Properties of the Number 5344

Five Thousand Three Hundred Forty-Four

Basics

Value: 5343 → 5344 → 5345

Parity: even

Prime: No

Previous Prime: 5333

Next Prime: 5347

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 167

Divisors: 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011100000

Octal: 12340

Duodecimal: 3114

Hexadecimal: 14e0

Square: 28558336

Square Root: 73.10266752998827

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 subsets of {1..n} containing all of their pairwise sums <= n. A326083

Numbers n such that Bernoulli number B_n has denominator 510. A271634

Regular triangle read by rows: T(n,k) is the number of multiset partitions of normal multisets of size n into k blocks, where a multiset is normal if it spans an initial interval of positive integers. A317532

Powers of cube root of 5 rounded to nearest integer. A17989

Powers of cube root of 5 rounded up. A17990

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors. A187441

G.f.: ∏_k>=1 1/(1-x^k)^8·k. A193427

Automorphic numbers: n² ends with n in base 6 (written in base 6). A201821

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)). A234217