3⁴ × 5 × 11 × 23

Prime Factor Structure

Factorization String 3^4 × 5 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 209,088

Proper Divisor Sum 106,623

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #102461 ← → #102481

1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 135 165 207 253 297 345 405 495 621 759 891 1,035 1,265 1,485 1,863 2,277 3,105 3,795 4,455 6,831 9,315 11,385 20,493 34,155 102,465

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

102,465 307,396 153,698 76,849 230,548 115,274 57,637 172,912 86,456 43,228 21,614 10,807 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652

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