Properties of the Number 5688

Five Thousand Six Hundred Eighty-Eight

Basics

Value: 5687 → 5688 → 5689

Parity: even

Prime: No

Previous Prime: 5683

Next Prime: 5689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 79

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1011000111000

Octal: 13070

Duodecimal: 3360

Hexadecimal: 1638

Square: 32353344

Square Root: 75.41883053985921

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

G.f. satisfies: A(x) = 1 + x·A(x) + x³*A(x)³. A71879

Number of partitions of n into parts of sorts {1, 2, ... } which are introduced in ascending order. A258466

Shifts left under transform T where Ta is a DCONV a. A38044

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250783

Numbers k such that φ(x) = k has exactly 10 solutions. A60673

Triangle T(n,k), n>=1, 1<=k<=n, read by rows, where sequence a_k of column k begins with (k+1) 1's and a_k(n) shifts k places down under Dirichlet convolution. A144374

-6-Knödel numbers. A225510

Inflation orbit counts. A31367

a(n) = n²*(7·n - 5)/2. A262000