3³ × 5² × 29

Prime Factor Structure

Factorization String 3^3 × 5^2 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 37,200

Proper Divisor Sum 17,625

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #19571 ← → #19577

1 3 5 9 15 25 27 29 45 75 87 135 145 225 261 435 675 725 783 1,305 2,175 3,915 6,525 19,575

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

19,575 58,726 29,363 88,090 44,045 132,136 66,068 33,034 16,517 49,552 24,776 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 47,749 143,248 71,624 35,812 17,906 8,953 26,860

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