2 × 3³ × 5² × 23 × 239

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 23 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,427,200

Proper Divisor Sum 14,006,250

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7420943 ← → #7420951

1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 239 270 345 414 450 478 575 621 675 690 717 1,035 1,150 1,195 1,242 1,350 1,434 1,725 2,070 2,151 2,390 3,105 3,450 3,585 4,302 5,175 5,497 5,975 6,210 6,453 7,170 10,350 10,755

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

7,420,950 3,710,475 11,131,426 5,565,713 16,697,140 8,348,570 4,174,285 12,522,856 6,261,428 3,130,714 1,565,357 4,696,072 2,348,036 1,174,018 587,009 1,761,028 880,514 440,257 1,320,772 660,386 330,193 990,580 495,290 247,645 742,936 371,468 185,734 92,867 278,602 139,301 417,904 208,952 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847

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