Properties of the Number 40006

Forty Thousand Six

Basics

Value: 40005 → 40006 → 40007

Parity: even

Prime: No

Previous Prime: 39989

Next Prime: 40009

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 83 × 241

Divisors: 1, 2, 83, 166, 241, 482, 20003, 40006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110001000110

Octal: 116106

Duodecimal: 1B19A

Hexadecimal: 9c46

Square: 1600480036

Square Root: 200.01499943754217

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

Expansion of 1/(1 - x - x⁸ - x¹⁵ + x¹⁶). A173925

G.f. A(x) satisfies: A(x) = 1 + x·A(x)⁶ / (1 + x). A349362

Least integer m > 0 with π(m·n) = σ(m), where σ(m) is the sum of all positive divisors of m. A247603

Equal divisions of the octave of decreasing eleven-limit Pepper ambiguity. A117557

Number of acute triangles, distinct up to congruence, on a centered hexagonal grid of size n. A241232

Centered pentagonal numbers which are products of three distinct primes. A364610

Take list of cubes, move left digit of each term to end of previous term. A32761

Let an integer with k+1 digits as n = d(k)*10^k + d(k-1)*10^k-1 + ... + d(0)*10⁰ and consider the transform T(n) = k·10^d(k) + (k-1)*10^d(k-1) + ... + 0·10^d(0). a(n) gives the fixed points of the transform T(n). A226767

a(n) = ∑_k=0..n (-1)^n-k * binomial(n-1,k-1) * binomial(n·k,k) / ((n-1)*k+1). A378410

Continued fraction for sqrt(10). A40006