3 × 5² × 7 × 11 × 29 × 43

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 11 × 29 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,713,280

Proper Divisor Sum 8,511,855

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7201423 ← → #7201427

1 3 5 7 11 15 21 25 29 33 35 43 55 75 77 87 105 129 145 165 175 203 215 231 275 301 319 385 435 473 525 609 645 725 825 903 957 1,015 1,075 1,155 1,247 1,419 1,505 1,595 1,925 2,175 2,233 2,365 3,045 3,225 3,311 3,741 4,515 4,785 5,075 5,775 6,235 6,699 7,095 7,525

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

7,201,425 21,604,276 10,802,138 5,401,069 16,203,208 8,101,604 4,050,802 2,025,401 6,076,204 3,038,102 1,519,051 4,557,154 2,278,577 6,835,732 3,417,866 1,708,933 5,126,800 2,563,400 1,281,700 640,850 320,425 961,276 480,638 240,319 720,958 360,479 1,081,438 540,719 1,622,158 811,079 2,433,238 1,216,619 3,649,858 1,824,929 5,474,788 2,737,394 1,368,697 4,106,092 2,053,046 1,026,523 3,079,570 1,539,785 4,619,356 2,309,678 1,154,839 3,464,518 1,732,259 5,196,778 2,598,389 7,795,168 3,897,584 1,948,792 974,396 487,198 243,599 730,798 365,399 1,096,198 548,099 1,644,298

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