Properties of the Number 13169

Thirteen Thousand One Hundred Sixty-Nine

Basics

Value: 13168 → 13169 → 13170

Parity: odd

Prime: No

Previous Prime: 13163

Next Prime: 13171

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 1013

Divisors: 1, 13, 1013, 13169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101110001

Octal: 31561

Duodecimal: 7755

Hexadecimal: 3371

Square: 173422561

Square Root: 114.75626344561765

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) is the decimal concatenation of n and n². A53061

T(n,k) = 1/16 the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. A183738

Expansion of ∏_k>=1 ((1 + x^4·k) / (1 - x^k))^k. A285460

Numbers k such that x^k + x⁸ + 1 is irreducible over GF(2). A57478

a(n) = A000265(3*(a(n-1) + a(n-2))/2 + 1) starting at a(1)=1, a(2)=11. A124139

1/16 the number of (n+1) X 3 0..7 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. A183731

Number of length n 1..(2+2) arrays with no leading or trailing partial sum equal to a prime. A254198

1/16 the number of (n+1) X 4 0..7 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. A183732

Number of strings of numbers x(i=1..7) in 0..n with sum i·x(i)³ equal to 7·n³. A184724

Number of 0..5 arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0. A221680