Properties of the Number 8150

Eight Thousand One Hundred Fifty

Basics

Value: 8149 → 8150 → 8151

Parity: even

Prime: No

Previous Prime: 8147

Next Prime: 8161

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 ² × 163

Divisors: 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111010110

Octal: 17726

Duodecimal: 4872

Hexadecimal: 1fd6

Square: 66422500

Square Root: 90.27735042633894

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

T(n,k) is the number of strictly increasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero. A188181

T(n,k)=Number of length n+5 0..k arrays with no disjoint triples in any consecutive six terms having the same sum. A247995

Number of integer partitions of n whose weighted sum is divisible by n. A362559

Numbers k such that k and k+1 are both lazy-Pell-Niven numbers (A352342). A352343

a(n) = n - A243071(n). A364288

Number of permutations of length n which avoid the patterns 321, 2143, 3124; or avoid the patterns 132, 2314, 4312, etc. A116731

Numbers that are the sum of ten fourth powers in eight or more ways. A345601

Numbers that are the sum of ten fourth powers in exactly eight ways. A345860

a(n) = A364557(n) - A000010(n), where A364557 is the Möbius transform of A005941, and A000010 (Euler φ) is the Möbius transform of A000027. A364558

a(n) = A005941(n) - n. A364559