Properties of the Number 40504

Forty Thousand Five Hundred Four

Basics

Value: 40503 → 40504 → 40505

Parity: even

Prime: No

Previous Prime: 40499

Next Prime: 40507

Digit Sum: 13

Digital Root: 4

Palindrome: Yes

Factorization: 2 ³ × 61 × 83

Divisors: 1, 2, 4, 8, 61, 83, 122, 166, 244, 332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111000111000

Octal: 117070

Duodecimal: 1B534

Hexadecimal: 9e38

Square: 1640574016

Square Root: 201.2560558095085

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

Palindromic in bases 10 and 11. A29966

T(n,k)=Number of nXk 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order. A241138

G.f. A(x,y) satisfies: A(x,y) = x * (1 + y·A(x,y)*A'(x,y)) / (1 + A(x,y)*A'(x,y)), where A'(x,y) = d/dx A(x,y). A301930

a(n) = smallest palindrome > a(n-1) such that a(1)*a(2)*...*a(n) - 1 is a prime. A51954

Least integer k such that k/2ⁿ > 1/φ, where φ = (1+sqrt(5))/2 = golden ratio. A293323

a(0)=a(1)=1, a(2)=3, thereafter a(n) = n·a(n-1)+(n-1)*(n-2)*a(n-2). A291287

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones. A31803

Palindromes that start with 4. A43039

Number of nX3 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order. A241134

p(11p-7) where p is prime. A98998