Properties of the Number 5711

Five Thousand Seven Hundred Eleven

Basics

Value: 5710 → 5711 → 5712

Parity: odd

Prime: Yes

Previous Prime: 5701

Next Prime: 5717

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5711

Divisors: 1, 5711

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001001111

Octal: 13117

Duodecimal: 337B

Hexadecimal: 164f

Square: 32615521

Square Root: 75.57115851963631

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

Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k. A33548

Smallest prime p of form p = 8k-1 such that first n primes (p₁=2, ..., p_n) are quadratic residues mod p. A2223

Primes which are concatenations of three consecutive primes. A30469

Primes of the form k² + k + 11. A48059

Square array A(x,y) = y-th odd number 2i+1 (i>=1) for which A112049(2i+1)=x, or 0 if no such i exists; read by descending antidiagonals. A112070

a(n) = pq + pr + qr with p = prime(n), q = prime(n+1), and r = prime(n+2). A127345

Numbers k such that (8^k + 7^k)/15 is prime. A181141

Least negative pseudosquare modulo the first n odd primes. A45535

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally. A188851

T(n,k)=Number of length n+4 0..k arrays with some pair in every consecutive five terms totalling exactly k. A246892