3 × 5 × 7 × 11³ × 359

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^3 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 101,191,680

Proper Divisor Sum 51,019,635

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #50172041 ← → #50172047

1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 359 363 385 605 847 1,077 1,155 1,331 1,795 1,815 2,513 2,541 3,949 3,993 4,235 5,385 6,655 7,539 9,317 11,847 12,565 12,705 19,745 19,965 27,643 27,951 37,695 43,439 46,585 59,235 82,929 130,317 138,215 139,755 217,195 304,073 414,645 477,829 651,585 912,219 1,433,487 1,520,365 2,389,145 3,344,803 4,561,095

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

50,172,045 150,516,136 75,258,068 37,629,034 18,814,517 56,443,552 28,221,776 14,110,888 7,055,444 3,527,722 1,763,861 5,291,584 2,645,792 1,322,896 661,448 330,724 165,362 82,681 248,044 124,022 62,011 186,034 93,017 279,052 139,526 69,763 209,290 104,645 313,936 156,968 78,484 39,242 19,621 58,864 29,432 14,716 7,358 3,679 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475

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