

Divisor Catalog (12)

1 5 25 107 535 2,675 3,631 18,155 90,775 388,517 1,942,585 9,712,925

Collatz Trajectory (269 steps to reach 1)

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

9,712,925 29,138,776 14,569,388 7,284,694 3,642,347 10,927,042 5,463,521 16,390,564 8,195,282 4,097,641 12,292,924 6,146,462 3,073,231 9,219,694 4,609,847 13,829,542 6,914,771 20,744,314 10,372,157 31,116,472 15,558,236 7,779,118 3,889,559 11,668,678 5,834,339 17,503,018 8,751,509 26,254,528 13,127,264 6,563,632 3,281,816 1,640,908 820,454 410,227 1,230,682 615,341 1,846,024 923,012 461,506 230,753 692,260 346,130 173,065 519,196 259,598 129,799 389,398 194,699 584,098 292,049 876,148 438,074 219,037 657,112 328,556 164,278 82,139 246,418 123,209 369,628

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