2 × 3⁴ × 5 × 31 × 1279

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 31 × 1279

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 89,210,880

Proper Divisor Sum 57,095,190

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #32115679 ← → #32115697

1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1,279 1,395 1,674 2,511 2,558 2,790 3,837 4,185 5,022 6,395 7,674 8,370 11,511 12,555 12,790 19,185 23,022 25,110 34,533 38,370 39,649 57,555 69,066 79,298 103,599 115,110 118,947 172,665 198,245

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

32,115,690 16,057,845 48,173,536 24,086,768 12,043,384 6,021,692 3,010,846 1,505,423 4,516,270 2,258,135 6,774,406 3,387,203 10,161,610 5,080,805 15,242,416 7,621,208 3,810,604 1,905,302 952,651 2,857,954 1,428,977 4,286,932 2,143,466 1,071,733 3,215,200 1,607,600 803,800 401,900 200,950 100,475 301,426 150,713 452,140 226,070 113,035 339,106 169,553 508,660 254,330 127,165 381,496 190,748 95,374 47,687 143,062 71,531 214,594 107,297 321,892 160,946 80,473 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950

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