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If this 4-digit number is of the form + + + (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form +, such as 707 and 808, then the number is divisible by 101. [ 9 ] On the seven-segment display of a calculator, 101 is both a strobogrammatic prime and a dihedral prime .
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term palindromic is derived from palindrome, which refers to a word (such as rotor or racecar) whose spelling ...
A strobogrammatic number is a number whose numeral is rotationally symmetric, ... and before that were 3-digit years, such as 986, 888, 689, 181, 101, etc.
A binary number is a number expressed in the base -2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols for the natural numbers: typically "0" ( zero) and "1" ( one ). A binary number may also refer to a rational number that has a finite representation in the binary numeral system, that is, the ...
If the hundreds digit is odd, the number obtained by the last two digits must be 4 times an odd number. 352: 52 = 4 x 13. Add the last digit to twice the rest. The result must be divisible by 8. 56: (5 × 2) + 6 = 16. The last three digits are divisible by 8. [ 2][ 3] 34,152: Examine divisibility of just 152: 19 × 8.
A computer number format is the internal representation of numeric values in digital device hardware and software, such as in programmable computers and calculators. [ 1] Numerical values are stored as groupings of bits, such as bytes and words. The encoding between numerical values and bit patterns is chosen for convenience of the operation of ...
In this formula, a i is an individual octal digit being converted, where i is the position of the digit (counting from 0 for the right-most digit). Example: Convert 764 8 to decimal: 764 8 = 7 × 8 2 + 6 × 8 1 + 4 × 8 0 = 448 + 48 + 4 = 500 10
Based on these restrictions, the number of candidates for n-digit numbers with record-breaking persistence is only proportional to the square of n, a tiny fraction of all possible n-digit numbers. However, any number that is missing from the sequence above would have multiplicative persistence > 11; such numbers are believed not to exist, and ...
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