Properties of the Number 34017

Thirty-Four Thousand Seventeen

Basics

Value: 34016 → 34017 → 34018

Parity: odd

Prime: No

Previous Prime: 33997

Next Prime: 34019

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 23 × 29

Divisors: 1, 3, 17, 23, 29, 51, 69, 87, 391, 493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011100001

Octal: 102341

Duodecimal: 17829

Hexadecimal: 84e1

Square: 1157156289

Square Root: 184.43698110736904

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316282

Number of length 2+2 0..n arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253130

Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316277

Number of nX6 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316280

Triangle read by rows: T(n,m) = ∑_k=m+1..n (n-1)!/(k-1)!*binomial(2·n-k-1, n-1)*E(k,m) where E(n,m) is Euler's triangle A173018, T(0,0) = 1, n >= m >= 0. A316773

Numbers that are primitively represented by x² + xy + y². A34017

Position of first occurrence of n in the continued fraction for the Euler-Mascheroni constant (γ). A224847