Properties of the Number 32191

Thirty-Two Thousand One Hundred Ninety-One

Basics

Value: 32190 → 32191 → 32192

Parity: odd

Prime: Yes

Previous Prime: 32189

Next Prime: 32203

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 32191

Divisors: 1, 32191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110110111111

Octal: 76677

Duodecimal: 16767

Hexadecimal: 7dbf

Square: 1036260481

Square Root: 179.41850517714164

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

Sixth term of strong prime sextets: p(m-4)-p(m-5) > p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1). A54818

Consider all ways of writing a number as p+2m² where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number. A16067

Matrix inverse of triangle A107862. A107865

Primes that remain prime through 4 iterations of function f(x) = 9x + 2. A23324

Triangle where T(n,k) = -n!/(n-k)!*[x^k] ( x/log(1-x-x²) )ⁿ⁺¹, for n>=k>=0, read by rows. A118793

Number of ways of tiling a 2 X n rectangle with dominoes and trominoes. A19439

Triangle where T(n,k) = -n!*[x^k] ( x/log(1-x-x²) )ⁿ⁺¹, for n>=k>=0, read by rows. A118791

Records in A034694. A120856

Smallest prime p = n·m + 1 that divides m^m - 1 for some m > 1. A125556

Expansion of e.g.f. (exp(x)-1)*(exp(x) - x³/6 - x²/2 - x - 1). A342379