Properties of the Number 564

Five Hundred Sixty-Four

Basics

Value: 563 → 564 → 565

Parity: even

Prime: No

Previous Prime: 563

Next Prime: 569

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 47

Divisors: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100

Octal: 1064

Duodecimal: 3B0

Hexadecimal: 234

Square: 318096

Square Root: 23.748684174075834

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

a(n) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Number of primes <= 2ⁿ. A7053

a(n) = n*(4·n-1). A33991

Numbers m such that ∑_k=1..m (<1/2 + k·r> - <k·r>) = 0, where r=sqrt(2) and < > denotes fractional part. A194368

Numbers k such that the k-th composition in standard order is a permutation (of an initial interval). A333218

Numbers whose ternary expansion contains no 1's. A5823

Number of partitions of partitions of n where all partitions have the same sum. A305551

Multiples of 12. A8594

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

Numbers whose prime indices cannot be partitioned into constant blocks with distinct sums. A381636