3³ × 7 × 41 × 59

Prime Factor Structure

Factorization String 3^3 × 7 × 41 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 806,400

Proper Divisor Sum 349,209

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #457189 ← → #457201

1 3 7 9 21 27 41 59 63 123 177 189 287 369 413 531 861 1,107 1,239 1,593 2,419 2,583 3,717 7,257 7,749 11,151 16,933 21,771 50,799 65,313 152,397 457,191

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

457,191 1,371,574 685,787 2,057,362 1,028,681 3,086,044 1,543,022 771,511 2,314,534 1,157,267 3,471,802 1,735,901 5,207,704 2,603,852 1,301,926 650,963 1,952,890 976,445 2,929,336 1,464,668 732,334 366,167 1,098,502 549,251 1,647,754 823,877 2,471,632 1,235,816 617,908 308,954 154,477 463,432 231,716 115,858 57,929 173,788 86,894 43,447 130,342 65,171 195,514 97,757 293,272 146,636 73,318 36,659 109,978 54,989 164,968 82,484 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900

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