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Decimal base Prime factors of the base: 2, 5 Prime factors of one below the base: 3 Prime factors of one above the base: 11 All other primes: 7, 13, 17, 19, 23, 29, 31: Duodecimal base Prime factors of the base: 2, 3 Prime factors of one below the base: B Prime factors of one above the base: 11 (=13 10)
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. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.
36 is the largest numeric base that some computer systems support because it exhausts the numerals, 0–9, and the letters, A-Z. See Base 36. The truncated cube and the truncated octahedron are Archimedean solids with 36 edges. [9] The number of domino tilings of a 4×4 checkerboard is 36. [10] Since it is possible to find sequences of 36 ...
0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, 8, 25, 43, 62, ... "subtract if possible, otherwise add" : a (0) = 0; for n > 0, a ( n ) = a ( n − 1) − n if that number is positive and not already in the sequence, otherwise a ( n ) = a ( n − 1) + n , whether or not that number is already in the sequence.
Since the greatest prime factor of + = is 157, which is more than 28 twice, 28 is a Størmer number. [ 3 ] Twenty-eight is a harmonic divisor number , [ 4 ] a happy number , [ 5 ] the 7th triangular number , [ 6 ] a hexagonal number , [ 7 ] a Leyland number of the second kind [ 8 ] ( 2 6 − 6 2 {\displaystyle 2^{6}-6^{2}} ), and a centered ...
The 28/36 rule says your total housing costs shouldn’t exceed 28% of your gross income, and your total debt shouldn’t exceed 36%. But what does this mean, and how does the rule work in ...
231 is also a multiple of 3: one has 231 = 3 · 77, and thus n = 2 · 3 2 · 77. Continue with 77, and 3 as a first divisor candidate. 77 is not a multiple of 3, since the sum of its digits is 14, not a multiple of 3. It is also not a multiple of 5 because its last digit is 7. The next odd divisor to be tested is 7.