2⁵ × 5 × 7 × 31 × 829

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 31 × 829

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 80,317,440

Proper Divisor Sum 51,534,560

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #28782863 ← → #28782883

1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 829 868 992 1,085 1,120 1,240 1,658 1,736 2,170 2,480 3,316 3,472 4,145 4,340 4,960 5,803 6,632 6,944 8,290 8,680 11,606 13,264 16,580 17,360 23,212 25,699 26,528

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

28,782,880 14,391,440 7,195,720 3,597,860 1,798,930 899,465 2,698,396 1,349,198 674,599 2,023,798 1,011,899 3,035,698 1,517,849 4,553,548 2,276,774 1,138,387 3,415,162 1,707,581 5,122,744 2,561,372 1,280,686 640,343 1,921,030 960,515 2,881,546 1,440,773 4,322,320 2,161,160 1,080,580 540,290 270,145 810,436 405,218 202,609 607,828 303,914 151,957 455,872 227,936 113,968 56,984 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436

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