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A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758 Extravagant numbers
Students in Grade 4 through Grade 12 are eligible to enter this event. For competition purposes, separate divisions are held for Grades 4-6, Grades 7-8, and Grades 9-12, with separate subjects covered on each test as follows: The test for Grades 4-6 covers basic arithmetic and mathematical functions.
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.
The naming procedure for large numbers is based on taking the number n occurring in 10 3n+3 (short scale) or 10 6n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 10 3·999+3 = 10 3000 (short scale) or 10 6·999 = 10 5994 (long scale
The same suffix may be used with more than one category of number, as for example the orginary numbers secondary and tertiary and the distributive numbers binary and ternary. For the hundreds, there are competing forms: Those in -gent- , from the original Latin, and those in -cent- , derived from centi- , etc. plus the prefixes for 1 through 9 .
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.