Properties of the Number 23236

Twenty-Three Thousand Two Hundred Thirty-Six

Basics

Value: 23235 → 23236 → 23237

Parity: even

Prime: No

Previous Prime: 23227

Next Prime: 23251

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 37 × 157

Divisors: 1, 2, 4, 37, 74, 148, 157, 314, 628, 5809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101011000100

Octal: 55304

Duodecimal: 11544

Hexadecimal: 5ac4

Square: 539911696

Square Root: 152.43359209832983

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

a(n) = (2·n - 1)*(11·n² - 11·n + 6)/6. A63492

Path-counting array T; each step of a path is (1 right) or (1 up) to a point below line y=x, else (1 right and 1 up) or (1 up) to a point on the line y=x, else (1 left) or (1 up) to a point above line y=x. T(i,j)=number of paths to point (i-j,j), for 1<=j<=i, i >= 1. A55450

a(n) = T(n,n-2), array T as in A055450. A55452

Sum array of Catalan numbers (A000108) read by upward antidiagonals. A106534

G.f.: ∏_{k>=1, j>=1} 1/(1 - x^j·k³). A280661

Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239852

a(n) = ∑_k=0..n binomial(n-3,n-k)*Catalan(k). A277969

Triangle A106534 with reversed rows. A280470

G.f. satisfies A(x) = x + ∏_n>=2 A(xⁿ) with A(0) = 1. A385635

Sequence arising in search for Legendre sequences. A39795