Properties of the Number -303

Three Hundred Three

Basics

Value: -304 → -303 → -302

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 6

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 101

Divisors: 1, 3, 101, 303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100101111

Octal: -457

Duodecimal: -213

Hexadecimal: -12f

Square: 91809

Square Root: 17.406895185529212

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

Dirichlet convolution of A064413 (EKG-permutation) with the Dirichlet inverse of its inverse permutation. A349613

a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + ∑_{primes p with 3 <= p <= n} a(n-p). A2121

a(n) = -3·a(n-1) + a(n-3), with a(0)=0, a(1)=-3, a(2)=12. A215919

G.f.: x^{(k² + k}/2) / (∏_i=1..k (1 - xⁱ) * ∏_r>=1 (1 + x^r)) with k = 2. A246581

Möbius transform of A332223. A332463

Expansion of ∑_k>0 (1/(1+x^k)³ - 1). A363630

Expansion of (1-x)^-1/(1+x+x²-x³). A77908

First order recursion: a(0)=1; a(n) = σ(1,n) - a(n-1). A83238

Imbalance of the number of partitions of n. A194795

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202874; by antidiagonals. A202875