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A power of two is a number of the form 2 n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent. In the fast-growing hierarchy , 2 n is exactly equal to f 1 n ( 1 ) {\displaystyle f_{1}^{n}(1)} .
A powerful number is a positive integer m such that for every prime number p dividing m, p 2 also divides m.Equivalently, a powerful number is the product of a square and a cube, that is, a number m of the form m = a 2 b 3, where a and b are positive integers.
In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.
For example, a 32-bit word consisting of 4 bytes can represent 2 32 distinct values, which can either be regarded as mere bit-patterns, or are more commonly interpreted as the unsigned numbers from 0 to 2 32 − 1, or as the range of signed numbers between −2 31 and 2 31 − 1. For more about representing signed numbers see two's complement.
The first nine terms of the sequence 1 2, 11 2, 111 2, 1111 2, ... form the palindromes 1, 121, 12321, 1234321, ... (sequence A002477 in the OEIS ) The only known non-palindromic number whose cube is a palindrome is 2201, and it is a conjecture the fourth root of all the palindrome fourth powers are a palindrome with 100000...000001 (10 n + 1).
Rational numbers (): Numbers that can be expressed as a ratio of an integer to a non-zero integer. [3] All integers are rational, but there are rational numbers that are not integers, such as −2/9. Real numbers (): Numbers that correspond to points along a line. They can be positive, negative, or zero. All rational numbers are real, but the ...
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A power of two is a number of the form 2 n, meaning 2 multiplied by itself n times. Power of two or variations may also refer to: The Power of Two, a 2009 album by Michael Feinstein and Cheyenne Jackson "Power of Two" (song), a song by the Indigo Girls; Power of 2, a self-help book about partnerships by Rodd Wagner and Gale Muller "The Power of ...