Properties of the Number 27124

Twenty-Seven Thousand One Hundred Twenty-Four

Basics

Value: 27123 → 27124 → 27125

Parity: even

Prime: No

Previous Prime: 27109

Next Prime: 27127

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 6781

Divisors: 1, 2, 4, 6781, 13562, 27124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111110100

Octal: 64764

Duodecimal: 13844

Hexadecimal: 69f4

Square: 735711376

Square Root: 164.69365500832143

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

Triangle, read by rows of n² terms, where row n equals the coefficients in the series reversion of the function G(y,n)-1 such that: y = ∑_m>=1 1/G(y,n)^2·n*m * ∏_k=1..m (1 - 1/G(y,n)^2·k-1). A214690

E.g.f. A(x) satisfies exp(A(x)) = x + exp(A(x)²) where A(0) = 0. A138014

Numbers k such that 21·2^k+1 is prime. A32360

Number of palstars of length 2n over an alphabet of size 2. A246019

Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero. A188250

Concatenate the terms of A027750 (omitting spaces and commas), chop into blocks of length 5, then omit any leading zeros. A362446

G.f. A(x) satisfies: x = ∑_n>=1 1/A(x)^10·n * ∏_k=1..n (1 - 1/A(x)^2·k-1). A214695

Number of (n+1)X3 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two, and every 2X2 determinant nonzero. A206312

a(n) = A027113(n, 2n-6). A27124