392,316

2² × 3 × 32693

392,316 factors as 2^2 × 3 × 32693. Its 12 positive divisors give a proper-divisor sum of 523,116, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 32693

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 915,432

Proper Divisor Sum 523,116

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #392299 ← → #392321

Radix Representation

Decimal	392316
Binary	1011111110001111100 (19 bits)
Octal	0o1376174
Hexadecimal	0x5FC7C

Divisor Catalog (12)

1 2 3 4 6 12 32,693 65,386 98,079 130,772 196,158 392,316

Collatz Trajectory (161 steps to reach 1)

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

392,316 196,158 98,079 294,238 147,119 441,358 220,679 662,038 331,019 993,058 496,529 1,489,588 744,794 372,397 1,117,192 558,596 279,298 139,649 418,948 209,474 104,737 314,212 157,106 78,553 235,660 117,830 58,915 176,746 88,373 265,120 132,560 66,280 33,140 16,570 8,285 24,856 12,428 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71

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