Properties of the Number 46797

Forty-Six Thousand Seven Hundred Ninety-Seven

Basics

Value: 46796 → 46797 → 46798

Parity: odd

Prime: No

Previous Prime: 46771

Next Prime: 46807

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 821

Divisors: 1, 3, 19, 57, 821, 2463, 15599, 46797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011011001101

Octal: 133315

Duodecimal: 230B9

Hexadecimal: b6cd

Square: 2189959209

Square Root: 216.32614266426515

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.: 1/p(x), where p(x) = degree 22 Salem polynomial p(x) = x²² + x²¹ - x¹⁹ - 2·x¹⁸ - 3·x¹⁷ - 3·x¹⁶ - 2·x¹⁵ + 2·x¹³ + 4·x¹² + 5·x¹¹ + 4·x¹⁰ + 2·x⁹ - 2·x⁷ - 3·x⁶ - 3·x⁵ - 2·x⁴ - x³ + x + 1. A143419

G.f.: ∑_n>=0 (5 + xⁿ)ⁿ * xⁿ / (1-x)ⁿ⁺¹. A244618

G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - 2·x * A(x⁴))). A390661

Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 1. A242499

Non-Brauer numbers. A349044

G.f.: A(x) = ∑_n>=0 a(n)/2^A005187(n) * xⁿ = lim_n->oo F(n)^1/2ⁿ where F(n) is defined by F(n) = F(n-1)² + x^2ⁿ-1 for n >= 1 with F(0) = 1. A101190

Arithmetic, geometric and harmonic means of a(n) and A046796(n) all integers. A46797

Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299717