Properties of the Number 41117

Forty-One Thousand One Hundred Seventeen

Basics

Value: 41116 → 41117 → 41118

Parity: odd

Prime: Yes

Previous Prime: 41113

Next Prime: 41131

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 41117

Divisors: 1, 41117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000010011101

Octal: 120235

Duodecimal: 1B965

Hexadecimal: a09d

Square: 1690607689

Square Root: 202.7732724004818

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

Primes with either no internal digits or all internal digits are 1. A69676

Prime numbers containing the string 111. A243527

Primes obtained from other primes by prefixing a 4. A165444

a(n) is the next available entirely straight or curved number, depending on whether n contains a straight digit or not. A79064

Number of self-inverse permutations in S_n with longest increasing subsequence of length 4. A217324

Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits. A57879

Primes having primitive roots 2, 3, 5, 7, 11, and 13. A241047

Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17. A241048

a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0. A294615

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n² * Integral A(x)⁴ dx ) / A(x), for n > 0. A305143