Properties of the Number 34717

Thirty-Four Thousand Seven Hundred Seventeen

Basics

Value: 34716 → 34717 → 34718

Parity: odd

Prime: No

Previous Prime: 34703

Next Prime: 34721

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 149 × 233

Divisors: 1, 149, 233, 34717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011110011101

Octal: 103635

Duodecimal: 18111

Hexadecimal: 879d

Square: 1205270089

Square Root: 186.3249849054066

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, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = k if k <= floor(n/2) otherwise n-k, and m = 2, read by rows. A157211

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,1,1,1 for x=0,1,2,3,4. A197409

Constant term in the reduction by (x³ -> x + 1) of the polynomial F(n+1)*xⁿ, where F(n)=A000045 (Fibonacci sequence). A192911

Denominators of continued fraction convergents to sqrt(590). A42131

Pisot sequence L(8,9). A48590

Quadruple lucky numbers (lower terms). Numbers n such that n, n+2, n+6, n+8 are all Lucky numbers. A139783

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,1,1,1 for x=0,1,2,3,4. A197404

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,1,1,1 for x=0,1,2,3,4. A197408

Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal. A255718

Counterexamples to the conjecture that an even, prime-indexed triangular plus 1 equals a prime or that an odd, prime-indexed triangular minus 2 equals a prime. A97785