Properties of the Number 2992

Two Thousand Nine Hundred Ninety-Two

Basics

Value: 2991 → 2992 → 2993

Parity: even

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 22

Digital Root: 4

Palindrome: Yes

Factorization: 2 ⁴ × 11 × 17

Divisors: 1, 2, 4, 8, 11, 16, 17, 22, 34, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110110000

Octal: 5660

Duodecimal: 1894

Hexadecimal: bb0

Square: 8952064

Square Root: 54.699177324709375

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

a(n) = n*(n+1)*(2·n+1)/3. A6331

Expansion of (1+x²)/((1-x)²*(1-x²)²). A5993

Every run of digits of n in base 3 has length 2. A33001

Expansion of e.g.f.: LambertW(1-exp(x))/(1-exp(x)). A52880

Number of triangular regions in regular n-gon with all diagonals drawn. A62361

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

Square array of numbers A(n,k) (n>=0, k>=0) of transitive reflexive early confluent binary relations R on n labeled elements where |{y : xRy}| <= k for all x, read by antidiagonals. A135302

a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2). A23855

Palindromes with even number of digits. A56524

Horadam sequence (0,1,6,4). A85939