2⁵ × 5 × 17 × 37 × 827

Prime Factor Structure

Factorization String 2^5 × 5 × 17 × 37 × 827

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 214,081,056

Proper Divisor Sum 130,851,776

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #83229259 ← → #83229299

1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 544 592 629 680 740 827 1,184 1,258 1,360 1,480 1,654 2,516 2,720 2,960 3,145 3,308 4,135 5,032 5,920 6,290 6,616 8,270 10,064 12,580 13,232 14,059 16,540 20,128 25,160 26,464 28,118 30,599 33,080 50,320

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

83,229,280 41,614,640 20,807,320 10,403,660 5,201,830 2,600,915 7,802,746 3,901,373 11,704,120 5,852,060 2,926,030 1,463,015 4,389,046 2,194,523 6,583,570 3,291,785 9,875,356 4,937,678 2,468,839 7,406,518 3,703,259 11,109,778 5,554,889 16,664,668 8,332,334 4,166,167 12,498,502 6,249,251 18,747,754 9,373,877 28,121,632 14,060,816 7,030,408 3,515,204 1,757,602 878,801 2,636,404 1,318,202 659,101 1,977,304 988,652 494,326 247,163 741,490 370,745 1,112,236 556,118 278,059 834,178 417,089 1,251,268 625,634 312,817 938,452 469,226 234,613 703,840 351,920 175,960 87,980

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