3³ × 5³ × 7 × 13

Prime Factor Structure

Factorization String 3^3 × 5^3 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 698,880

Proper Divisor Sum 391,755

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #307121 ← → #307129

1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 125 135 175 189 195 225 273 315 325 351 375 455 525 585 675 819 875 945 975 1,125 1,365 1,575 1,625 1,755 2,275 2,457 2,625 2,925 3,375 4,095 4,725 4,875 6,825 7,875 8,775 11,375 12,285 14,625 20,475 23,625 34,125

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

307,125 921,376 460,688 230,344 115,172 57,586 28,793 86,380 43,190 21,595 64,786 32,393 97,180 48,590 24,295 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949

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