2⁵ × 3² × 5 × 313

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,542,996

Proper Divisor Sum 1,092,276

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #450719 ← → #450727

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 313 360 480 626 720 939 1,252 1,440 1,565 1,878 2,504 2,817 3,130 3,756 4,695 5,008 5,634 6,260 7,512 9,390 10,016 11,268 12,520 14,085 15,024 18,780 22,536 25,040

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

450,720 225,360 112,680 56,340 28,170 14,085 42,256 21,128 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478

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