Properties of the Number 45813

Forty-Five Thousand Eight Hundred Thirteen

Basics

Value: 45812 → 45813 → 45814

Parity: odd

Prime: No

Previous Prime: 45779

Next Prime: 45817

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 15271

Divisors: 1, 3, 15271, 45813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001011110101

Octal: 131365

Duodecimal: 22619

Hexadecimal: b2f5

Square: 2098830969

Square Root: 214.03971594075713

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) = ∑_k=0..n 2^n-k * binomial(k+2,2) * binomial(k,n-k)². A391689

Index k in A095773 where a string of n identical values occurs. A96183

Triangle read by rows: row n gives coefficients of increasing powers of·in the polynomial (-1)ⁿ*p(n), where p(n) is defined as follows. Let f(n) = n*(n+1)/2, g(n) = f(n)+1; then p(-1) = 0, p(0) = 1 and for n >= 1, p(n) = (x - f(n))*p(n - 1) - g(n - 1)²*p(n - 2). A135049

a(1) = 1; if a(n) is not divisible by 3, a(n+1) = 4·a(n) + 1, otherwise a(n+1) = a(n)/3. A346035

Base-4 numbers whose list of divisors (in base 4) contains each digit 0-3 the same number of times. A45813

Number of nX3 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than itself. A196425