Properties of the Number 10165

Ten Thousand One Hundred Sixty-Five

Basics

Value: 10164 → 10165 → 10166

Parity: odd

Prime: No

Previous Prime: 10163

Next Prime: 10169

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 19 × 107

Divisors: 1, 5, 19, 95, 107, 535, 2033, 10165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110110101

Octal: 23665

Duodecimal: 5A71

Hexadecimal: 27b5

Square: 103327225

Square Root: 100.82162466455298

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

Concentric 22-gonal numbers. A195149

Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A137251

a(n) = (-1)ⁿ⁺¹*∑_k=0..n+1(-1)^k*binomial(2·k,k). A54108

a(n) = n³ - n² + 1. A100104

Centered 44-gonal numbers. A195318

Number of vertices formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts. A355949

a(n) is the smallest k such that (k³ + 1)/(n³ + 1) is an integer > 1. A65964

Euler transform of A373216. A373297

Triangle T(n,k) defined by ∑_{n >= 0,m >= 0} T(n,m)*x^m*yⁿ = 1 + y*(1 + 3·x - 4·x²*y - 3·x²*y² - 3·x³*y² + 4·x⁴*y³)/((1 - y - 2·x*y - x·y² + x³*y³)*(1 - x·y)). A61702

a(n) = (n-1)*(n-2)*(n²+9·n+12)/24. A323847