3 × 5⁵ × 7 × 11

Prime Factor Structure

Factorization String 3 × 5^5 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,499,904

Proper Divisor Sum 778,029

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #721859 ← → #721883

1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 625 825 875 1,155 1,375 1,875 1,925 2,625 3,125 4,125 4,375 5,775 6,875 9,375 9,625 13,125 20,625 21,875 28,875 34,375 48,125 65,625 103,125 144,375 240,625 721,875

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

721,875 2,165,626 1,082,813 3,248,440 1,624,220 812,110 406,055 1,218,166 609,083 1,827,250 913,625 2,740,876 1,370,438 685,219 2,055,658 1,027,829 3,083,488 1,541,744 770,872 385,436 192,718 96,359 289,078 144,539 433,618 216,809 650,428 325,214 162,607 487,822 243,911 731,734 365,867 1,097,602 548,801 1,646,404 823,202 411,601 1,234,804 617,402 308,701 926,104 463,052 231,526 115,763 347,290 173,645 520,936 260,468 130,234 65,117 195,352 97,676 48,838 24,419 73,258 36,629 109,888 54,944 27,472

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