Properties of the Number 17726

Seventeen Thousand Seven Hundred Twenty-Six

Basics

Value: 17725 → 17726 → 17727

Parity: even

Prime: No

Previous Prime: 17713

Next Prime: 17729

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 8863

Divisors: 1, 2, 8863, 17726

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010100111110

Octal: 42476

Duodecimal: A312

Hexadecimal: 453e

Square: 314211076

Square Root: 133.13902508280583

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

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

Expansion of 1/(1 - x - x⁶ - x¹¹ + x¹²). A175773

Indices of primes in the tribonacci-like sequence, A020992. A233554

"Ceiling of hypotenuses": a(n) = ceiling(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104805

G.f.: 1 + ∑_n>=1 a(n)*xⁿ/(1 - xⁿ) = ∏_n>=1 (1 + xⁿ)/(1 - xⁿ). A300274

Row sums of triangle A091492. A91493

a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 4. A7309

Expansion of (1-4x)/(1-x²+x³). A117379

Triangle T(n,k): the coefficient of [tⁿ] [x^k] of 2ⁿ⁺⁵ *n! *exp(t*(1+t)*x) / (3+exp(t*(1+t))). A178603

Generalized Riordan array based on the binomial transform of the Fine's numbers A000957. A187914