3 × 11 × 53 × 257

Prime Factor Structure

Factorization String 3 × 11 × 53 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 668,736

Proper Divisor Sum 219,243

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #449473 ← → #449543

1 3 11 33 53 159 257 583 771 1,749 2,827 8,481 13,621 40,863 149,831 449,493

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

449,493 1,348,480 674,240 337,120 168,560 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131

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