Properties of the Number 5647

Five Thousand Six Hundred Forty-Seven

Basics

Value: 5646 → 5647 → 5648

Parity: odd

Prime: Yes

Previous Prime: 5641

Next Prime: 5651

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5647

Divisors: 1, 5647

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001111

Octal: 13017

Duodecimal: 3327

Hexadecimal: 160f

Square: 31888609

Square Root: 75.14652353901675

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

Initial members of prime 5-tuples (p, p+4, p+6, p+10, p+12). A22007

Initial members of prime triples (p, p+4, p+6). A22005

Primes p such that three (the maximum number) primes occur between p and p+12. A86140

Primes followed by a [4,2,4] prime difference pattern of A001223. A52378

Primes at which difference pattern X4242Y (X and Y >= 6) occurs in A001223. A52168

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239858

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240000

a(1) = 9; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74345

Class 6- primes (for definition see A005109). A81425

a(n) = prime(n*(n+1)/2 + 1). A78721