3 × 7 × 11 × 41 × 43

Prime Factor Structure

Factorization String 3 × 7 × 11 × 41 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 709,632

Proper Divisor Sum 302,379

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #407249 ← → #407257

1 3 7 11 21 33 41 43 77 123 129 231 287 301 451 473 861 903 1,353 1,419 1,763 3,157 3,311 5,289 9,471 9,933 12,341 19,393 37,023 58,179 135,751 407,253

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

407,253 1,221,760 610,880 305,440 152,720 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

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