2 × 3⁴ × 7 × 13 × 31

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,300,992

Proper Divisor Sum 843,990

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #457001 ← → #457003

1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 273 279 351 378 403 434 546 558 567 651 702 806 819 837 1,053 1,134 1,209 1,302 1,638 1,674 1,953 2,106 2,418 2,457 2,511 2,821 3,627 3,906 4,914 5,022

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

457,002 228,501 685,504 342,752 171,376 85,688 42,844 21,422 10,711 32,134 16,067 48,202 24,101 72,304 36,152 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

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