2³ × 3⁶ × 7

Prime Factor Structure

Factorization String 2^3 × 3^6 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 131,160

Proper Divisor Sum 90,336

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40823 ← → #40829

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1,134 1,458 1,512 1,701 1,944 2,268 2,916 3,402 4,536 5,103 5,832 6,804 10,206 13,608 20,412 40,824

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

40,824 20,412 10,206 5,103 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260

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