2⁵ × 5² × 7 × 821

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,842,928

Proper Divisor Sum 8,245,328

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4597597 ← → #4597609

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 821 1,120 1,400 1,642 2,800 3,284 4,105 5,600 5,747 6,568 8,210 11,494 13,136 16,420 20,525 22,988 26,272 28,735 32,840 41,050 45,976 57,470 65,680 82,100 91,952 114,940 131,360 143,675

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

4,597,600 2,298,800 1,149,400 574,700 287,350 143,675 431,026 215,513 646,540 323,270 161,635 484,906 242,453 727,360 363,680 181,840 90,920 45,460 22,730 11,365 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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