3³ × 5³ × 7⁴

Prime Factor Structure

Factorization String 3^3 × 5^3 × 7^4

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 17,478,240

Proper Divisor Sum 9,374,865

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8103353 ← → #8103391

1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 125 135 147 175 189 225 245 315 343 375 441 525 675 735 875 945 1,029 1,125 1,225 1,323 1,575 1,715 2,205 2,401 2,625 3,087 3,375 3,675 4,725 5,145 6,125 6,615 7,203 7,875 8,575 9,261 11,025 12,005 15,435 18,375 21,609 23,625 25,725 33,075 36,015

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

8,103,375 24,310,126 12,155,063 36,465,190 18,232,595 54,697,786 27,348,893 82,046,680 41,023,340 20,511,670 10,255,835 30,767,506 15,383,753 46,151,260 23,075,630 11,537,815 34,613,446 17,306,723 51,920,170 25,960,085 77,880,256 38,940,128 19,470,064 9,735,032 4,867,516 2,433,758 1,216,879 3,650,638 1,825,319 5,475,958 2,737,979 8,213,938 4,106,969 12,320,908 6,160,454 3,080,227 9,240,682 4,620,341 13,861,024 6,930,512 3,465,256 1,732,628 866,314 433,157 1,299,472 649,736 324,868 162,434 81,217 243,652 121,826 60,913 182,740 91,370 45,685 137,056 68,528 34,264 17,132 8,566

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