2² × 3 × 7² × 31 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 31 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,145,024

Proper Divisor Sum 1,397,676

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #747343 ← → #747361

1 2 3 4 6 7 12 14 21 28 31 41 42 49 62 82 84 93 98 123 124 147 164 186 196 217 246 287 294 372 434 492 574 588 651 861 868 1,148 1,271 1,302 1,519 1,722 2,009 2,542 2,604 3,038 3,444 3,813 4,018 4,557 5,084 6,027 6,076 7,626 8,036 8,897 9,114 12,054 15,252 17,794

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

747,348 373,674 186,837 560,512 280,256 140,128 70,064 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750

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