Properties of the Number 9867

Nine Thousand Eight Hundred Sixty-Seven

Basics

Value: 9866 → 9867 → 9868

Parity: odd

Prime: No

Previous Prime: 9859

Next Prime: 9871

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 13 × 23

Divisors: 1, 3, 11, 13, 23, 33, 39, 69, 143, 253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011010001011

Octal: 23213

Duodecimal: 5863

Hexadecimal: 268b

Square: 97357689

Square Root: 99.3327740476425

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

a(n) = binomial(n+6,6)*(2n+7)/7. A50486

Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p. A324315

a(n) = C(n)*(3n+2) where C(n) = Catalan numbers = A000108. A51960

One third of deca-factorial numbers. A35272

G.f.: ∑_n=-oo..+oo x^n*(n+1/2) * C(x)^2·n-1, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A355345

Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) has height 5. A152943

a(n) = n*(n+1)*(5·n+7)/6. A162148

Expansion of g.f.: (1+4·x)/(1-x)⁷. A51946

Numbers k such that the digits of k², reversed, include the digits of k as a substring. A115761

Square array A(r,c) = A019565(A277820(r,c)), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. A277810