Properties of the Number 27564

Twenty-Seven Thousand Five Hundred Sixty-Four

Basics

Value: 27563 → 27564 → 27565

Parity: even

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2297

Divisors: 1, 2, 3, 4, 6, 12, 2297, 4594, 6891, 9188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110101100

Octal: 65654

Duodecimal: 13B50

Hexadecimal: 6bac

Square: 759774096

Square Root: 166.02409463689298

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

Indices of primes in A100683. A232543

Triangle of coefficients of polynomials v(n,x) jointly generated with A209773; see the Formula section. A209776

Number of partitions of n having standard deviation σ > 5. A238657

Indices of records in A307730. A348449

Record values in A046641. A145771

Number of nX1 0..5 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200895

Numbers n such that n·2²²⁸¹ - 1 is prime. A265504

a(n) is the sum of the cubed areas under Motzkin paths of length n. A367779

Numbers not of form abcd + abce + abde + acde + bcde for 1 <= a <= b <= c <= d <= e. A27564

Values y for infinite sequence x³ - y² = d with increasing coefficient r = sqrt(x)/|d| or family of solutions Mordell curve with extension sqrt(2). A200937