3 × 13 × 89 × 199

Prime Factor Structure

Factorization String 3 × 13 × 89 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,008,000

Proper Divisor Sum 317,271

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #690721 ← → #690757

1 3 13 39 89 199 267 597 1,157 2,587 3,471 7,761 17,711 53,133 230,243 690,729

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

690,729 2,072,188 1,036,094 518,047 1,554,142 777,071 2,331,214 1,165,607 3,496,822 1,748,411 5,245,234 2,622,617 7,867,852 3,933,926 1,966,963 5,900,890 2,950,445 8,851,336 4,425,668 2,212,834 1,106,417 3,319,252 1,659,626 829,813 2,489,440 1,244,720 622,360 311,180 155,590 77,795 233,386 116,693 350,080 175,040 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731

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