Properties of the Number 17664

Seventeen Thousand Six Hundred Sixty-Four

Basics

Value: 17663 → 17664 → 17665

Parity: even

Prime: No

Previous Prime: 17659

Next Prime: 17669

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 23

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100010100000000

Octal: 42400

Duodecimal: A280

Hexadecimal: 4500

Square: 312016896

Square Root: 132.9059818066892

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

Triangle read by rows: T(n,k) = ∑_j=0..k-1 T(n,j) + ∑_j=1..n-k T(n-j,k), with T(0,0)=1 and T(n,k) = 0 for k > n. A59450

a(n) = 2^n-3*(n²+3·n+8). A72863

The greedy sequence of real numbers at least 1 that do not contain any 3-term geometric progressions with integer ratio. A235054

Numbers of the form p⁸*q·r where p, q, and r are distinct primes. A179747

Numbers k such that prime(k+3)-(k+3)*τ(k+3) = prime(k-3)-(k-3)*τ(k-3) where τ(k) = A000005(k) is the number of divisors of k. A67355

Number of triangles, distinct up to congruence, on a centered hexagonal grid of size n. A241231

Trails of length n on honeycomb lattice. A6851

θ series of {D₆}* lattice. A8425

First term of A175304 with a given prime signature. A282231

a(n) = 27ⁿ * ∑_k=0..n (-1)^k*binomial(1/3, k)². A367331