3³ × 7² × 17 × 19

Prime Factor Structure

Factorization String 3^3 × 7^2 × 17 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 820,800

Proper Divisor Sum 393,471

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #427327 ← → #427333

1 3 7 9 17 19 21 27 49 51 57 63 119 133 147 153 171 189 323 357 399 441 459 513 833 931 969 1,071 1,197 1,323 2,261 2,499 2,793 2,907 3,213 3,591 6,783 7,497 8,379 8,721 15,827 20,349 22,491 25,137 47,481 61,047 142,443 427,329

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

427,329 1,281,988 640,994 320,497 961,492 480,746 240,373 721,120 360,560 180,280 90,140 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 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

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