3³ × 5² × 7 × 13²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,815,360

Proper Divisor Sum 1,016,835

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #798521 ← → #798527

1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 169 175 189 195 225 273 315 325 351 455 507 525 585 675 819 845 945 975 1,183 1,365 1,521 1,575 1,755 2,275 2,457 2,535 2,925 3,549 4,095 4,225 4,563 4,725 5,915 6,825 7,605 8,775 10,647 12,285 12,675 17,745

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

798,525 2,395,576 1,197,788 598,894 299,447 898,342 449,171 1,347,514 673,757 2,021,272 1,010,636 505,318 252,659 757,978 378,989 1,136,968 568,484 284,242 142,121 426,364 213,182 106,591 319,774 159,887 479,662 239,831 719,494 359,747 1,079,242 539,621 1,618,864 809,432 404,716 202,358 101,179 303,538 151,769 455,308 227,654 113,827 341,482 170,741 512,224 256,112 128,056 64,028 32,014 16,007 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065

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