# automorphic number

automorphic number
A number whose decimal representation of its square ends in itself.

5 is an automorphic number because 5 = 25, which ends in 5.

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• Automorphic number — In mathematics an automorphic number (sometimes referred to as a circular number) is a number whose square ends in the same digits as number itself. For example, 52 = 25, 762 = 5776, and 8906252 = 793212890625, so 5, 76 and 890625 are all… …   Wikipedia

• Automorphic — in mathematics may apply to*Automorphic numbers *Automorphic forms or the related automorphic representations *Automorphism …   Wikipedia

• number game — Introduction       any of various puzzles and games that involve aspects of mathematics.       Mathematical recreations comprise puzzles and games that vary from naive amusements to sophisticated problems, some of which have never been solved.… …   Universalium

• Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… …   Wikipedia

• Automorphic factor — In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R), appearing in the theory of modular forms. The general case, for general groups, is reviewed in the article factor of automorphy .… …   Wikipedia

• Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

• 90000 (number) — Number number = 90000 range = 10000 100000 cardinal = 90000 ordinal = th ordinal text = ninety thousandth factorization = 2^4 cdot 3^2 cdot 5^4 bin = 10101111110010000 oct = 257620 hex = 15F9090,000 (ninety thousand) is the number that comes… …   Wikipedia

• automorphic — adjective a) Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic b) Describing a number whose square ends in the number itself; circular …   Wiktionary

• 25 (number) — ← 24 26 → 25 ← 20 21 22 23 24 25 26 …   Wikipedia

• 5 (number) — This article discusses the number five. For the year 5 AD, see 5. For other uses of 5, see 5 (disambiguation). 5 −1 0 1 2 3 4 5 6 7 8 9 → List of numbers Integers …   Wikipedia