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Although 11-digit and 13-digit numbers have only one solution, it forms a loop of five numbers and a loop of two numbers, respectively. [13] Hence, Prichett's result that the Kaprekar's constants are limited to 495 (3 digits) and 6174 (4 digits) [ 14 ] is verified.
Digit Zero: 0017 U+0031 1 49 061 Digit One: 0018 U+0032 2 50 062 Digit Two: 0019 U+0033 3 51 063 Digit Three: 0020 U+0034 4 52 064 Digit Four: 0021 U+0035 5 53 065 Digit Five: 0022 U+0036 6 54 066 Digit Six: 0023 U+0037 7 55 067 Digit Seven: 0024 U+0038 8 56 070 Digit Eight: 0025 U+0039 9 57 071 Digit Nine: 0026 ASCII Punctuation & Symbols: U+ ...
In number theory, a narcissistic number [1] [2] (also known as a pluperfect digital invariant (PPDI), [3] an Armstrong number [4] (after Michael F. Armstrong) [5] or a plus perfect number) [6] in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.
A Nivenmorphic number or harshadmorphic number for a given number base is an integer t such that there exists some harshad number N whose digit sum is t, and t, written in that base, terminates N written in the same base. For example, 18 is a Nivenmorphic number for base 10: 16218 is a harshad number 16218 has 18 as digit sum 18 terminates 16218
It is also used by Mach-O to identify Universal object files, and by the Java programming language to identify Java bytecode class files. It was originally created by NeXTSTEP developers as a reference to the baristas at Peet's Coffee & Tea. [4] 0xCAFED00D: 3405697037 ("cafe dude") is used by Java as a magic number for their pack200 compression ...
In a vigesimal place system, twenty individual numerals (or digit symbols) are used, ten more than in the decimal system. One modern method of finding the extra needed symbols is to write ten as the letter A, or A 20, where the 20 means base 20, to write nineteen as J 20, and the numbers between with the corresponding letters of the alphabet.
Euler ascertained that 2 31 − 1 = 2147483647 is a prime number; and this is the greatest at present known to be such, and, consequently, the last of the above perfect numbers [i.e., 2 30 (2 31 − 1)], which depends upon this, is the greatest perfect number known at present, and probably the greatest that ever will be discovered; for as they ...
The most common superscript digits (1, 2, and 3) were included in ISO-8859-1 and were therefore carried over into those code points in the Latin-1 range of Unicode. The remainder were placed along with basic arithmetical symbols, and later some Latin subscripts, in a dedicated block at U+2070 to U+209F.