3⁴ × 5 × 13 × 19

Prime Factor Structure

Factorization String 3^4 × 5 × 13 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 203,280

Proper Divisor Sum 103,245

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #100019 ← → #100043

1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1,053 1,235 1,539 1,755 2,223 2,565 3,705 5,265 6,669 7,695 11,115 20,007 33,345 100,035

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

100,035 300,106 150,053 450,160 225,080 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814

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