2⁵ × 5 × 13² × 17

Prime Factor Structure

Factorization String 2^5 × 5 × 13^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,245,132

Proper Divisor Sum 785,452

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #459677 ← → #459691

1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 169 170 208 221 260 272 338 340 416 442 520 544 676 680 845 884 1,040 1,105 1,352 1,360 1,690 1,768 2,080 2,210 2,704 2,720 2,873 3,380 3,536 4,420 5,408 5,746 6,760 7,072 8,840 11,492 13,520

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

459,680 229,840 114,920 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920

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