3 × 5 × 7 × 11 × 19²

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 877,824

Proper Divisor Sum 460,869

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #416947 ← → #416957

1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 361 385 399 627 665 1,045 1,083 1,155 1,463 1,805 1,995 2,527 3,135 3,971 4,389 5,415 7,315 7,581 11,913 12,635 19,855 21,945 27,797 37,905 59,565 83,391 138,985 416,955

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

416,955 1,250,866 625,433 1,876,300 938,150 469,075 1,407,226 703,613 2,110,840 1,055,420 527,710 263,855 791,566 395,783 1,187,350 593,675 1,781,026 890,513 2,671,540 1,335,770 667,885 2,003,656 1,001,828 500,914 250,457 751,372 375,686 187,843 563,530 281,765 845,296 422,648 211,324 105,662 52,831 158,494 79,247 237,742 118,871 356,614 178,307 534,922 267,461 802,384 401,192 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869

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