9,729,231

3 × 109 × 29753

9,729,231 factors as 3 × 109 × 29753. Its 8 positive divisors give a proper-divisor sum of 3,362,529, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3 × 109 × 29753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,091,760

Proper Divisor Sum 3,362,529

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9729227 ← → #9729241

Radix Representation

Decimal	9729231
Binary	100101000111010011001111 (24 bits)
Octal	0o45072317
Hexadecimal	0x9474CF

Divisor Catalog (8)

1 3 109 327 29,753 89,259 3,243,077 9,729,231

Collatz Trajectory (251 steps to reach 1)

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

9,729,231 29,187,694 14,593,847 43,781,542 21,890,771 65,672,314 32,836,157 98,508,472 49,254,236 24,627,118 12,313,559 36,940,678 18,470,339 55,411,018 27,705,509 83,116,528 41,558,264 20,779,132 10,389,566 5,194,783 15,584,350 7,792,175 23,376,526 11,688,263 35,064,790 17,532,395 52,597,186 26,298,593 78,895,780 39,447,890 19,723,945 59,171,836 29,585,918 14,792,959 44,378,878 22,189,439 66,568,318 33,284,159 99,852,478 49,926,239 149,778,718 74,889,359 224,668,078 112,334,039 337,002,118 168,501,059 505,503,178 252,751,589 758,254,768 379,127,384 189,563,692 94,781,846 47,390,923 142,172,770 71,086,385 213,259,156 106,629,578 53,314,789 159,944,368 79,972,184

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