2³ × 3³ × 29 × 71

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,296,000

Proper Divisor Sum 851,256

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #444739 ← → #444767

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 71 72 87 108 116 142 174 213 216 232 261 284 348 426 522 568 639 696 783 852 1,044 1,278 1,566 1,704 1,917 2,059 2,088 2,556 3,132 3,834 4,118 5,112 6,177 6,264 7,668 8,236 12,354 15,336 16,472 18,531 24,708 37,062 49,416 55,593 74,124

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

444,744 222,372 111,186 55,593 166,780 83,390 41,695 125,086 62,543 187,630 93,815 281,446 140,723 422,170 211,085 633,256 316,628 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 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

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