2 × 3 × 5 × 7 × 37 × 59

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 37 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,313,280

Proper Divisor Sum 854,850

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #458407 ← → #458449

1 2 3 5 6 7 10 14 15 21 30 35 37 42 59 70 74 105 111 118 177 185 210 222 259 295 354 370 413 518 555 590 777 826 885 1,110 1,239 1,295 1,554 1,770 2,065 2,183 2,478 2,590 3,885 4,130 4,366 6,195 6,549 7,770 10,915 12,390 13,098 15,281 21,830 30,562 32,745 45,843 65,490 76,405

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

458,430 229,215 687,646 343,823 1,031,470 515,735 1,547,206 773,603 2,320,810 1,160,405 3,481,216 1,740,608 870,304 435,152 217,576 108,788 54,394 27,197 81,592 40,796 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455

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