Properties of the Number 5348

Five Thousand Three Hundred Forty-Eight

Basics

Value: 5347 → 5348 → 5349

Parity: even

Prime: No

Previous Prime: 5347

Next Prime: 5351

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 191

Divisors: 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011100100

Octal: 12344

Duodecimal: 3118

Hexadecimal: 14e4

Square: 28601104

Square Root: 73.13002119512889

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

Number of integer partitions of 2n with reverse-alternating sum -2. A344741

Numbers m such that there are precisely 9 groups of order m. A249552

Numbers k such that k | sigma₅(k). A55709

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207488

Index of 2ⁿ in A109812. A305370

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically. A207391

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically. A207885

Expansion of ∏_k>=1 1/(1 - x^2·k+1)^k. A263150

Expansion of ∏_k=1..8 theta₃(q^k), where theta₃() is the Jacobi θ function. A320234

Triangular array read by rows: T(n,k) is the number of partial permutations of {1,2,...,n} that have exactly k cycles, 0<=k<=n. A216294