2 × 3² × 5 × 29 × 157

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,109,160

Proper Divisor Sum 699,390

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #409769 ← → #409777

1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 157 174 261 290 314 435 471 522 785 870 942 1,305 1,413 1,570 2,355 2,610 2,826 4,553 4,710 7,065 9,106 13,659 14,130 22,765 27,318 40,977 45,530 68,295 81,954 136,590 204,885 409,770

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

409,770 204,885 614,656 307,328 153,664 76,832 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436

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