792,891

3² × 11 × 8009

792,891 factors as 3^2 × 11 × 8009. Its 12 positive divisors give a proper-divisor sum of 456,669, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 8009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,249,560

Proper Divisor Sum 456,669

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #792881 ← → #792893

Radix Representation

Decimal	792891
Binary	11000001100100111011 (20 bits)
Octal	0o3014473
Hexadecimal	0xC193B

Divisor Catalog (12)

1 3 9 11 33 99 8,009 24,027 72,081 88,099 264,297 792,891

Collatz Trajectory (74 steps to reach 1)

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

792,891 2,378,674 1,189,337 3,568,012 1,784,006 892,003 2,676,010 1,338,005 4,014,016 2,007,008 1,003,504 501,752 250,876 125,438 62,719 188,158 94,079 282,238 141,119 423,358 211,679 635,038 317,519 952,558 476,279 1,428,838 714,419 2,143,258 1,071,629 3,214,888 1,607,444 803,722 401,861 1,205,584 602,792 301,396 150,698 75,349 226,048 113,024 56,512 28,256 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140

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