2³ × 3² × 7² × 89

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,000,350

Proper Divisor Sum 686,358

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #313991 ← → #313993

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 89 98 126 147 168 178 196 252 267 294 356 392 441 504 534 588 623 712 801 882 1,068 1,176 1,246 1,602 1,764 1,869 2,136 2,492 3,204 3,528 3,738 4,361 4,984 5,607 6,408 7,476 8,722 11,214 13,083

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

313,992 156,996 78,498 39,249 117,748 58,874 29,437 88,312 44,156 22,078 11,039 33,118 16,559 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710

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