Properties of the Number 8967

Eight Thousand Nine Hundred Sixty-Seven

Basics

Value: 8966 → 8967 → 8968

Parity: odd

Prime: No

Previous Prime: 8963

Next Prime: 8969

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 61

Divisors: 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100000111

Octal: 21407

Duodecimal: 5233

Hexadecimal: 2307

Square: 80407089

Square Root: 94.69424480928078

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

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.3.4.3.4 2D tiling (cf. A219529). A299255

Sum of the largest parts of the partitions of n into 9 parts. A326473

Numbers k such that 4^k + 3 is prime. A89437

T(n,n+3), T given by A027960. A27963

a(n) = n * σ(A332818(n)). A389081

Constant term of the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192754

G.f.: A(x) = 1 + ∑_n>=1 x^n² * ((1-x)ⁿ + 1/(1-x)ⁿ). A197707

Number of palindromic partitions of n whose greatest part has multiplicity <= 4. A238787

Indices of zeros in A268819. A269157

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right). A61939