2 × 7³ × 29 × 31 × 83

Prime Factor Structure

Factorization String 2 × 7^3 × 29 × 31 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 96,768,000

Proper Divisor Sum 45,580,738

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #51187261 ← → #51187271

1 2 7 14 29 31 49 58 62 83 98 166 203 217 343 406 434 581 686 899 1,162 1,421 1,519 1,798 2,407 2,573 2,842 3,038 4,067 4,814 5,146 6,293 8,134 9,947 10,633 12,586 16,849 18,011 19,894 21,266 28,469 33,698 36,022 44,051 56,938 74,617 88,102 117,943 126,077 149,234 235,886 252,154 308,357 522,319 616,714 825,601 882,539 1,044,638 1,651,202 1,765,078

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

51,187,262 25,593,631 76,780,894 38,390,447 115,171,342 57,585,671 172,757,014 86,378,507 259,135,522 129,567,761 388,703,284 194,351,642 97,175,821 291,527,464 145,763,732 72,881,866 36,440,933 109,322,800 54,661,400 27,330,700 13,665,350 6,832,675 20,498,026 10,249,013 30,747,040 15,373,520 7,686,760 3,843,380 1,921,690 960,845 2,882,536 1,441,268 720,634 360,317 1,080,952 540,476 270,238 135,119 405,358 202,679 608,038 304,019 912,058 456,029 1,368,088 684,044 342,022 171,011 513,034 256,517 769,552 384,776 192,388 96,194 48,097 144,292 72,146 36,073 108,220 54,110

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