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Properties of the Number 12164

Twelve Thousand One Hundred Sixty-Four

Basics

Value: 12163 → 12164 → 12165

Parity: even

Prime: No

Previous Prime: 12163

Next Prime: 12197

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 2 × 3041

Divisors: 1, 2, 4, 3041, 6082, 12164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10111110000100

Octal: 27604

Duodecimal: 7058

Hexadecimal: 2f84

Square: 147962896

Square Root: 110.2905254316979

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle read by rows: row n is the first row of the matrix M[n]n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (1,4,4,...) and super- and subdiagonals (1,1,1,...). A124576
Triangle read by rows, s3(n, k) where sm(n, k) are the Stirling-Frobenius cycle numbers of order m; n >= 0, k >= 0. A225470
T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240295
T(n,k) = Equals two maps: number of n X k binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..3 n X k array. A221290
Numbers k such that the decimal number concat(4,k) is a square. A273359
Numbers that are the sum of nine fourth powers in nine or more ways. A345593
Numbers that are the sum of nine fourth powers in exactly nine ways. A345851
a(n) = n-th elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3. A24395
T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..2 nXk array. A220935
Numbers k such that the k-th prime is of the form 2·j2 + 1. A90612