Properties of the Number 13413

Thirteen Thousand Four Hundred Thirteen

Basics

Value: 13412 → 13413 → 13414

Parity: odd

Prime: No

Previous Prime: 13411

Next Prime: 13417

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 263

Divisors: 1, 3, 17, 51, 263, 789, 4471, 13413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001100101

Octal: 32145

Duodecimal: 7919

Hexadecimal: 3465

Square: 179908569

Square Root: 115.81450686334593

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

Third diagonal sequence of the Sheffer triangle A094816 (special Charlier). A290312

Number of polyhedral orientations with n inner vertices. A377922

Numerators of continued fraction convergents to sqrt(768). A42480

Number of tilings of a 2 X n rectangle using monominoes and trominoes of any shape. A270062

Number of tilings of a 9 X n rectangle using monominoes and trominoes of any shape. A270069

a(0) = 0, a(n) = smallest composite k such that φ(k + 2ⁿ) = φ(k) + 2ⁿ; also cototient(k + 2ⁿ) = cototient(k). A63104

Numbers k such that (302·10^k + 13)/9 is prime. A281144

a(n) = |{0 < k < n: 2^k - 1 + q(n-k) is prime}|, where q(.) is the strict partition function (A000009). A233390

Irregular triangle read by rows: T(n,k) = A109395(n)*k-A076512(n)*A038566(n,k). A308121

Number of (n+2)X5 binary arrays avoiding patterns 001 and 100 in rows, columns and nw-to-se diagonals. A202586