3³ × 5³ × 101

Prime Factor Structure

Factorization String 3^3 × 5^3 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 636,480

Proper Divisor Sum 295,605

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #340859 ← → #340877

1 3 5 9 15 25 27 45 75 101 125 135 225 303 375 505 675 909 1,125 1,515 2,525 2,727 3,375 4,545 7,575 12,625 13,635 22,725 37,875 68,175 113,625 340,875

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

340,875 1,022,626 511,313 1,533,940 766,970 383,485 1,150,456 575,228 287,614 143,807 431,422 215,711 647,134 323,567 970,702 485,351 1,456,054 728,027 2,184,082 1,092,041 3,276,124 1,638,062 819,031 2,457,094 1,228,547 3,685,642 1,842,821 5,528,464 2,764,232 1,382,116 691,058 345,529 1,036,588 518,294 259,147 777,442 388,721 1,166,164 583,082 291,541 874,624 437,312 218,656 109,328 54,664 27,332 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164

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