Properties of the Number -785

Seven Hundred Eighty-Five

Basics

Value: -786 → -785 → -784

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 157

Divisors: 1, 5, 157, 785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100010001

Octal: -1421

Duodecimal: -555

Hexadecimal: -311

Square: 616225

Square Root: 28.0178514522438

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

Coefficients of the '6th-order' mock θ function 2 μ(q). A53273

Expansion of φ(-x) * χ(-x) in powers of·where φ(), χ() are Ramanujan θ functions. A132970

a(n) = A325977(A228058(n)). A389217

Number of partitions of n with even crank minus number of partitions of n with odd crank. A124226

Determinant of the (p_n-1)/2 X (p_n-1)/2 matrix with (i,j)-entry being the Legendre symbol ((j-i)/p_n), where p_n is the n-th prime. A228077

Triangle where T(n,k) = -n!/(n-k)!*[x^k] ( x/log(1-x-x²) )ⁿ⁺¹, for n>=k>=0, read by rows. A118793

a(n) = A349613(n) + A349614(n). A349615

Triangle T(n,k), read by rows, formed by setting all entries in the zeroth column and in the main diagonal ((n,n) entries) to 1 and defining the rest of the entries by the recursion T(n,k) = T(n-1,k) - T(n,k-1). A96470

Triangle t(n,m)= binomial(n+m-1,n-1) + binomial(2·n-m-1,n-1) -binomial(2·n-1,n-1) read by rows, 0<=m<=n. A174952

Values of n such that L(4) and N(4) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226924