Properties of the Number 26117

Twenty-Six Thousand One Hundred Seventeen

Basics

Value: 26116 → 26117 → 26118

Parity: odd

Prime: No

Previous Prime: 26113

Next Prime: 26119

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 13 × 41

Divisors: 1, 7, 13, 41, 49, 91, 287, 533, 637, 2009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011000000101

Octal: 63005

Duodecimal: 13145

Hexadecimal: 6605

Square: 682097689

Square Root: 161.60754932861275

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 (w,x,y,z) with all terms in {1,...,n} and w·x < 2·y*z. A211795

Total number of parts in all partitions of n with designated summands. A388064

Let v = (1,4,9,...,n²), x = (0,1,2,4,6,...) [first n terms of A002620]; a(n) = v.v·x.x - (v.x)². A60452

<h[d,d],s[d,d]*s[d,d]*s[d,d]> where h[d,d] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions. A115375

a(n) = Pell(n)³ + Pell(n+1)³. A110273

Numbers of the form 49·k, where 49·k+2 and 49·k-6 are both prime. A153779

Numbers 41·k such that 41·k+2 and 41·k-6 are both prime. A153822

Triangle read by rows: T(n,k) (0 <= k <= n) = numerator of Integral_x=0..n binomial(x,k). A241186

Expansion of g.f. A(x) = ∏_n>=1 (1 + x^n-1 + x^2·n-1) * (1 + xⁿ + x^2·n-1) * (1 - xⁿ - x^2·n). A370541

Consider the line segment in Rⁿ from the origin to the point v = (1,4,9,...,n²); let d = squared distance to this line from the closest point of Zⁿ (excluding the endpoints). Sequence gives d times v.v. A60454