96,170

2 × 5 × 59 × 163

For 96,170, the 16 positive divisors have a total of 177,120. Removing 96,170 leaves 80,950, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 177,120

Proper Divisor Sum 80,950

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #96167 ← → #96179

Radix Representation

Decimal	96170
Binary	10111011110101010 (17 bits)
Octal	0o273652
Hexadecimal	0x177AA

Divisor Catalog (16)

1 2 5 10 59 118 163 295 326 590 815 1,630 9,617 19,234 48,085 96,170

Collatz Trajectory (146 steps to reach 1)

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

96,170 48,085 144,256 72,128 36,064 18,032 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

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