Properties of the Number 34096

Thirty-Four Thousand Ninety-Six

Basics

Value: 34095 → 34096 → 34097

Parity: even

Prime: No

Previous Prime: 34061

Next Prime: 34123

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 2131

Divisors: 1, 2, 4, 8, 16, 2131, 4262, 8524, 17048, 34096

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010100110000

Octal: 102460

Duodecimal: 17894

Hexadecimal: 8530

Square: 1162537216

Square Root: 184.65102220134065

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

a(n) = numerator of (ζ(2, 1/4) - ζ(2, n+1/4)), where ζ is the Hurwitz ζ function. A173947

T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors. A209100

Pisot sequence P(4,11), a(0)=4, a(1)=11, a(n+1) is the nearest integer to a(n)²/a(n-1). Evidently satisfies a(n) = 2·a(n-1)+2·a(n-2). A21006

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280673

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

Expansion of ∏_k>=1 (1 + x^3·k-2)^3·k-2. A262949

Triangle read by rows: coefficients d(n,k) of André polynomials D(x,n) = ∑_k>0 d(n,k)*x^k. A94503

Row sums of triangle A093628, in which the diagonals are equal to the Euler transform of the rows. A93629

Number of n X 2 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors. A209094

Triangle read by rows: number of simsun n-permutations with k descents. A113897