Properties of the Number 3092

Three Thousand Ninety-Two

Basics

Value: 3091 → 3092 → 3093

Parity: even

Prime: No

Previous Prime: 3089

Next Prime: 3109

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 773

Divisors: 1, 2, 4, 773, 1546, 3092

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000010100

Octal: 6024

Duodecimal: 1958

Hexadecimal: c14

Square: 9560464

Square Root: 55.60575509783138

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

Coordination sequence for "reo" 3D uniform tiling. A299279

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 9 as largest digit. A256709

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways. A954

Numbers k such that 9^k - 2 is a prime. A128455

T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly three counterclockwise and three clockwise edge increases. A206137

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251876

Solution to 1 = Sum_y ∏_{k in y} a(k) for each n > 0, where the sum is over all integer partitions of n with an odd number of parts. A300862