Properties of the Number 27411

Twenty-Seven Thousand Four Hundred Eleven

Basics

Value: 27410 → 27411 → 27412

Parity: odd

Prime: No

Previous Prime: 27409

Next Prime: 27427

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 9137

Divisors: 1, 3, 9137, 27411

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100010011

Octal: 65423

Duodecimal: 13A43

Hexadecimal: 6b13

Square: 751362921

Square Root: 165.56267695347282

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 nXk binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A268766

Solution of the complementary equation a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4) + b(n-3), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4, b(0) = 5, b(1) = 6, b(2) = 7, b(3) = 8, and (a(n)) and (b(n)) are increasing complementary sequences. A295621

a(n) = (a(n-1) + a(n-3))/2^m, where 2^m is the highest power of 2 that divides both a(n-1) and a(n-3), with a(0) = a(1) = a(2) = 1. A341313

Records in A104883. A104884

Number of n X 3 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A268761

Composite numbers k such that φ(x) = ψ(k)*φ(k) has no solution. A292714

Sum of heights of all 2-watermelons with wall of length 2·n. A136440

Numbers k such that (38·10^k + 187)/9 is prime. A295631

Number of labeled servers of dimension 24. A27411

Number of 3Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281767