Properties of the Number 27184

Twenty-Seven Thousand One Hundred Eighty-Four

Basics

Value: 27183 → 27184 → 27185

Parity: even

Prime: No

Previous Prime: 27179

Next Prime: 27191

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 1699

Divisors: 1, 2, 4, 8, 16, 1699, 3398, 6796, 13592, 27184

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101000110000

Octal: 65060

Duodecimal: 13894

Hexadecimal: 6a30

Square: 738969856

Square Root: 164.8757107641996

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

Numbers n such that T(n) + T(n+1) + ... + T(n+26) is a square, where T = A000217 (triangular numbers). A257709

Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and every three consecutive elements having its maximum within 3 of its minimum. A263690

Square array T(n, k) read by rising antidiagonals. Row n has the ordinary generating function (-(n·x³-(n+1)*x²+x) + sqrt((n·x³-(n+1)*x²+x)² - 4*(x³-x²)*((n+1)*x²-x)))/(2*(x³-x²)). A377441

Row sums of triangle defined in A113820. A160968

Numbers k such that gcd(2·k⁷+1, 3·k³+2) > 1. A369153

E.g.f.: exp(7·x*G(x)⁶) / G(x)⁶ where G(x) = 1 + x·G(x)⁷ is the g.f. of A002296. A251577

Number of n X 4 0..1 arrays with every element unequal to 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304955

a(n) = (1/2)*(n-th largest even number in array T given by A027170). A27184