2³ × 3 × 11 × 29 × 101

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 29 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,203,200

Proper Divisor Sum 1,429,944

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #773251 ← → #773273

1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 101 116 132 174 202 232 264 303 319 348 404 606 638 696 808 957 1,111 1,212 1,276 1,914 2,222 2,424 2,552 2,929 3,333 3,828 4,444 5,858 6,666 7,656 8,787 8,888 11,716 13,332 17,574 23,432 26,664 32,219 35,148 64,438 70,296 96,657 128,876

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

773,256 386,628 193,314 96,657 289,972 144,986 72,493 217,480 108,740 54,370 27,185 81,556 40,778 20,389 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907

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