2 × 3⁸ × 5 × 7

Prime Factor Structure

Factorization String 2 × 3^8 × 5 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,417,104

Proper Divisor Sum 957,834

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #459257 ← → #459271

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1,134 1,215 1,458 1,701 1,890 2,187 2,430 2,835 3,402 3,645 4,374 5,103 5,670 6,561 7,290 8,505 10,206 10,935 13,122 15,309 17,010

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

459,270 229,635 688,906 344,453 1,033,360 516,680 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479

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