2 × 3² × 5 × 7² × 97

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,307,124

Proper Divisor Sum 879,354

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #427751 ← → #427781

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 97 98 105 126 147 194 210 245 291 294 315 441 485 490 582 630 679 735 873 882 970 1,358 1,455 1,470 1,746 2,037 2,205 2,910 3,395 4,074 4,365 4,410 4,753 6,111 6,790 8,730 9,506 10,185 12,222 14,259

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

427,770 213,885 641,656 320,828 160,414 80,207 240,622 120,311 360,934 180,467 541,402 270,701 812,104 406,052 203,026 101,513 304,540 152,270 76,135 228,406 114,203 342,610 171,305 513,916 256,958 128,479 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734 365,867 1,097,602 548,801 1,646,404 823,202 411,601 1,234,804 617,402 308,701 926,104 463,052 231,526 115,763 347,290 173,645 520,936 260,468 130,234 65,117 195,352 97,676

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