Properties of the Number -1314

Three Hundred Fourteen

Basics

Value: -1315 → -1314 → -1313

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 73

Divisors: 1, 2, 3, 6, 9, 18, 73, 146, 219, 438

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100100010

Octal: -2442

Duodecimal: -916

Hexadecimal: -522

Square: 1726596

Square Root: 36.24913792078372

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

a(n) = ∑_k=1..n μ(k) * k^{n - k}. A344433

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

G.f.: ∏_m>0 (1 - x^m + 2!*x^2·m - 3!*x^3·m). A293255

Fourier coefficients of the modular form (1/t_3A) * sqrt(1 - 108/t_3A) * F_3A¹⁰. A341555

a(n) = ∑_{k=0..floor(n/3)} n^k * Stirling1(n,3·k). A356362

Irregular triangle, read by rows: T(n, k) = [x^k]( y(n, x) ), where y(n, x) = - 2·y(3, x) - x·y(n-1, x) + 2·x²*y(n-1, x) + x²*y(n-2, x), and y(1, x) = -8 - 3·x + 8·x², y(2, x) = 4 - 4·x - 10·x² + 4·x³ + 4·x⁴, y(3, x) = -8 + 4·x + 24·x² - 9·x³ - 24·x⁴ + 4·x⁵ + 8·x⁶. A131641

Integer averages of squares of first primes. A217601

a(n) = n*(4·n+1). A7742

Number of integer partitions of n whose distinct parts are connected. A304716

Describe n. Also called the "Say What You See" or "Look and Say" sequence LS(n). A45918