2³ × 3⁷ × 29

Prime Factor Structure

Factorization String 2^3 × 3^7 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,476,000

Proper Divisor Sum 968,616

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #507383 ← → #507401

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 729 783 972 1,044 1,458 1,566 1,944 2,088 2,187 2,349 2,916 3,132 4,374 4,698 5,832 6,264 7,047 8,748 9,396 14,094 17,496 18,792 21,141 28,188 42,282 56,376 63,423 84,564

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

507,384 253,692 126,846 63,423 190,270 95,135 285,406 142,703 428,110 214,055 642,166 321,083 963,250 481,625 1,444,876 722,438 361,219 1,083,658 541,829 1,625,488 812,744 406,372 203,186 101,593 304,780 152,390 76,195 228,586 114,293 342,880 171,440 85,720 42,860 21,430 10,715 32,146 16,073 48,220 24,110 12,055 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318

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