3⁴ × 5 × 7 × 11 × 13

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 975,744

Proper Divisor Sum 570,339

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #405401 ← → #405407

1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 81 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 405 429 455 495 567 585 693 715 819 891 945 1,001 1,053 1,155 1,287 1,365 1,485 1,755 2,079 2,145 2,457 2,835 3,003 3,465 3,861 4,095

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

405,405 1,216,216 608,108 304,054 152,027 456,082 228,041 684,124 342,062 171,031 513,094 256,547 769,642 384,821 1,154,464 577,232 288,616 144,308 72,154 36,077 108,232 54,116 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2

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