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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] The twenty-second unique prime in decimal, with notably different digits than its preceding (and known following) terms in the same sequence, contains a total of 84 digits. [8]
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.
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
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]
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 ...
Duodecimal: Base 12, a numeral system that is convenient because of the many factors of 12. Sexagesimal: Base 60, first used by the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians. See positional notation for information on other bases.
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The next number not yet crossed out in the list after 5 is 7; the next step would be to cross out every 7th number in the list after 7, but they are all already crossed out at this point, as these numbers (14, 21, 28) are also multiples of smaller primes because 7 × 7 is greater than 30.