2³ × 3² × 7² × 113

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,267,110

Proper Divisor Sum 868,446

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #398627 ← → #398669

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 113 126 147 168 196 226 252 294 339 392 441 452 504 588 678 791 882 904 1,017 1,176 1,356 1,582 1,764 2,034 2,373 2,712 3,164 3,528 4,068 4,746 5,537 6,328 7,119 8,136 9,492 11,074 14,238 16,611

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

398,664 199,332 99,666 49,833 149,500 74,750 37,375 112,126 56,063 168,190 84,095 252,286 126,143 378,430 189,215 567,646 283,823 851,470 425,735 1,277,206 638,603 1,915,810 957,905 2,873,716 1,436,858 718,429 2,155,288 1,077,644 538,822 269,411 808,234 404,117 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406 546,203

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