3 × 5² × 7² × 109

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 777,480

Proper Divisor Sum 376,905

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #400559 ← → #400579

1 3 5 7 15 21 25 35 49 75 105 109 147 175 245 327 525 545 735 763 1,225 1,635 2,289 2,725 3,675 3,815 5,341 8,175 11,445 16,023 19,075 26,705 57,225 80,115 133,525 400,575

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

400,575 1,201,726 600,863 1,802,590 901,295 2,703,886 1,351,943 4,055,830 2,027,915 6,083,746 3,041,873 9,125,620 4,562,810 2,281,405 6,844,216 3,422,108 1,711,054 855,527 2,566,582 1,283,291 3,849,874 1,924,937 5,774,812 2,887,406 1,443,703 4,331,110 2,165,555 6,496,666 3,248,333 9,745,000 4,872,500 2,436,250 1,218,125 3,654,376 1,827,188 913,594 456,797 1,370,392 685,196 342,598 171,299 513,898 256,949 770,848 385,424 192,712 96,356 48,178 24,089 72,268 36,134 18,067 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245

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