Properties of the Number -1306

Three Hundred Six

Basics

Value: -1307 → -1306 → -1305

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 653

Divisors: 1, 2, 653, 1306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100011010

Octal: -2432

Duodecimal: -90A

Hexadecimal: -51a

Square: 1705636

Square Root: 36.138621999185304

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

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

Triangle read by rows: row n gives y transposed, where y is the solution to the matrix equation M·y=b, where the matrix M and vector b are defined by M(i,j) = ((2ⁱ⁺¹ + 1)^j-1 + 1)/2 and b(i) = ((2ⁱ⁺¹+1)ⁿ + 1)/2 for 1 <= i,j <= n. A292625

Expansion of e.g.f. 1/(1 - (sin(x) + x·cos(x))/2 ). A349104

McKay-Thompson series of class 44a for Monster. A58680

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385014. A385018

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Number of down/up (initially descending) compositions of n. A25049

G.f.: ∏_k>=1 (1 + 2·x^k). A32302

Numbers n such that n³² + 1 is prime. A6315

Number of integer partitions of n with no adjacent parts having quotient >= 2. A342096