2⁵ × 3² × 17 × 83

Prime Factor Structure

Factorization String 2^5 × 3^2 × 17 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,238,328

Proper Divisor Sum 831,960

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #406361 ← → #406381

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 83 96 102 136 144 153 166 204 249 272 288 306 332 408 498 544 612 664 747 816 996 1,224 1,328 1,411 1,494 1,632 1,992 2,448 2,656 2,822 2,988 3,984 4,233 4,896 5,644 5,976 7,968 8,466 11,288 11,952 12,699

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

406,368 203,184 101,592 50,796 25,398 12,699 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478

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