96,441

3 × 17 × 31 × 61

96,441 factors as 3 × 17 × 31 × 61. Its 16 positive divisors give a proper-divisor sum of 46,407, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3 × 17 × 31 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 142,848

Proper Divisor Sum 46,407

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #96431 ← → #96443

Radix Representation

Decimal	96441
Binary	10111100010111001 (17 bits)
Octal	0o274271
Hexadecimal	0x178B9

Divisor Catalog (16)

1 3 17 31 51 61 93 183 527 1,037 1,581 1,891 3,111 5,673 32,147 96,441

Collatz Trajectory (97 steps to reach 1)

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

96,441 289,324 144,662 72,331 216,994 108,497 325,492 162,746 81,373 244,120 122,060 61,030 30,515 91,546 45,773 137,320 68,660 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614

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