Properties of the Number 56609

Fifty-Six Thousand Six Hundred Nine

Basics

Value: 56608 → 56609 → 56610

Parity: odd

Prime: No

Previous Prime: 56599

Next Prime: 56611

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 8087

Divisors: 1, 7, 8087, 56609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110100100001

Octal: 156441

Duodecimal: 28915

Hexadecimal: dd21

Square: 3204578881

Square Root: 237.92645922637524

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 length n 0..6 arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244901

Number of length 6 0..n arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244909

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244903

Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors. A282993

a(n) = rad(n!)/rad(A001142(n)) where rad(n) is the squarefree kernel of n, A007947(n). A56609

The sequence lists the least prime numbers, in ascending order, such that each of them can be written, in a unique way, in the form x² + h·y², where x, y are natural numbers, while h takes all the values of the sequences A000926 (Idoneal numbers) and A003173 (Heegner numbers). See example. A340133