Properties of the Number 67904

Sixty-Seven Thousand Nine Hundred Four

Basics

Value: 67903 → 67904 → 67905

Parity: even

Prime: No

Previous Prime: 67901

Next Prime: 67927

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 1061

Divisors: 1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100101000000

Octal: 204500

Duodecimal: 33368

Hexadecimal: 10940

Square: 4610953216

Square Root: 260.5839595984373

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

G.f.: ∑_n>=0 xⁿ / ( (1+x)ⁿ⁺¹ * (1 - 2*(n+1)*x) ). A245373

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125). A204128

Expansion of x * φ(x) * ψ(x¹⁴) / (f(-x) * f(-x⁷)) in powers of·where φ(), ψ(), f() are Ramanujan θ functions. A193883

Self-convolution of A006125(n) = 2^n(n-1)/2. A136650

Regular triangle read by rows: T(n, k) = sum(i=0, n, sum(j=k, n, 3*(-1)^k+j*binomial(2·k,k)*binomial(j,i)*binomial(n,i)*binomial(i,n-j)/(2*(2·i-1)*(2·j+1)*(2·n-2·i-1)))). A262886

Primes of the form floor((3/2)^k). A67904

G.f.: A(x) = (1/x)*Series_Reversion( x/∑_k=0..n 2^[k(k-1)/2]*x^k ). A136654