2 × 3² × 5 × 17 × 257

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,086,696

Proper Divisor Sum 693,486

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #393209 ← → #393241

1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 257 306 510 514 765 771 1,285 1,530 1,542 2,313 2,570 3,855 4,369 4,626 7,710 8,738 11,565 13,107 21,845 23,130 26,214 39,321 43,690 65,535 78,642 131,070 196,605 393,210

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

393,210 196,605 589,816 294,908 147,454 73,727 221,182 110,591 331,774 165,887 497,662 248,831 746,494 373,247 1,119,742 559,871 1,679,614 839,807 2,519,422 1,259,711 3,779,134 1,889,567 5,668,702 2,834,351 8,503,054 4,251,527 12,754,582 6,377,291 19,131,874 9,565,937 28,697,812 14,348,906 7,174,453 21,523,360 10,761,680 5,380,840 2,690,420 1,345,210 672,605 2,017,816 1,008,908 504,454 252,227 756,682 378,341 1,135,024 567,512 283,756 141,878 70,939 212,818 106,409 319,228 159,614 79,807 239,422 119,711 359,134 179,567 538,702

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