2⁴ × 7 × 11 × 13 × 43

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 13 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,833,216

Proper Divisor Sum 1,144,528

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #688679 ← → #688697

1 2 4 7 8 11 13 14 16 22 26 28 43 44 52 56 77 86 88 91 104 112 143 154 172 176 182 208 286 301 308 344 364 473 559 572 602 616 688 728 946 1,001 1,118 1,144 1,204 1,232 1,456 1,892 2,002 2,236 2,288 2,408 3,311 3,784 3,913 4,004 4,472 4,816 6,149 6,622

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

688,688 344,344 172,172 86,086 43,043 129,130 64,565 193,696 96,848 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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