Properties of the Number -1782

Seven Hundred Eighty-Two

Basics

Value: -1783 → -1782 → -1781

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 11

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 27, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: -11011110110

Octal: -3366

Duodecimal: -1046

Hexadecimal: -6f6

Square: 3175524

Square Root: 42.21374183841087

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

Scaled coefficient table for Chebyshev polynomials 2·T(2·n, sqrt(x)/2) (increasing even scaled powers, without zero entries). A127677

a(n) = (3ⁿ/n!)*∏_k=0..n-1 (3·k - 1). A4990

Riordan array ((1-x)/(1+x), x/(1+x)²). A110162

Coefficient triangle for the square of the monic integer Chebyshev T-polynomials A127672. A217476

Expansion of r(q)³ / r(q³) in powers of q where r() is the Rogers-Ramanujan continued fraction. A285628

G.f. A(x,y) = ∑_-oo..+oo (x - yⁿ)ⁿ⁺¹, as a flattened rectangular array of coefficients T(n,k) of xⁿ * y^k*(n+k-1) in A(x,y) for n>=1. A293600

G.f. A(x) satisfies: A(x) = A(x³ - x⁵)/x². A350479

G.f. A(x) satisfies A(x) = (1 - 9·x*A(x))^2/3. A377269

Linear recurrence sequence with infrequent pseudoprimes, a(n) = -a(n-1) + a(n-2) - a(n-3) + a(n-5), with initial terms (5, -1, 3, -7, 11). A225984

Triangle read by rows, characteristic polynomials of Cartan ring matrices. A152060