3 × 5 × 7³ × 89

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 864,000

Proper Divisor Sum 406,095

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #457903 ← → #457913

1 3 5 7 15 21 35 49 89 105 147 245 267 343 445 623 735 1,029 1,335 1,715 1,869 3,115 4,361 5,145 9,345 13,083 21,805 30,527 65,415 91,581 152,635 457,905

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

457,905 1,373,716 686,858 343,429 1,030,288 515,144 257,572 128,786 64,393 193,180 96,590 48,295 144,886 72,443 217,330 108,665 325,996 162,998 81,499 244,498 122,249 366,748 183,374 91,687 275,062 137,531 412,594 206,297 618,892 309,446 154,723 464,170 232,085 696,256 348,128 174,064 87,032 43,516 21,758 10,879 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566

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