3³ × 5 × 7 × 13 × 47

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,290,240

Proper Divisor Sum 712,845

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #577387 ← → #577397

1 3 5 7 9 13 15 21 27 35 39 45 47 63 65 91 105 117 135 141 189 195 235 273 315 329 351 423 455 585 611 705 819 945 987 1,269 1,365 1,645 1,755 1,833 2,115 2,457 2,961 3,055 4,095 4,277 4,935 5,499 6,345 8,883 9,165 12,285 12,831 14,805 16,497 21,385 27,495 38,493 44,415 64,155

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

577,395 1,732,186 866,093 2,598,280 1,299,140 649,570 324,785 974,356 487,178 243,589 730,768 365,384 182,692 91,346 45,673 137,020 68,510 34,255 102,766 51,383 154,150 77,075 231,226 115,613 346,840 173,420 86,710 43,355 130,066 65,033 195,100 97,550 48,775 146,326 73,163 219,490 109,745 329,236 164,618 82,309 246,928 123,464 61,732 30,866 15,433 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977

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