Properties of the Number 13344

Thirteen Thousand Three Hundred Forty-Four

Basics

Value: 13343 → 13344 → 13345

Parity: even

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 139

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000100000

Octal: 32040

Duodecimal: 7880

Hexadecimal: 3420

Square: 178062336

Square Root: 115.51623262554921

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) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two counterclockwise and two clockwise edge increases. A206094

McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B). A7258

McKay-Thompson series of class 36D for the Monster simple group. A58647

McKay-Thompson series of class 6E for the Monster group with a(0) = 3. A105559

McKay-Thompson series of class 6E for the Monster group with a(0) = 4. A128633

T(n,k)=Number of arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others. A183892

McKay-Thompson series of class 18C for the Monster group with a(0) = -3. A123676

Expansion of χ(-q³) / χ³(-q) in powers of q where χ() is a Ramanujan θ function. A128128

McKay-Thompson series of class 6E for the Monster group with a(0) = -5. A128632

Expansion of χ(q)³ / χ(q³) in powers of q where χ() is a Ramanujan θ function. A132972