Properties of the Number -403

Four Hundred Three

Basics

Value: -404 → -403 → -402

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 13 × 31

Divisors: 1, 13, 31, 403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: -110010011

Octal: -623

Duodecimal: -297

Hexadecimal: -193

Square: 162409

Square Root: 20.074859899884732

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

Matrix 10th power of inverse partition triangle A038498. A50313

Expansion of (3+8·x-3·x²-2·x³)/((x²+4·x+1)*(x²-2·x-1)). A111639

Expansion of e.g.f. tanh(x·tan(x/2)) (even powers only). A296853

Riordan array (1/(1+x), x(1-x)/(1+x)²). A110511

Numerators of Hurwitz inverse of primes [2,3,5,7,...]. A302191

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of min{2i+j-2,2j+i-2} (A204006). A204007

Expansion of ψ(x³)³ / (ψ(x)² * ψ(x²)) in powers of·where ψ() is a Ramanujan θ function. A262157

Numerator of Laguerre(n, 8). A160635

Let f(x) = 1 + ∑_j>=4 (|μ(j)| - |μ(j-1)|)*x^j, where μ(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of xⁿ in the expansion of log(f(x)). A262400

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 429", based on the 5-celled von Neumann neighborhood. A272114