2 × 3 × 7 × 53 × 193

Prime Factor Structure

Factorization String 2 × 3 × 7 × 53 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,005,696

Proper Divisor Sum 576,078

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #429599 ← → #429631

1 2 3 6 7 14 21 42 53 106 159 193 318 371 386 579 742 1,113 1,158 1,351 2,226 2,702 4,053 8,106 10,229 20,458 30,687 61,374 71,603 143,206 214,809 429,618

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

429,618 214,809 644,428 322,214 161,107 483,322 241,661 724,984 362,492 181,246 90,623 271,870 135,935 407,806 203,903 611,710 305,855 917,566 458,783 1,376,350 688,175 2,064,526 1,032,263 3,096,790 1,548,395 4,645,186 2,322,593 6,967,780 3,483,890 1,741,945 5,225,836 2,612,918 1,306,459 3,919,378 1,959,689 5,879,068 2,939,534 1,469,767 4,409,302 2,204,651 6,613,954 3,306,977 9,920,932 4,960,466 2,480,233 7,440,700 3,720,350 1,860,175 5,580,526 2,790,263 8,370,790 4,185,395 12,556,186 6,278,093 18,834,280 9,417,140 4,708,570 2,354,285 7,062,856 3,531,428

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