Properties of the Number 9405

Nine Thousand Four Hundred Five

Basics

Value: 9404 → 9405 → 9406

Parity: odd

Prime: No

Previous Prime: 9403

Next Prime: 9413

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 11 × 19

Divisors: 1, 3, 5, 9, 11, 15, 19, 33, 45, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10010010111101

Octal: 22275

Duodecimal: 5539

Hexadecimal: 24bd

Square: 88454025

Square Root: 96.97937925146768

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

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order. A210086

Numbers n such that φ(n) = φ(n+7), with Euler's totient function φ = A000010. A179189

Expansion of ∑_k>0 x^3·k/(1-x^k)⁴. A363607

Fifth column of the (1,4)-Pascal triangle A095666. A95667

Odd numbers n such that 2n/σ(n) - 1 = 1/x for some positive integer x. A222263

Number of integer partitions of n whose LCM is less than n. A327781

Square array read by ascending antidiagonals, where row n lists numbers m such that ω(m) = n and the largest prime factor of m equals the sum of its remaining distinct prime factors, where ω(m) = A001221(m). A383726

Numbers k such that ω(k) = 4 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383728