Properties of the Number 5316

Five Thousand Three Hundred Sixteen

Basics

Value: 5315 → 5316 → 5317

Parity: even

Prime: No

Previous Prime: 5309

Next Prime: 5323

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 443

Divisors: 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011000100

Octal: 12304

Duodecimal: 30B0

Hexadecimal: 14c4

Square: 28259856

Square Root: 72.91090453423274

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

Q-toothpick sequence (see Comments for precise definition). A187210

T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254827

T(n,k)=Number of length n+5 0..k arrays with no disjoint triples in any consecutive six terms having the same sum. A247995

Numbers k such that k and k + 1 are both lazy-Lucas-Niven numbers (A351719). A351720

Numbers k such that φ(x) = k has exactly 7 solutions. A60670

Concatenation of n-th prime and n in decimal notation. A75110

Expansion of q * (ψ(q⁴) / φ(-q))² in powers of q where φ(), ψ() are Ramanujan θ functions. A107035

Expansion of ∏_m>=1 (1+x^m)¹². A22577

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234882

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252201