2⁷ × 3³ × 199

Prime Factor Structure

Factorization String 2^7 × 3^3 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,040,000

Proper Divisor Sum 1,352,256

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #687737 ← → #687749

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 199 216 288 384 398 432 576 597 796 864 1,152 1,194 1,592 1,728 1,791 2,388 3,184 3,456 3,582 4,776 5,373 6,368 7,164 9,552 10,746 12,736 14,328 19,104 21,492 25,472 28,656 38,208 42,984 57,312 76,416 85,968 114,624

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

687,744 343,872 171,936 85,968 42,984 21,492 10,746 5,373 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 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

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