Properties of the Number -1369

Three Hundred Sixty-Nine

Basics

Value: -1370 → -1369 → -1368

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 37 ²

Divisors: 1, 37, 1369

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10101011001

Octal: -2531

Duodecimal: -961

Hexadecimal: -559

Square: 1874161

Square Root: 37

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 g.f.: 1 / ζ(s-2). A334657

a(n) = (-cos(π/7)/cos(2*π/7))ⁿ + (-cos(2*π/7)/cos(3*π/7))ⁿ + (cos(3*π/7)/cos(π/7))ⁿ. A274220

a(1) = 1, a(2) = -5; a(n) = -n² * ∑_{d∣n, d < n} a(d) / d². A359485

a(1) = 1, a(2) = 3; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361986

Expansion of [ ∑_n>=0 11^n*(n-1/2) * (1 + 11^2·n+1)/12·x^n*(n+1/2) ]^1/3. A370334

a(1) = 1; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361987

Expansion of (1+x+x²)*(1-8·x³-14·x⁴+8·x⁷+x⁸)/(1+x⁴)³. A188477

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Squares of primes. A1248