3 × 7² × 5209

Prime Factor Structure

Factorization String 3 × 7^2 × 5209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,187,880

Proper Divisor Sum 422,157

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #765707 ← → #765727

1 3 7 21 49 147 5,209 15,627 36,463 109,389 255,241 765,723

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

765,723 2,297,170 1,148,585 3,445,756 1,722,878 861,439 2,584,318 1,292,159 3,876,478 1,938,239 5,814,718 2,907,359 8,722,078 4,361,039 13,083,118 6,541,559 19,624,678 9,812,339 29,437,018 14,718,509 44,155,528 22,077,764 11,038,882 5,519,441 16,558,324 8,279,162 4,139,581 12,418,744 6,209,372 3,104,686 1,552,343 4,657,030 2,328,515 6,985,546 3,492,773 10,478,320 5,239,160 2,619,580 1,309,790 654,895 1,964,686 982,343 2,947,030 1,473,515 4,420,546 2,210,273 6,630,820 3,315,410 1,657,705 4,973,116 2,486,558 1,243,279 3,729,838 1,864,919 5,594,758 2,797,379 8,392,138 4,196,069 12,588,208 6,294,104

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