2³ × 3² × 13 × 457

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,250,340

Proper Divisor Sum 822,588

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #427751 ← → #427781

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 457 468 914 936 1,371 1,828 2,742 3,656 4,113 5,484 5,941 8,226 10,968 11,882 16,452 17,823 23,764 32,904 35,646 47,528 53,469 71,292 106,938 142,584 213,876 427,752

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

427,752 213,876 106,938 53,469 160,408 80,204 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.