2³ × 3² × 5² × 227

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,378,260

Proper Divisor Sum 969,660

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #408563 ← → #408607

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 227 300 360 450 454 600 681 900 908 1,135 1,362 1,800 1,816 2,043 2,270 2,724 3,405 4,086 4,540 5,448 5,675 6,810 8,172 9,080 10,215 11,350 13,620 16,344 17,025 20,430

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

408,600 204,300 102,150 51,075 153,226 76,613 229,840 114,920 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572

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