2³ × 3⁴ × 13 × 53

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,372,140

Proper Divisor Sum 925,668

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #446461 ← → #446473

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 81 104 106 108 117 156 159 162 212 216 234 312 318 324 351 424 468 477 636 648 689 702 936 954 1,053 1,272 1,378 1,404 1,431 1,908 2,067 2,106 2,756 2,808 2,862 3,816 4,134 4,212 4,293 5,512

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

446,472 223,236 111,618 55,809 167,428 83,714 41,857 125,572 62,786 31,393 94,180 47,090 23,545 70,636 35,318 17,659 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969

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