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In base 12, a square number can end only with square digits (like in base 12, a prime number can end only with prime digits or 1), that is, 0, 1, 4 or 9, as follows: if a number is divisible both by 2 and by 3 (that is, divisible by 6), its square ends in 0, and its preceding digit must be 0 or 3;
It uses the digits 0, 1, 2, and 3 to represent any real number. Conversion from binary is straightforward. Four is the largest number within the subitizing range and one of two numbers that is both a square and a highly composite number (the other being thirty-six), making quaternary a convenient choice for a base at this scale.
The palindromic square numbers are 0, 1, 4, 9, 121, 484 ... and it is a conjecture the fourth root of all the palindrome fourth powers are a palindrome with 100000 ...
t(n) = C(n + 1, 2) = n(n + 1) / 2 = 1 + 2 + ... + n for n ≥ 1, with t(0) = 0 (empty sum). A000217: Square numbers n 2: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, ... n 2 = n × n: A000290: Tetrahedral numbers T(n) 0, 1, 4, 10, 20, 35, 56, 84, 120, 165, ... T(n) is the sum of the first n triangular numbers, with T(0) = 0 (empty sum). A000292 ...
also square or squared for denoting ... a myriad (a hundred hundred), commonly used in the sense of an indefinite very high number; 100,000: a ... 0–0 British ...
956,619: 956619^2=915119911161, and only the digits 1, 5, 6 and 9 are used in both this number and its square. 967,680 = highly totient number [5] 970,299 = 99 3, the largest 6-digit cube; 998,001 = 999 2, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998. [59]
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.