3 × 13 × 23 × 509

Prime Factor Structure

Factorization String 3 × 13 × 23 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 685,440

Proper Divisor Sum 228,867

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #456571 ← → #456581

1 3 13 23 39 69 299 509 897 1,527 6,617 11,707 19,851 35,121 152,191 456,573

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

456,573 1,369,720 684,860 342,430 171,215 513,646 256,823 770,470 385,235 1,155,706 577,853 1,733,560 866,780 433,390 216,695 650,086 325,043 975,130 487,565 1,462,696 731,348 365,674 182,837 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

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