3³ × 5 × 7 × 47

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 92,160

Proper Divisor Sum 47,745

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #44389 ← → #44417

1 3 5 7 9 15 21 27 35 45 47 63 105 135 141 189 235 315 329 423 705 945 987 1,269 1,645 2,115 2,961 4,935 6,345 8,883 14,805 44,415

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

44,415 133,246 66,623 199,870 99,935 299,806 149,903 449,710 224,855 674,566 337,283 1,011,850 505,925 1,517,776 758,888 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151

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