2³ × 7² × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 7^2 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 143,640

Proper Divisor Sum 87,584

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #56053 ← → #56081

1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1,001 1,078 1,144 1,274 2,002 2,156 2,548 4,004 4,312 5,096 7,007 8,008 14,014 28,028 56,056

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

56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356

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