2⁴ × 3² × 5 × 53

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 130,572

Proper Divisor Sum 92,412

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #38153 ← → #38167

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1,060 1,272 1,590 1,908 2,120 2,385 2,544 3,180 3,816 4,240 4,770 6,360 7,632 9,540 12,720 19,080 38,160

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

38,160 19,080 9,540 4,770 2,385 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747

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