Properties of the Number 8180

Eight Thousand One Hundred Eighty

Basics

Value: 8179 → 8180 → 8181

Parity: even

Prime: No

Previous Prime: 8179

Next Prime: 8191

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 409

Divisors: 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111110100

Octal: 17764

Duodecimal: 4898

Hexadecimal: 1ff4

Square: 66912400

Square Root: 90.44335243676011

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 partitions of n which represent first player winning Chomp positions with multiple winning moves. A112473

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264534

a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres. A46127

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281605

a(n) = n plus sum of previous three terms. A62544

Row sums of triangle A132044. A132045

Numbers n such that there are precisely 15 groups of orders n and n + 1. A295995

a(n) = 2ⁿ⁺¹ - n. A95768

a(n) = 250·n - 70. A154361

Number of integer partitions of n whose number of nontrivial submultisets is greater than their number of distinct parts times their number of parts minus 1. A328960