2³ × 7² × 11 × 13²

Prime Factor Structure

Factorization String 2^3 × 7^2 × 11 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,877,580

Proper Divisor Sum 1,148,852

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #728723 ← → #728729

1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 169 182 196 286 308 338 364 392 539 572 616 637 676 728 1,001 1,078 1,144 1,183 1,274 1,352 1,859 2,002 2,156 2,366 2,548 3,718 4,004 4,312 4,732 5,096 7,007 7,436 8,008 8,281 9,464 13,013 14,014 14,872

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

728,728 364,364 182,182 91,091 273,274 136,637 409,912 204,956 102,478 51,239 153,718 76,859 230,578 115,289 345,868 172,934 86,467 259,402 129,701 389,104 194,552 97,276 48,638 24,319 72,958 36,479 109,438 54,719 164,158 82,079 246,238 123,119 369,358 184,679 554,038 277,019 831,058 415,529 1,246,588 623,294 311,647 934,942 467,471 1,402,414 701,207 2,103,622 1,051,811 3,155,434 1,577,717 4,733,152 2,366,576 1,183,288 591,644 295,822 147,911 443,734 221,867 665,602 332,801 998,404

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