2² × 3⁵ × 19 × 23

Prime Factor Structure

Factorization String 2^2 × 3^5 × 19 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,223,040

Proper Divisor Sum 798,276

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #424757 ← → #424769

1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 92 108 114 138 162 171 207 228 243 276 324 342 414 437 486 513 621 684 828 874 972 1,026 1,242 1,311 1,539 1,748 1,863 2,052 2,484 2,622 3,078 3,726 3,933 4,617 5,244 5,589 6,156 7,452 7,866 9,234 11,178

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

424,764 212,382 106,191 318,574 159,287 477,862 238,931 716,794 358,397 1,075,192 537,596 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580 363,290 181,645 544,936 272,468 136,234 68,117 204,352 102,176 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695

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