3² × 5 × 7 × 13 × 19

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 174,720

Proper Divisor Sum 96,915

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #77801 ← → #77813

1 3 5 7 9 13 15 19 21 35 39 45 57 63 65 91 95 105 117 133 171 195 247 273 285 315 399 455 585 665 741 819 855 1,197 1,235 1,365 1,729 1,995 2,223 3,705 4,095 5,187 5,985 8,645 11,115 15,561 25,935 77,805

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

77,805 233,416 116,708 58,354 29,177 87,532 43,766 21,883 65,650 32,825 98,476 49,238 24,619 73,858 36,929 110,788 55,394 27,697 83,092 41,546 20,773 62,320 31,160 15,580 7,790 3,895 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968

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