2 × 3³ × 11 × 19 × 37

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 19 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,094,400

Proper Divisor Sum 676,818

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #417581 ← → #417583

1 2 3 6 9 11 18 19 22 27 33 37 38 54 57 66 74 99 111 114 171 198 209 222 297 333 342 407 418 513 594 627 666 703 814 999 1,026 1,221 1,254 1,406 1,881 1,998 2,109 2,442 3,663 3,762 4,218 5,643 6,327 7,326 7,733 10,989 11,286 12,654 15,466 18,981 21,978 23,199 37,962 46,398

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

417,582 208,791 626,374 313,187 939,562 469,781 1,409,344 704,672 352,336 176,168 88,084 44,042 22,021 66,064 33,032 16,516 8,258 4,129 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498

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