3 × 5 × 7² × 11 × 47

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 787,968

Proper Divisor Sum 407,973

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #379993 ← → #379997

1 3 5 7 11 15 21 33 35 47 49 55 77 105 141 147 165 231 235 245 329 385 517 539 705 735 987 1,155 1,551 1,617 1,645 2,303 2,585 2,695 3,619 4,935 6,909 7,755 8,085 10,857 11,515 18,095 25,333 34,545 54,285 75,999 126,665 379,995

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

379,995 1,139,986 569,993 1,709,980 854,990 427,495 1,282,486 641,243 1,923,730 961,865 2,885,596 1,442,798 721,399 2,164,198 1,082,099 3,246,298 1,623,149 4,869,448 2,434,724 1,217,362 608,681 1,826,044 913,022 456,511 1,369,534 684,767 2,054,302 1,027,151 3,081,454 1,540,727 4,622,182 2,311,091 6,933,274 3,466,637 10,399,912 5,199,956 2,599,978 1,299,989 3,899,968 1,949,984 974,992 487,496 243,748 121,874 60,937 182,812 91,406 45,703 137,110 68,555 205,666 102,833 308,500 154,250 77,125 231,376 115,688 57,844 28,922 14,461

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