3³ × 5³ × 7 × 31

Prime Factor Structure

Factorization String 3^3 × 5^3 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,597,440

Proper Divisor Sum 865,065

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #732373 ← → #732439

1 3 5 7 9 15 21 25 27 31 35 45 63 75 93 105 125 135 155 175 189 217 225 279 315 375 465 525 651 675 775 837 875 945 1,085 1,125 1,395 1,575 1,953 2,325 2,625 3,255 3,375 3,875 4,185 4,725 5,425 5,859 6,975 7,875 9,765 11,625 16,275 20,925 23,625 27,125 29,295 34,875 48,825 81,375

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

732,375 2,197,126 1,098,563 3,295,690 1,647,845 4,943,536 2,471,768 1,235,884 617,942 308,971 926,914 463,457 1,390,372 695,186 347,593 1,042,780 521,390 260,695 782,086 391,043 1,173,130 586,565 1,759,696 879,848 439,924 219,962 109,981 329,944 164,972 82,486 41,243 123,730 61,865 185,596 92,798 46,399 139,198 69,599 208,798 104,399 313,198 156,599 469,798 234,899 704,698 352,349 1,057,048 528,524 264,262 132,131 396,394 198,197 594,592 297,296 148,648 74,324 37,162 18,581 55,744 27,872

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