Properties of the Number 91371

Ninety-One Thousand Three Hundred Seventy-One

Basics

Value: 91370 → 91371 → 91372

Parity: odd

Prime: No

Previous Prime: 91369

Next Prime: 91373

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 19 × 229

Divisors: 1, 3, 7, 19, 21, 57, 133, 229, 399, 687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110010011101011

Octal: 262353

Duodecimal: 44A63

Hexadecimal: 164eb

Square: 8348659641

Square Root: 302.27636361449106

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 read by rows: T(0,0)=1; for n >= 1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n). A123967

Triangle of coefficients of Chebyshev's S(n,x+5) polynomials (exponents of·in increasing order). A207824

Number of vertices in an equilateral triangle "frame" of size n (see Comments in A328526 for definition). A333031

G.f. satisfies: A(x) = (1 + x*(3-x)*A(x)) * (1 + x²*A(x)). A216454

Structured pentagonal icositetrahedral numbers (vertex structure 10). A100168

Numbers k such that k² +- k +- 1 is prime for all four possibilities. A236056

Triangle T(n,k) read by rows: coefficient of [x^k] of the polynomial p_n(x)=(5-x)*p_n-1(x)-p_n-2(x), p₀=1, p₁=5-x. A179900

Smallest prime factor of n - number of prime factors of n with multiplicity. A91371