2 × 3 × 5² × 7² × 29

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 636,120

Proper Divisor Sum 422,970

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #213149 ← → #213173

1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 49 50 58 70 75 87 98 105 145 147 150 174 175 203 210 245 290 294 350 406 435 490 525 609 725 735 870 1,015 1,050 1,218 1,225 1,421 1,450 1,470 2,030 2,175 2,450 2,842 3,045 3,675 4,263 4,350 5,075 6,090 7,105

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

213,150 106,575 319,726 159,863 479,590 239,795 719,386 359,693 1,079,080 539,540 269,770 134,885 404,656 202,328 101,164 50,582 25,291 75,874 37,937 113,812 56,906 28,453 85,360 42,680 21,340 10,670 5,335 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226

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