2 × 3³ × 5 × 19 × 89

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 19 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,296,000

Proper Divisor Sum 839,430

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #456559 ← → #456571

1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 89 90 95 114 135 171 178 190 267 270 285 342 445 513 534 570 801 855 890 1,026 1,335 1,602 1,691 1,710 2,403 2,565 2,670 3,382 4,005 4,806 5,073 5,130 8,010 8,455 10,146 12,015 15,219 16,910 24,030 25,365 30,438 45,657 50,730 76,095

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

456,570 228,285 684,856 342,428 171,214 85,607 256,822 128,411 385,234 192,617 577,852 288,926 144,463 433,390 216,695 650,086 325,043 975,130 487,565 1,462,696 731,348 365,674 182,837 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

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