3² × 5 × 7² × 13 × 29

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,867,320

Proper Divisor Sum 1,036,035

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #831253 ← → #831287

1 3 5 7 9 13 15 21 29 35 39 45 49 63 65 87 91 105 117 145 147 195 203 245 261 273 315 377 435 441 455 585 609 637 735 819 1,015 1,131 1,305 1,365 1,421 1,827 1,885 1,911 2,205 2,639 3,045 3,185 3,393 4,095 4,263 5,655 5,733 7,105 7,917 9,135 9,555 12,789 13,195 16,965

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

831,285 2,493,856 1,246,928 623,464 311,732 155,866 77,933 233,800 116,900 58,450 29,225 87,676 43,838 21,919 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631 280,894 140,447 421,342 210,671 632,014 316,007 948,022 474,011 1,422,034 711,017 2,133,052 1,066,526 533,263 1,599,790 799,895 2,399,686 1,199,843 3,599,530 1,799,765 5,399,296 2,699,648 1,349,824 674,912 337,456 168,728 84,364 42,182 21,091 63,274 31,637

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