391,612

2² × 13 × 17 × 443

391,612 factors as 2^2 × 13 × 17 × 443. Its 24 positive divisors give a proper-divisor sum of 391,604, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 783,216

Proper Divisor Sum 391,604

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #391579 ← → #391613

Radix Representation

Decimal	391612
Binary	1011111100110111100 (19 bits)
Octal	0o1374674
Hexadecimal	0x5F9BC

Divisor Catalog (24)

1 2 4 13 17 26 34 52 68 221 442 443 884 886 1,772 5,759 7,531 11,518 15,062 23,036 30,124 97,903 195,806 391,612

Collatz Trajectory (130 steps to reach 1)

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

391,612 195,806 97,903 293,710 146,855 440,566 220,283 660,850 330,425 991,276 495,638 247,819 743,458 371,729 1,115,188 557,594 278,797 836,392 418,196 209,098 104,549 313,648 156,824 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486

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