2 × 3 × 5 × 13 × 31

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 32,256

Proper Divisor Sum 20,166

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #12073 ← → #12097

1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1,209 2,015 2,418 4,030 6,045 12,090

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

12,090 6,045 18,136 9,068 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 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768

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