Properties of the Number 40008

Forty Thousand Eight

Basics

Value: 40007 → 40008 → 40009

Parity: even

Prime: No

Previous Prime: 39989

Next Prime: 40009

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 1667

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1667, 3334

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110001001000

Octal: 116110

Duodecimal: 1B1A0

Hexadecimal: 9c48

Square: 1600640064

Square Root: 200.0199990001

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

Triangle read by rows, coefficients of the polynomials P(k, x) = (1/2) ∑_p=0..k-1 Stirling2(k, p+1)*x^p*(1-4·x)^k-1-p*(2·p+2)!/(p+1)!. A142963

Irregular table read by rows: Take a diagonal-edged (or diamond-shaped) checkerboard with all diagonals drawn, as in A333434. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A333458

Numbers whose palindromization is a perfect power. A342942

a(n) = 64·n² + 8. A158488

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 50. A31728

Total number of triangles in all polyiamonds with n triangles. A96361

Numbers k such that k and k² use only the digits 0, 1, 4, 6 and 8. A136861

Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive). A74814

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and having sum of the heights of its pyramids equal to k (a pyramid is a sequence u^pd^p or U^pd^2p for some positive integer p, starting at the x-axis; p is the height of the pyramid). A109157

Continued fraction for sqrt(12). A40008