Properties of the Number 5817

Five Thousand Eight Hundred Seventeen

Basics

Value: 5816 → 5817 → 5818

Parity: odd

Prime: No

Previous Prime: 5813

Next Prime: 5821

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 277

Divisors: 1, 3, 7, 21, 277, 831, 1939, 5817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010111001

Octal: 13271

Duodecimal: 3449

Hexadecimal: 16b9

Square: 33837489

Square Root: 76.26925986267338

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) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Interprimes (A024675) which are of the form s·prime, s=21. A75296

Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations. A152175

Euler transform of A000332. A391

Triangle read by rows: T(n, k) is the number of primitive (period n) n-bead necklace structures with k different colors. Only includes structures that contain all k colors. A107424

Molien series for invariants of finite Coxeter group A₁₂. A266781

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50035

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A251100

Triangle read by rows: T(n,k) is the number of n-bead necklace structures which are not self-equivalent under a nonzero rotation using exactly k different colored beads. A327693

Expansion of ∏_k>=1 1/(1 - x^k)^p(k-p(k-1)), where p(k) = number of partitions of k (A000041). A304967