2 × 3³ × 13 × 19 × 31

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 19 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,075,200

Proper Divisor Sum 661,722

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #413477 ← → #413521

1 2 3 6 9 13 18 19 26 27 31 38 39 54 57 62 78 93 114 117 171 186 234 247 279 342 351 403 494 513 558 589 702 741 806 837 1,026 1,178 1,209 1,482 1,674 1,767 2,223 2,418 3,534 3,627 4,446 5,301 6,669 7,254 7,657 10,602 10,881 13,338 15,314 15,903 21,762 22,971 31,806 45,942

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

413,478 206,739 620,218 310,109 930,328 465,164 232,582 116,291 348,874 174,437 523,312 261,656 130,828 65,414 32,707 98,122 49,061 147,184 73,592 36,796 18,398 9,199 27,598 13,799 41,398 20,699 62,098 31,049 93,148 46,574 23,287 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626

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