Properties of the Number 23164

Twenty-Three Thousand One Hundred Sixty-Four

Basics

Value: 23163 → 23164 → 23165

Parity: even

Prime: No

Previous Prime: 23159

Next Prime: 23167

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5791

Divisors: 1, 2, 4, 5791, 11582, 23164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101001111100

Octal: 55174

Duodecimal: 114A4

Hexadecimal: 5a7c

Square: 536570896

Square Root: 152.1972404480449

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

T(n,k)=Number of length n+5 0..k arrays with some disjoint triples in each consecutive six terms having the same sum. A248068

Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k peaks at odd levels (0<=k<=n-2; n>=2). A hill in a Dyck path is a peak at level 1. A114586

a(n) = A186434(n)/4. A271908

Triangle of coefficients of polynomials u(n,x) jointly generated with A210228; see the Formula section. A210227

a(n) is the number of composites k such that radical(k) = sopfr(k) = A350352(n). A391501

Number of osculating polygons of perimeter 2n on square lattice. A121345

Number of (n+2) X 4 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. A184541

Number of length n+5 0..3 arrays with some disjoint triples in each consecutive six terms having the same sum. A248063

Number of length 5+5 0..n arrays with some disjoint triples in each consecutive six terms having the same sum. A248073

A polynomial of matrices is used to make a triangular sequence. The upper triangular antidiagonal Steinbach matrices are summed over their characteristic polynomial triangular sequences to give a new sequence of matrices: the characteristic polynomials of these new summed matrices are, then, used to make up this triangular sequence. A123951