2² × 3³ × 13 × 17²

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,203,440

Proper Divisor Sum 797,684

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #405749 ← → #405763

1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 289 306 351 442 459 468 578 612 663 702 867 884 918 1,156 1,326 1,404 1,734 1,836 1,989 2,601 2,652 3,468 3,757 3,978 5,202 5,967 7,514 7,803 7,956 10,404 11,271 11,934

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

405,756 202,878 101,439 304,318 152,159 456,478 228,239 684,718 342,359 1,027,078 513,539 1,540,618 770,309 2,310,928 1,155,464 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622 20,311 60,934 30,467 91,402 45,701 137,104 68,552 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446

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