2 × 3⁸ × 19 × 31

Prime Factor Structure

Factorization String 2 × 3^8 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 18,894,720

Proper Divisor Sum 11,165,862

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7728857 ← → #7728871

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

7,728,858 3,864,429 11,593,288 5,796,644 2,898,322 1,449,161 4,347,484 2,173,742 1,086,871 3,260,614 1,630,307 4,890,922 2,445,461 7,336,384 3,668,192 1,834,096 917,048 458,524 229,262 114,631 343,894 171,947 515,842 257,921 773,764 386,882 193,441 580,324 290,162 145,081 435,244 217,622 108,811 326,434 163,217 489,652 244,826 122,413 367,240 183,620 91,810 45,905 137,716 68,858 34,429 103,288 51,644 25,822 12,911 38,734 19,367 58,102 29,051 87,154 43,577 130,732 65,366 32,683 98,050 49,025

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