2² × 3⁵ × 17 × 31

Prime Factor Structure

Factorization String 2^2 × 3^5 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,467,648

Proper Divisor Sum 955,404

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #512207 ← → #512249

1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 243 279 306 324 372 459 486 527 558 612 837 918 972 1,054 1,116 1,377 1,581 1,674 1,836 2,108 2,511 2,754 3,162 3,348 4,131 4,743 5,022 5,508 6,324 7,533 8,262 9,486 10,044 14,229

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

512,244 256,122 128,061 384,184 192,092 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280

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