3² × 5 × 13 × 19 × 31

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 19 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 698,880

Proper Divisor Sum 354,315

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #344543 ← → #344567

1 3 5 9 13 15 19 31 39 45 57 65 93 95 117 155 171 195 247 279 285 403 465 585 589 741 855 1,209 1,235 1,395 1,767 2,015 2,223 2,945 3,627 3,705 5,301 6,045 7,657 8,835 11,115 18,135 22,971 26,505 38,285 68,913 114,855 344,565

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

344,565 1,033,696 516,848 258,424 129,212 64,606 32,303 96,910 48,455 145,366 72,683 218,050 109,025 327,076 163,538 81,769 245,308 122,654 61,327 183,982 91,991 275,974 137,987 413,962 206,981 620,944 310,472 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730

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