Properties of the Number 26422

Twenty-Six Thousand Four Hundred Twenty-Two

Basics

Value: 26421 → 26422 → 26423

Parity: even

Prime: No

Previous Prime: 26417

Next Prime: 26423

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 1201

Divisors: 1, 2, 11, 22, 1201, 2402, 13211, 26422

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011100110110

Octal: 63466

Duodecimal: 1335A

Hexadecimal: 6736

Square: 698122084

Square Root: 162.5484543143982

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

Number of inverse semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator). A1428

Total number of nodes summed over all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}. A333106

Number of binary sequences of length n having a conjugate at Hamming distance 2. A179674

Arises in covering a graph by forests and a matching. A179259

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 0,1,1,0,0 for x=0,1,2,3,4. A197313

Sphenic numbers k = p·q*r such that reversal(k) is also a sphenic number and reversal(k) = reversal(p)*reversal(q)*reversal(r). A242726

G.f.: ∑_n=-oo..+oo x^n² * C(x)^6·n-9, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A356779

Numbers m such that φ(m)=(d₁+d₂+...+d_k)*(d₁!+d₂!+...+d_k!) where d₁ d₂...d_k is the decimal expansion of m. A107119

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 0,1,1,0,0 for x=0,1,2,3,4. A197317

a(n) = least positive integer > a(n-1) and not a(i)*a(j) for 1 <= i <= j < n. A26422