Properties of the Number 4810

Four Thousand Eight Hundred Ten

Basics

Value: 4809 → 4810 → 4811

Parity: even

Prime: No

Previous Prime: 4801

Next Prime: 4813

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 13 × 37

Divisors: 1, 2, 5, 10, 13, 26, 37, 65, 74, 130

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001011001010

Octal: 11312

Duodecimal: 294A

Hexadecimal: 12ca

Square: 23136100

Square Root: 69.35416353759881

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

Reversion of g.f. for Fibonacci numbers 1, 1, 2, 3, 5, .... A7440

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 13 ways. A97102

a(n) = Product{k>=0} (1 + floor(n/3^k)). A132327

a(n) = n*(7·n + 1)/2. A22265

Numbers having exactly three prime gaps in their factorization. A73495

Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386). A343773

G.f. A(x) satisfies: 2ⁿ - 1 = ∑_k=0..n [x^k]A(x)ⁿ and also satisfies: (2+z)ⁿ - (1+z)ⁿ + zⁿ = ∑_k=0..n [x^k](A(x)+z·x)ⁿ for all z, where [x^k]A(x)ⁿ denotes the coefficient of x^k in A(x)ⁿ. A100223

Numbers k with the property that the average digit of k² is 2. A164770

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186482