Properties of the Number 20317

Twenty Thousand Three Hundred Seventeen

Basics

Value: 20316 → 20317 → 20318

Parity: odd

Prime: No

Previous Prime: 20297

Next Prime: 20323

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 11 × 1847

Divisors: 1, 11, 1847, 20317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111101011101

Octal: 47535

Duodecimal: B911

Hexadecimal: 4f5d

Square: 412780489

Square Root: 142.53771430747724

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=0..n-1 3^k*B(k)*C(n,k) where B(k) is the k-th Bernoulli number and C(n,k)=binomial(n,k). A83007

Glaisher's G numbers. A2111

Prime time numbers on 6-digit clocks: numbers of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60. A295014

Number of partitions p of n such that mean(p) = multiplicity(min(p)). A240205

Numerator of Bernoulli(n, 1/3). A157799

Number of forests of exactly n (unlabeled) ordered rooted trees with a total of 2n non-root nodes. A292668

Triangle read by rows T(n, k) = ∑_h>=0 Bernoulli(h)*binomial(n, h)*Stirling2(n-h, k)*k^h for n>=1 and 1<=k<=n. A339208

Number of (n+3) X 5 0..1 matrices with each 4 X 4 subblock idempotent. A224562

a(n) is the smallest nonnegative k such that there is no 3 X 3 matrix with entries in {1,...,n} whose determinant is k. A262719

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 289", based on the 5-celled von Neumann neighborhood. A271127