Properties of the Number 5067

Five Thousand Sixty-Seven

Basics

Value: 5066 → 5067 → 5068

Parity: odd

Prime: No

Previous Prime: 5059

Next Prime: 5077

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 563

Divisors: 1, 3, 9, 563, 1689, 5067

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111001011

Octal: 11713

Duodecimal: 2B23

Hexadecimal: 13cb

Square: 25674489

Square Root: 71.18286310622803

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 down/up (initially descending) compositions of n. A25049

Number of integer partitions of n into relatively prime parts that are all greater than 1. A302698

Number of series-reduced balanced trees with n leaves. A120803

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and first differences in -k..k. A208993

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 6 multiples of n-1, n-2, ..., 1. A113743

a(n) = n²*(2·n⁸ + 120·n⁶ + 1806·n⁴ + 7180·n² + 5067)/14175. A99197

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 8 multiples of n-1, n-2, ..., 1, for n>=1. A113745

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 10 multiples of n-1, n-2, ..., 1, for n>=1. A113747

Sum of the sixth largest parts of the partitions of n into 10 squarefree parts. A326632

Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 6 sites wide. A58367