Properties of the Number 4863

Four Thousand Eight Hundred Sixty-Three

Basics

Value: 4862 → 4863 → 4864

Parity: odd

Prime: No

Previous Prime: 4861

Next Prime: 4871

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1621

Divisors: 1, 3, 1621, 4863

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011111111

Octal: 11377

Duodecimal: 2993

Hexadecimal: 12ff

Square: 23648769

Square Root: 69.73521348644456

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

Number of atoms in a decahedron with n shells. A4068

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302877

a(n) = ∑_d∣n d·binomial(n/d+d-2,d-1). A157020

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240394

A sequence of asymptotic density ζ(9) - 1, where ζ is the Riemann ζ function. A143035

Becomes prime after n iterations of f(x) = σ(x)-1 (least inverse of A039655). A39656

Whitney number of level n of the lattice of the ideals of the crown of size 2 n. A51292

a(n) = C(n) + 1 - 0ⁿ where C(n) = A000108(n). A141351

a(n) = T(n,n-4), array T as in A055801. A55804

Maximal coefficient of (1 + x) * (1 + x⁸) * (1 + x²⁷) * ... * (1 + x^n³). A359319