Properties of the Number 17441

Seventeen Thousand Four Hundred Forty-One

Basics

Value: 17440 → 17441 → 17442

Parity: odd

Prime: No

Previous Prime: 17431

Next Prime: 17443

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 107 × 163

Divisors: 1, 107, 163, 17441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010000100001

Octal: 42041

Duodecimal: A115

Hexadecimal: 4421

Square: 304188481

Square Root: 132.06437824031127

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

Number of singular 2 X 2 matrices having all elements in {-n,...,n}. A209981

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -k..k vector equals n. A226422

Total number of Fibonacci parts in all partitions of n. A144115

A Wallis pair (x,y) satisfies σ(x²) = σ(y²); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x). A75769

Numbers n such that the digits of σ(n) are exactly the same (albeit in different order) as the digits of φ(n), in base 10. A175795

Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention. A389918

Triangle T(n,k), 1<=k<=n: column k are the coefficients of the INVERT transform of ∑_i=1..k i·xⁱ. A380886

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

Integer part of log(n!)^{1 + log(1 + log(1 + n})). A62445

Nearest integer to log(n!)^{1 + log(1 + log(1 + n})). A62446