171,012

2² × 3 × 14251

171,012 factors as 2^2 × 3 × 14251. Its 12 positive divisors give a proper-divisor sum of 228,044, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 14251

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 399,056

Proper Divisor Sum 228,044

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #171007 ← → #171023

Radix Representation

Decimal	171012
Binary	101001110000000100 (18 bits)
Octal	0o516004
Hexadecimal	0x29C04

Divisor Catalog (12)

1 2 3 4 6 12 14,251 28,502 42,753 57,004 85,506 171,012

Collatz Trajectory (152 steps to reach 1)

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

171,012 85,506 42,753 128,260 64,130 32,065 96,196 48,098 24,049 72,148 36,074 18,037 54,112 27,056 13,528 6,764 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

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