2⁵ × 3 × 7 × 29²

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 29^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,755,936

Proper Divisor Sum 1,190,784

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #565127 ← → #565163

1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 841 928 1,218 1,392 1,624 1,682 2,436 2,523 2,784 3,248 3,364 4,872 5,046 5,887 6,496 6,728 9,744 10,092 11,774 13,456 17,661 19,488 20,184

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

565,152 282,576 141,288 70,644 35,322 17,661 52,984 26,492 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598

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