Properties of the Number 17116

Seventeen Thousand One Hundred Sixteen

Basics

Value: 17115 → 17116 → 17117

Parity: even

Prime: No

Previous Prime: 17107

Next Prime: 17117

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 389

Divisors: 1, 2, 4, 11, 22, 44, 389, 778, 1556, 4279

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100001011011100

Octal: 41334

Duodecimal: 9AA4

Hexadecimal: 42dc

Square: 292957456

Square Root: 130.82813153141032

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

Sum of the sizes of the Durfee squares of all partitions of n. A115995

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 0, 1, 1, 0. A25250

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals. A202898

Expansion of e.g.f. (1/6!)*sin⁶(x)/cos(x) (coefficients of even powers only). A278195

Expansion of 1/( ∏_k=0..6 (1 - (7·k+1) * x) )^1/7. A383630

Expansion of g.f.: sqrt(1+6·x+x²). A109771

Expansion of 1 - x*(1+x)/(1 + x²*(1-x²)/(1 - x³*(1+x³)/(1 + x⁴*(1-x⁴)/(1 - x⁵*(1+x⁵)/(1 - ...))))), a continued fraction. A291200

Positive integers that have exactly ten representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes. A317400

Numbers n such that there exists at least one number j and π(m) = d₁ d₂ ... d_j*d_j+1 d_j+2 ... d_k where d₁ d₂ ...d_k is the decimal expansion of n. A112012

Number of (n+2)X5 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals. A202893