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Properties of the Number 27874

Twenty-Seven Thousand Eight Hundred Seventy-Four

Basics

Value: 27873 → 27874 → 27875

Parity: even

Prime: No

Previous Prime: 27851

Next Prime: 27883

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 11 × 181

Divisors: 1, 2, 7, 11, 14, 22, 77, 154, 181, 362

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110011100010

Octal: 66342

Duodecimal: 1416A

Hexadecimal: 6ce2

Square: 776959876

Square Root: 166.95508378003947

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

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected, a path of 1's from upper left corner to lower right corner, and no 1 having more than two 1's adjacent. A391818
a(n) = C(n+2, 2) + C(n+2, 3) + C(n+2, 4) + C(n+2, 5). A27660
Number of reduced words of length n in the Weyl group E7 on 7 generators and order 2903040. A162493
Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p). A239954
Number of Catalan knight paths from (0,0) to (n,0) in the region between and on the lines y=0 and y=3. (See A096587 for the definition of Catalan knight.). A99328
Triangle of coefficients of polynomials u(n,x) jointly generated with A210601; see the Formula section. A210600
Number of n X 6 binary arrays with all 1s connected, a path of 1s from upper left corner to lower right corner, and no 1 having more than two 1s adjacent. A163689
Number of n X n binary arrays with all 1s connected, a path of 1s from upper left corner to lower right corner, and no 1 having more than two 1s adjacent. A163684
Number of incongruent domino tilings of the 3 X (2n) board. A232622
Number of partitions λ of n that satisfy gcd(lambdai, n-1) = 1 for all i and for which the lattice simplex δ(λ) is an antichain simplex. A323257