Properties of the Number 27740

Twenty-Seven Thousand Seven Hundred Forty

Basics

Value: 27739 → 27740 → 27741

Parity: even

Prime: No

Previous Prime: 27739

Next Prime: 27743

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 19 × 73

Divisors: 1, 2, 4, 5, 10, 19, 20, 38, 73, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110001011100

Octal: 66134

Duodecimal: 14078

Hexadecimal: 6c5c

Square: 769507600

Square Root: 166.55329477377504

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

T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two. A249001

Antidiagonal sums of array A162997. A162998

Number of n-node rooted trees in which five equals the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root. A318901

The Gegenbauer Polynomial of index n, order 1, evaluated at x=1/3 and multiplied by n·3ⁿ/2. A25173

Number of length n+4 0..7 arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two. A249000

Number of length 1+4 0..n arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two. A249002

Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of·with Ceiling[Log[x]] radius equals 6. A96517

G.f. A(x) satisfies the condition that both A(x) and F(x) = A(x·F(x)²) have zeros for every other coefficient after initial terms; dual sequence A157302 satisfies the same condition. A157305

Number of independent subsets of nodes in graph formed from n-fold subdivision of triangle. A27740