3⁵ × 5² × 11 × 71

Prime Factor Structure

Factorization String 3^5 × 5^2 × 11 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,749,376

Proper Divisor Sum 5,004,801

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4744573 ← → #4744589

1 3 5 9 11 15 25 27 33 45 55 71 75 81 99 135 165 213 225 243 275 297 355 405 495 639 675 781 825 891 1,065 1,215 1,485 1,775 1,917 2,025 2,343 2,475 2,673 3,195 3,905 4,455 5,325 5,751 6,075 7,029 7,425 9,585 11,715 13,365 15,975 17,253 19,525 21,087 22,275 28,755 35,145 47,925 58,575 63,261

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

4,744,575 14,233,726 7,116,863 21,350,590 10,675,295 32,025,886 16,012,943 48,038,830 24,019,415 72,058,246 36,029,123 108,087,370 54,043,685 162,131,056 81,065,528 40,532,764 20,266,382 10,133,191 30,399,574 15,199,787 45,599,362 22,799,681 68,399,044 34,199,522 17,099,761 51,299,284 25,649,642 12,824,821 38,474,464 19,237,232 9,618,616 4,809,308 2,404,654 1,202,327 3,606,982 1,803,491 5,410,474 2,705,237 8,115,712 4,057,856 2,028,928 1,014,464 507,232 253,616 126,808 63,404 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095

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