2³ × 7 × 11 × 17 × 71

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 17 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,866,240

Proper Divisor Sum 1,122,728

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #743507 ← → #743549

1 2 4 7 8 11 14 17 22 28 34 44 56 68 71 77 88 119 136 142 154 187 238 284 308 374 476 497 568 616 748 781 952 994 1,207 1,309 1,496 1,562 1,988 2,414 2,618 3,124 3,976 4,828 5,236 5,467 6,248 8,449 9,656 10,472 10,934 13,277 16,898 21,868 26,554 33,796 43,736 53,108 67,592 92,939

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

743,512 371,756 185,878 92,939 278,818 139,409 418,228 209,114 104,557 313,672 156,836 78,418 39,209 117,628 58,814 29,407 88,222 44,111 132,334 66,167 198,502 99,251 297,754 148,877 446,632 223,316 111,658 55,829 167,488 83,744 41,872 20,936 10,468 5,234 2,617 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724

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