2 × 3 × 7 × 13² × 59

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13^2 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,054,080

Proper Divisor Sum 635,298

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #418771 ← → #418783

1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 169 177 182 273 338 354 413 507 546 767 826 1,014 1,183 1,239 1,534 2,301 2,366 2,478 3,549 4,602 5,369 7,098 9,971 10,738 16,107 19,942 29,913 32,214 59,826 69,797 139,594 209,391 418,782

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

418,782 209,391 628,174 314,087 942,262 471,131 1,413,394 706,697 2,120,092 1,060,046 530,023 1,590,070 795,035 2,385,106 1,192,553 3,577,660 1,788,830 894,415 2,683,246 1,341,623 4,024,870 2,012,435 6,037,306 3,018,653 9,055,960 4,527,980 2,263,990 1,131,995 3,395,986 1,697,993 5,093,980 2,546,990 1,273,495 3,820,486 1,910,243 5,730,730 2,865,365 8,596,096 4,298,048 2,149,024 1,074,512 537,256 268,628 134,314 67,157 201,472 100,736 50,368 25,184 12,592 6,296 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443

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