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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]
A powerful number (also called squareful) has multiplicity above 1 for all prime factors. The first: 1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72 (sequence A001694 in the OEIS ). A prime power has only one prime factor.
Also called primes congruent to d modulo a. The primes of the form 2 n +1 are the odd primes, including all primes other than 2. Some sequences have alternate names: 4 n +1 are Pythagorean primes, 4 n +3 are the integer Gaussian primes, and 6 n +5 are the Eisenstein primes (with 2 omitted).
factors d(n) primorial ... 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, and ...
If all the prime factors of a number are repeated it is called a powerful number (All perfect powers are powerful numbers). If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number.
If the cracker crumbles into 3 to 4 pieces, then try again with a new cracker. Use a gentle sprinkle of brown sugar on the top of each cracker. I estimated about 1/2 teaspoon of brown sugar per ...
(Reuters) -Global trading house Cargill said on Tuesday it plans to cut around 5% of its staff, or about 8,000 jobs after revenue slumped in its most recent fiscal year as crop prices hit multi ...
The AL Central surprised the entire sport this year, with three teams reaching the postseason in the Tigers, Royals and Guardians. All three advanced at least one round.