Properties of the Number 10814

Ten Thousand Eight Hundred Fourteen

Basics

Value: 10813 → 10814 → 10815

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5407

Divisors: 1, 2, 5407, 10814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000111110

Octal: 25076

Duodecimal: 6312

Hexadecimal: 2a3e

Square: 116942596

Square Root: 103.99038417084533

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

G.f. satisfies: A(x)² = A(x²)² + 4·x. A223142

Representation degeneracies for boson strings. A5290

Numbers n such that Q(sqrt(n)) has class number 9. A218041

Length of n-th iterate of the mapping 00->0010, 01->100, 10->011 in A289165. A289177

Least m>0 such that prime(n) divides S(m)=A007908(m)=123...m and all numbers obtained by cyclic permutations of its digits; 0 if no such m exists. A181373

Sum of the heights of the first peaks in all dispersed Dyck paths of length n (i.e., in Motzkin paths of length n with no (1,0)-steps at positive heights). A191307

Coordination sequence for MgZn2, Position Zn2. A9938

Smallest m such that A258062(m) = n. A258063

Number of n X 5 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280437

Sum of the prime numbers appearing along the border of an n X n square array whose elements are the numbers from 1..n², listed in increasing order by rows. A344846