Properties of the Number 10164

Ten Thousand One Hundred Sixty-Four

Basics

Value: 10163 → 10164 → 10165

Parity: even

Prime: No

Previous Prime: 10163

Next Prime: 10169

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 11 ²

Divisors: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110110100

Octal: 23664

Duodecimal: 5A70

Hexadecimal: 27b4

Square: 103306896

Square Root: 100.81666528902848

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

a(n) = n³ - n². A45991

Aliquot sequence starting at 276. A8892

Numbers k such that σ(x) = k has exactly 9 solutions. A60665

T(n,k)=Number of nXnXn triangular 0..k arrays with some element less than a w, nw or ne neighbor exactly once. A271034

Number of labeled rooted compound windmills (mobiles) with n nodes. A38037

a(n) = binomial(n,3) - binomial(floor(n/2),3) - binomial(ceiling(n/2),3). A111384

Coefficients in a q-analog of the LambertW function, as a triangle read by rows. A152290

Expansion of e.g.f. 1/(1 - x³/6 * (exp(x) - 1)). A353999

Concentric 21-gonal numbers. A195049

Smallest area of any triangle with integer sides a <= b <= c and inradius n. A120572