2³ × 3⁴ × 1123

Prime Factor Structure

Factorization String 2^3 × 3^4 × 1123

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,040,060

Proper Divisor Sum 1,312,356

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #727703 ← → #727711

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

727,704 363,852 181,926 90,963 272,890 136,445 409,336 204,668 102,334 51,167 153,502 76,751 230,254 115,127 345,382 172,691 518,074 259,037 777,112 388,556 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772

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