3² × 7 × 11 × 13² × 37

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13^2 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,678,592

Proper Divisor Sum 4,345,263

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4333327 ← → #4333337

1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 169 231 259 273 333 407 429 481 507 693 777 819 1,001 1,183 1,221 1,287 1,443 1,521 1,859 2,331 2,849 3,003 3,367 3,549 3,663 4,329 5,291 5,577 6,253 8,547 9,009 10,101 10,647 13,013 15,873 16,731 18,759 25,641 30,303 37,037 39,039 43,771 47,619

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

4,333,329 12,999,988 6,499,994 3,249,997 9,749,992 4,874,996 2,437,498 1,218,749 3,656,248 1,828,124 914,062 457,031 1,371,094 685,547 2,056,642 1,028,321 3,084,964 1,542,482 771,241 2,313,724 1,156,862 578,431 1,735,294 867,647 2,602,942 1,301,471 3,904,414 1,952,207 5,856,622 2,928,311 8,784,934 4,392,467 13,177,402 6,588,701 19,766,104 9,883,052 4,941,526 2,470,763 7,412,290 3,706,145 11,118,436 5,559,218 2,779,609 8,338,828 4,169,414 2,084,707 6,254,122 3,127,061 9,381,184 4,690,592 2,345,296 1,172,648 586,324 293,162 146,581 439,744 219,872 109,936 54,968 27,484

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