2⁴ × 3 × 13 × 17 × 419

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 17 × 419

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 13,124,160

Proper Divisor Sum 8,679,408

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4444747 ← → #4444753

1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 419 442 624 663 816 838 884 1,257 1,326 1,676 1,768 2,514 2,652 3,352 3,536 5,028 5,304 5,447 6,704 7,123 10,056 10,608 10,894 14,246 16,341 20,112 21,369 21,788 28,492 32,682 42,738

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

4,444,752 2,222,376 1,111,188 555,594 277,797 833,392 416,696 208,348 104,174 52,087 156,262 78,131 234,394 117,197 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702

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