2⁵ × 3³ × 23 × 151

Prime Factor Structure

Factorization String 2^5 × 3^3 × 23 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,192,960

Proper Divisor Sum 6,192,288

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3000671 ← → #3000677

1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 151 184 207 216 276 288 302 368 414 432 453 552 604 621 736 828 864 906 1,104 1,208 1,242 1,359 1,656 1,812 2,208 2,416 2,484 2,718 3,312 3,473 3,624 4,077 4,832 4,968 5,436

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

3,000,672 1,500,336 750,168 375,084 187,542 93,771 281,314 140,657 421,972 210,986 105,493 316,480 158,240 79,120 39,560 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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