392,637

3 × 7² × 2671

392,637 factors as 3 × 7^2 × 2671. Its 12 positive divisors give a proper-divisor sum of 216,579, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 2671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 609,216

Proper Divisor Sum 216,579

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #392629 ← → #392647

Radix Representation

Decimal	392637
Binary	1011111110110111101 (19 bits)
Octal	0o1376675
Hexadecimal	0x5FDBD

Divisor Catalog (12)

1 3 7 21 49 147 2,671 8,013 18,697 56,091 130,879 392,637

Collatz Trajectory (130 steps to reach 1)

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

392,637 1,177,912 588,956 294,478 147,239 441,718 220,859 662,578 331,289 993,868 496,934 248,467 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167 99,502 49,751 149,254 74,627 223,882 111,941 335,824 167,912 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666

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