Properties of the Number 8042

Eight Thousand Forty-Two

Basics

Value: 8041 → 8042 → 8043

Parity: even

Prime: No

Previous Prime: 8039

Next Prime: 8053

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 4021

Divisors: 1, 2, 4021, 8042

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101101010

Octal: 17552

Duodecimal: 47A2

Hexadecimal: 1f6a

Square: 64673764

Square Root: 89.67719888578144

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

Expansion of g.f.: (1 + x)/(1 - 3·x - 2·x²). A55099

Number of partitions of n such that the least part occurs exactly twice. A96373

a(n) = ∑_k=1..n φ(k)². A57434

T(n,k) = Number of n X k binary matrices with no 2 X 2 circuit having pattern 0101 in any orientation. A181245

T(n,k)=Number of 0..k arrays of length n+1 with 0 never adjacent to k. A212835

Number A(n,k) of partitions of n with k sorts of part 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A292741

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A296635

Number A(n,k) of 2-colorings of a k X n rectangle such that no nontrivial subsquare has monochromatic corners; square array A(n,k), n>=0, k>=0, read by antidiagonals. A255256

Expansion of x⁴*(1-x-x²)/((1+x)*(1-2·x)*(1-x-2·x²)). A219754

Triangle read by rows T(n,k) = the number of Dyck paths of semilength n with k UUDDU's, 0<=k<=[(n-1)/2]. A114848