3⁴ × 5³ × 7 × 137

Prime Factor Structure

Factorization String 3^4 × 5^3 × 7 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,839,104

Proper Divisor Sum 11,129,229

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9709859 ← → #9709891

1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 137 175 189 225 315 375 405 411 525 567 675 685 875 945 959 1,125 1,233 1,575 2,025 2,055 2,625 2,835 2,877 3,375 3,425 3,699 4,725 4,795 6,165 7,875 8,631 10,125 10,275 11,097 14,175 14,385 17,125 18,495 23,625 23,975 25,893 30,825 43,155

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

9,709,875 29,129,626 14,564,813 43,694,440 21,847,220 10,923,610 5,461,805 16,385,416 8,192,708 4,096,354 2,048,177 6,144,532 3,072,266 1,536,133 4,608,400 2,304,200 1,152,100 576,050 288,025 864,076 432,038 216,019 648,058 324,029 972,088 486,044 243,022 121,511 364,534 182,267 546,802 273,401 820,204 410,102 205,051 615,154 307,577 922,732 461,366 230,683 692,050 346,025 1,038,076 519,038 259,519 778,558 389,279 1,167,838 583,919 1,751,758 875,879 2,627,638 1,313,819 3,941,458 1,970,729 5,912,188 2,956,094 1,478,047 4,434,142 2,217,071

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