2³ × 11² × 19 × 23 × 73

Prime Factor Structure

Factorization String 2^3 × 11^2 × 19 × 23 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 70,862,400

Proper Divisor Sum 39,982,232

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #30880159 ← → #30880169

1 2 4 8 11 19 22 23 38 44 46 73 76 88 92 121 146 152 184 209 242 253 292 418 437 484 506 584 803 836 874 968 1,012 1,387 1,606 1,672 1,679 1,748 2,024 2,299 2,774 2,783 3,212 3,358 3,496 4,598 4,807 5,548 5,566 6,424 6,716 8,833 9,196 9,614 11,096 11,132 13,432 15,257 17,666 18,392

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

30,880,168 15,440,084 7,720,042 3,860,021 11,580,064 5,790,032 2,895,016 1,447,508 723,754 361,877 1,085,632 542,816 271,408 135,704 67,852 33,926 16,963 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 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

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