Properties of the Number 13343

Thirteen Thousand Three Hundred Forty-Three

Basics

Value: 13342 → 13343 → 13344

Parity: odd

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 11 × 1213

Divisors: 1, 11, 1213, 13343

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010000011111

Octal: 32037

Duodecimal: 787B

Hexadecimal: 341f

Square: 178035649

Square Root: 115.51190414844697

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

Values of n such that L(20) and N(20) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227523

Numbers k such that k² contains exactly 9 different digits. A54037

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. A111045

Number of ways to write n as a nonnegative linear combination of a strict integer partition. A365002

Molien series for A₉. A8632

Number of nondecreasing arrangements of 8 numbers x(i) in -(n+6)..(n+6) with the sum of sign(x(i))*x(i)² zero. A188008

a(1) = 2, a(2) = 3; thereafter a(n) = a(n-1) + a(|n-a(T)|), where a(T) is the largest term in the sequence before a(n) such that 0 < |n-a(T)| < n. A271063

Number of distinct hook length sets of partitions of n. A301512

a(n) = A078398(n+1)/A078398(n). A78399

Smallest k such that 39^k mod k = n. A178200