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Properties of the Number 13814

Thirteen Thousand Eight Hundred Fourteen

Basics

Value: 13813 → 13814 → 13815

Parity: even

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 6907

Divisors: 1, 2, 6907, 13814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010111110110

Octal: 32766

Duodecimal: 7BB2

Hexadecimal: 35f6

Square: 190826596

Square Root: 117.53297409663384

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

T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having four times some element equal to the sum of the remaining four. A249656
T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A188105
Maximal permanent of an n X n symmetric Toeplitz matrix using the first n prime numbers. A351022
T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7. A264837
a(n) = 24·A138879(n) - A187219(n). A183012
Number of (n+3) X 4 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. A188097
Number of (n+3) X 9 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. A188102
Number of length 2+4 0..n arrays with every five consecutive terms having four times some element equal to the sum of the remaining four. A249658
Rounded value of z(n)*prime(n), where z(n) = imaginary part of n-th nontrivial zero of the ζ function and prime(n) = n-th prime. A342756
Indices k at which either the leading digit or the length of A121805(k) changes. A367358