Properties of the Number 41405

Forty-One Thousand Four Hundred Five

Basics

Value: 41404 → 41405 → 41406

Parity: odd

Prime: No

Previous Prime: 41399

Next Prime: 41411

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 ² × 13 ²

Divisors: 1, 5, 7, 13, 35, 49, 65, 91, 169, 245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010000110111101

Octal: 120675

Duodecimal: 1BB65

Hexadecimal: a1bd

Square: 1714374025

Square Root: 203.48218595248088

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

a(n) = binomial(n,3)*binomial(n-1,3)/4. A6542

Triangle read by rows: T(n,k) = generalized binomial coefficients (n,k)_11 (n >= 0, 0 <= k <= n). A342890

a(n) = n²*(n+1)²*(n+2)/12. A4302

a(n) = ∑_k=1..n-1 k²*σ(k)*σ(n-k). A477

G.f. A(x,y) satisfies: x·y*A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355360

Numbers that are multiple-digit narcissistic numbers in exactly four bases. A256363

Central terms of A355360; a(n) = A355360(2·n,n). A355365

The Gi1 and Gi2 sums of Losanitsch's triangle A034851. A192928

Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. A140935

a(n) = floor(n/2) * floor((n-1)/2) * floor((n-2)/2) * floor((n-3)/2) * floor((n-4)/2) / 12. A28725