Properties of the Number 13195

Thirteen Thousand One Hundred Ninety-Five

Basics

Value: 13194 → 13195 → 13196

Parity: odd

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 13 × 29

Divisors: 1, 5, 7, 13, 29, 35, 65, 91, 145, 203

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001110001011

Octal: 31613

Duodecimal: 7777

Hexadecimal: 338b

Square: 174108025

Square Root: 114.86949116279744

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) = 4·A046802(n,k) - 2·A008518(n,k) - A007318(n,k), triangle read by rows (0 <= k <= n). A168291

Absolute value of coefficient of term [x^n-6] in characteristic polynomial of maximum matrix A of size n X n, where n >= 6. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n. A112462

a(n) = (n-3)*A006918(n-2)/2 for n >= 2, with a(0) = a(1) = 0. A38376

Composite numbers k with no prime factor among (2, 3) (cf. A038509) and such that φ(k) < 2·k/3. A69043

Coefficient of·in the reduction by (x² -> x + 1) of the polynomial p(n,x) given in Comments. A192875

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * ∑_k=0..n x^k * {[x^k] A(x)^3·n}. A249936

a(n) = (1/24)*n*(n - 1)*(n - 3)*(n - 14). A319930

Expansion of ∏_k>=1 (1-x^k)²⁹. A10834

a(n) in base 12 is a repdigit. A48336

Number of 1..n integer arrays v[1..9] of length 9 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..8. A171346