Properties of the Number 36478

Thirty-Six Thousand Four Hundred Seventy-Eight

Basics

Value: 36477 → 36478 → 36479

Parity: even

Prime: No

Previous Prime: 36473

Next Prime: 36479

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 23 × 61

Divisors: 1, 2, 13, 23, 26, 46, 61, 122, 299, 598

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111001111110

Octal: 107176

Duodecimal: 1913A

Hexadecimal: 8e7e

Square: 1330644484

Square Root: 190.99214643539665

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

Square array of coefficients in the successive iterations of x·C(x) = (1-sqrt(1-4·x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals. A158825

Expansion of ∏_k>0 theta₃(q^k), where theta₃() is the Jacobi θ function. A320067

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors. A205246

Third iteration of x·C(x) where C(x) is the Catalan function (A000108). A158826

a(n) = prime(n)²-3. A182200

Expansion of 1/(1-2·x+2·x²+x³). A77944

Expansion of q^-3/4 * η(q)² * η(q²)⁴ * η(q⁸)⁴ / η(q⁴)⁶ in powers of q. A135467

Matrix cube of triangle U = A136228, read by rows. A136236

Expansion of 1/(1+2·x+2·x²-x³). A77992

Number of (n+1)X3 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors. A205240