3³ × 5 × 11² × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 446,880

Proper Divisor Sum 234,525

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #212353 ← → #212369

1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 121 135 143 165 195 297 351 363 429 495 585 605 715 1,089 1,287 1,485 1,573 1,755 1,815 2,145 3,267 3,861 4,719 5,445 6,435 7,865 14,157 16,335 19,305 23,595 42,471 70,785 212,355

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

212,355 637,066 318,533 955,600 477,800 238,900 119,450 59,725 179,176 89,588 44,794 22,397 67,192 33,596 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38

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