2³ × 3³ × 13 × 157

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,327,200

Proper Divisor Sum 886,344

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #440849 ← → #440863

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 157 216 234 312 314 351 468 471 628 702 936 942 1,256 1,404 1,413 1,884 2,041 2,808 2,826 3,768 4,082 4,239 5,652 6,123 8,164 8,478 11,304 12,246 16,328 16,956 18,369 24,492 33,912 36,738 48,984 55,107 73,476

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

440,856 220,428 110,214 55,107 165,322 82,661 247,984 123,992 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806

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