3⁴ × 5 × 11² × 13

Prime Factor Structure

Factorization String 3^4 × 5 × 11^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,351,812

Proper Divisor Sum 714,747

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #637003 ← → #637067

1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 121 135 143 165 195 297 351 363 405 429 495 585 605 715 891 1,053 1,089 1,287 1,485 1,573 1,755 1,815 2,145 3,267 3,861 4,455 4,719 5,265 5,445 6,435 7,865 9,801 11,583 14,157 16,335 19,305 23,595 42,471 49,005 57,915 70,785 127,413 212,355 637,065

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

637,065 1,911,196 955,598 477,799 1,433,398 716,699 2,150,098 1,075,049 3,225,148 1,612,574 806,287 2,418,862 1,209,431 3,628,294 1,814,147 5,442,442 2,721,221 8,163,664 4,081,832 2,040,916 1,020,458 510,229 1,530,688 765,344 382,672 191,336 95,668 47,834 23,917 71,752 35,876 17,938 8,969 26,908 13,454 6,727 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043

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