Properties of the Number 45326

Forty-Five Thousand Three Hundred Twenty-Six

Basics

Value: 45325 → 45326 → 45327

Parity: even

Prime: No

Previous Prime: 45319

Next Prime: 45329

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 131 × 173

Divisors: 1, 2, 131, 173, 262, 346, 22663, 45326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000100001110

Octal: 130416

Duodecimal: 22292

Hexadecimal: b10e

Square: 2054446276

Square Root: 212.89903710444534

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

G.f. A(x,y) satisfies: x·y*A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355360

Maximal coefficient of (1 + x) * (1 + x - x²) * ... * (1 + x - x² + ... - (-x)ⁿ). A369773

Number of partitions of the n-th prime into integers <= n. A92298

Primes congruent to {2, 3} mod 4. A45326

Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. A283546