Properties of the Number 41768

Forty-One Thousand Seven Hundred Sixty-Eight

Basics

Value: 41767 → 41768 → 41769

Parity: even

Prime: No

Previous Prime: 41761

Next Prime: 41771

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 23 × 227

Divisors: 1, 2, 4, 8, 23, 46, 92, 184, 227, 454

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001100101000

Octal: 121450

Duodecimal: 20208

Hexadecimal: a328

Square: 1744565824

Square Root: 204.3722094610713

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

Brent's irregular triangle T[r,k] related to Hardy-Littlewood constants of prime gaps 2r. A381083

Triangle T(n,c) counting Motzkin Paths of length n with c sections starting with an up-step at level 0. A348869

Triangle read by rows: expansion of ∑_k=0..n binomial(n, k)*(∏_j=0..n-k+1 (x + i)) * (-1)^k * x^k-1. A174789

p-INVERT of (1,1,0,0,0,0,...), where p(S) = (1 - S²)(1 - S)². A291409

Numbers k such that sopfr(k) = τ(k)². A305026

Numbers k such that k², (k+1)² and (k+2)² are all abundant numbers. A383391

Series expansion for mean-squared radius of gyration of convex polygons on square lattice. A121777

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252143

a(n) = number of new distinct proper angles with vertex and legs on grid points in an n X n square grid that were not found in an (n-1) X (n-1) square grid. A252592

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148