2³ × 3⁸ × 11

Prime Factor Structure

Factorization String 2^3 × 3^8 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,771,380

Proper Divisor Sum 1,194,012

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #577363 ← → #577387

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1,188 1,458 1,782 1,944 2,187 2,376 2,673 2,916 3,564 4,374 5,346 5,832 6,561 7,128 8,019 8,748 10,692 13,122 16,038 17,496 21,384

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

577,368 288,684 144,342 72,171 216,514 108,257 324,772 162,386 81,193 243,580 121,790 60,895 182,686 91,343 274,030 137,015 411,046 205,523 616,570 308,285 924,856 462,428 231,214 115,607 346,822 173,411 520,234 260,117 780,352 390,176 195,088 97,544 48,772 24,386 12,193 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665

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