3³ × 5 × 7² × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 191,520

Proper Divisor Sum 105,525

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #85991 ← → #85999

1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 91 105 117 135 147 189 195 245 273 315 351 441 455 585 637 735 819 945 1,323 1,365 1,755 1,911 2,205 2,457 3,185 4,095 5,733 6,615 9,555 12,285 17,199 28,665 85,995

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

85,995 257,986 128,993 386,980 193,490 96,745 290,236 145,118 72,559 217,678 108,839 326,518 163,259 489,778 244,889 734,668 367,334 183,667 551,002 275,501 826,504 413,252 206,626 103,313 309,940 154,970 77,485 232,456 116,228 58,114 29,057 87,172 43,586 21,793 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280

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