3⁴ × 5 × 7² × 13

Prime Factor Structure

Factorization String 3^4 × 5 × 7^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 579,348

Proper Divisor Sum 321,363

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #257981 ← → #257987

1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 189 195 245 273 315 351 405 441 455 567 585 637 735 819 945 1,053 1,323 1,365 1,755 1,911 2,205 2,457 2,835 3,185 3,969 4,095 5,265 5,733 6,615 7,371 9,555 12,285 17,199 19,845 28,665 36,855 51,597 85,995 257,985

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

257,985 773,956 386,978 193,489 580,468 290,234 145,117 435,352 217,676 108,838 54,419 163,258 81,629 244,888 122,444 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827

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