96,350

2 × 5² × 41 × 47

96,350 factors as 2 × 5^2 × 41 × 47. Its 24 positive divisors give a proper-divisor sum of 91,138, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 41 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 187,488

Proper Divisor Sum 91,138

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #96337 ← → #96353

Radix Representation

Decimal	96350
Binary	10111100001011110 (17 bits)
Octal	0o274136
Hexadecimal	0x1785E

Divisor Catalog (24)

1 2 5 10 25 41 47 50 82 94 205 235 410 470 1,025 1,175 1,927 2,050 2,350 3,854 9,635 19,270 48,175 96,350

Collatz Trajectory (146 steps to reach 1)

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

96,350 48,175 144,526 72,263 216,790 108,395 325,186 162,593 487,780 243,890 121,945 365,836 182,918 91,459 274,378 137,189 411,568 205,784 102,892 51,446 25,723 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103

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