3 × 7 × 19 × 29 × 37

Prime Factor Structure

Factorization String 3 × 7 × 19 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 729,600

Proper Divisor Sum 301,473

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #428093 ← → #428137

1 3 7 19 21 29 37 57 87 111 133 203 259 399 551 609 703 777 1,073 1,653 2,109 3,219 3,857 4,921 7,511 11,571 14,763 20,387 22,533 61,161 142,709 428,127

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

428,127 1,284,382 642,191 1,926,574 963,287 2,889,862 1,444,931 4,334,794 2,167,397 6,502,192 3,251,096 1,625,548 812,774 406,387 1,219,162 609,581 1,828,744 914,372 457,186 228,593 685,780 342,890 171,445 514,336 257,168 128,584 64,292 32,146 16,073 48,220 24,110 12,055 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301

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