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It is the third (or second) dodecahedral number, [4] and the sum of the first seven triangular numbers (1, 3, 6, 10, 15, 21, 28), which makes it the seventh tetrahedral number. [5] The number of divisors of 84 is 12. [6] As no smaller number has more than 12 divisors, 84 is a largely composite number. [7]
lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd( m , n ) × lcm( m , n ) = m × n . Finding the prime factors is often harder than computing gcd and lcm using other algorithms which do not require known prime factorization.
The question of how many integer prime numbers factor into a product of multiple prime ideals in an algebraic number field is addressed by Chebotarev's density theorem, which (when applied to the cyclotomic integers) has Dirichlet's theorem on primes in arithmetic progressions as a special case. [119]
A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2 × 10 22) smaller than 10 24, if the Riemann hypothesis is true. [ 4 ] Lists of primes by type
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factors d(n) primorial ... 10 84 24 25200 4,2,2,1 9 ... Also, except in two special cases n = 4 and n = 36, the last exponent c k must equal 1. It means that 1, 4 ...
At least three police officers and one civilian were hospitalized after the accident. KTVU
She also has climbed to the top of the Rock of Guatape in Colombia, been named one of the Fittest 50 Over 50 in the nation and has won medals through the National Senior Games.