2³ × 7 × 11 × 23 × 29

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,036,800

Proper Divisor Sum 625,928

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #410857 ← → #410899

1 2 4 7 8 11 14 22 23 28 29 44 46 56 58 77 88 92 116 154 161 184 203 232 253 308 319 322 406 506 616 638 644 667 812 1,012 1,276 1,288 1,334 1,624 1,771 2,024 2,233 2,552 2,668 3,542 4,466 4,669 5,336 7,084 7,337 8,932 9,338 14,168 14,674 17,864 18,676 29,348 37,352 51,359

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

410,872 205,436 102,718 51,359 154,078 77,039 231,118 115,559 346,678 173,339 520,018 260,009 780,028 390,014 195,007 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133 2,001,400 1,000,700 500,350 250,175 750,526 375,263 1,125,790 562,895

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