Properties of the Number 26195

Twenty-Six Thousand One Hundred Ninety-Five

Basics

Value: 26194 → 26195 → 26196

Parity: odd

Prime: No

Previous Prime: 26189

Next Prime: 26203

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 13 ² × 31

Divisors: 1, 5, 13, 31, 65, 155, 169, 403, 845, 2015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110011001010011

Octal: 63123

Duodecimal: 131AB

Hexadecimal: 6653

Square: 686178025

Square Root: 161.8486947738535

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

Expansion of 1/(1 - 3·x + x²)². A1871

A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers). A125662

Triangle of coefficients of Chebyshev's S(n,x-3) polynomials (exponents of·in increasing order). A207815

Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^k in the polynomial (-1)ⁿ*p(n,x), where p(n,x) is the characteristic polynomial of the n X n tridiagonal matrix with 3's on the main diagonal and -1's on the super- and subdiagonal (n >= 1; 0 <= k <= n). A123965

Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)ⁿ⁺¹*p(n, x)/x, p(n, x) = x·D( p(n-1, x) ), with p(1, x) = x/(1-x)², p(2, x) = x*(1+x)/(1-x)³, and p(3, x) = x*(1+8·x+x²)/(1-x)⁴, read by rows. A166340

Number of 0's in even position in all Fibonacci binary words of length n. A Fibonacci binary word is a binary word having no 00 subword. A129722

Irregular triangle read by rows: T(n,k) is the number of unlabeled n-vertex hypergraphs (or set systems) with k hyperedges (none of which is empty), 0 <= k <= 2ⁿ-1. A371830

Denominators of continued fraction convergents to sqrt(743). A42431

a(n) = n⁴ - n³ - n². A132998

Triangle read by rows: T(n,k) is the number of ternary words (i.e., finite sequences of 0's, 1's and 2's) of length n having k occurrences of 01's (0 <= k <= floor(n/2)). A181371