3 × 5 × 7³ × 11

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 115,200

Proper Divisor Sum 58,605

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #56591 ← → #56597

1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 343 385 539 735 1,029 1,155 1,617 1,715 2,695 3,773 5,145 8,085 11,319 18,865 56,595

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

56,595 169,786 84,893 254,680 127,340 63,670 31,835 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364

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