2³ × 5² × 7 × 79 × 293

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 79 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 87,494,400

Proper Divisor Sum 55,088,600

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #32405783 ← → #32405803

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 140 158 175 200 280 293 316 350 395 553 586 632 700 790 1,106 1,172 1,400 1,465 1,580 1,975 2,051 2,212 2,344 2,765 2,930 3,160 3,950 4,102 4,424 5,530 5,860 7,325 7,900 8,204 10,255 11,060 11,720 13,825 14,650 15,800 16,408 20,510

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

32,405,800 16,202,900 8,101,450 4,050,725 12,152,176 6,076,088 3,038,044 1,519,022 759,511 2,278,534 1,139,267 3,417,802 1,708,901 5,126,704 2,563,352 1,281,676 640,838 320,419 961,258 480,629 1,441,888 720,944 360,472 180,236 90,118 45,059 135,178 67,589 202,768 101,384 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161

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