2² × 3² × 13² × 37²

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13^2 × 37^2

Distinct Prime Factors 4

Square Status Yes (√8328996 = 2886)

Abundance Measure Abundant

Analytical Properties

Total Divisors 81

Divisor Sum (σ) 23,430,771

Proper Divisor Sum 15,101,775

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8328989 ← → #8329037

1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 169 222 234 333 338 444 468 481 507 666 676 962 1,014 1,332 1,369 1,443 1,521 1,924 2,028 2,738 2,886 3,042 4,107 4,329 5,476 5,772 6,084 6,253 8,214 8,658 12,321 12,506 16,428 17,316 17,797 18,759 24,642 25,012 35,594 37,518

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

8,328,996 4,164,498 2,082,249 6,246,748 3,123,374 1,561,687 4,685,062 2,342,531 7,027,594 3,513,797 10,541,392 5,270,696 2,635,348 1,317,674 658,837 1,976,512 988,256 494,128 247,064 123,532 61,766 30,883 92,650 46,325 138,976 69,488 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245

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