3⁵ × 5² × 7 × 47

Prime Factor Structure

Factorization String 3^5 × 5^2 × 7 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,333,056

Proper Divisor Sum 2,334,381

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #1998643 ← → #1998679

1 3 5 7 9 15 21 25 27 35 45 47 63 75 81 105 135 141 175 189 225 235 243 315 329 405 423 525 567 675 705 945 987 1,175 1,215 1,269 1,575 1,645 1,701 2,025 2,115 2,835 2,961 3,525 3,807 4,725 4,935 6,075 6,345 8,225 8,505 8,883 10,575 11,421 14,175 14,805 19,035 24,675 26,649 31,725

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

1,998,675 5,996,026 2,998,013 8,994,040 4,497,020 2,248,510 1,124,255 3,372,766 1,686,383 5,059,150 2,529,575 7,588,726 3,794,363 11,383,090 5,691,545 17,074,636 8,537,318 4,268,659 12,805,978 6,402,989 19,208,968 9,604,484 4,802,242 2,401,121 7,203,364 3,601,682 1,800,841 5,402,524 2,701,262 1,350,631 4,051,894 2,025,947 6,077,842 3,038,921 9,116,764 4,558,382 2,279,191 6,837,574 3,418,787 10,256,362 5,128,181 15,384,544 7,692,272 3,846,136 1,923,068 961,534 480,767 1,442,302 721,151 2,163,454 1,081,727 3,245,182 1,622,591 4,867,774 2,433,887 7,301,662 3,650,831 10,952,494 5,476,247 16,428,742

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