Properties of the Number -2415

Four Hundred Fifteen

Basics

Value: -2416 → -2415 → -2414

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 23

Divisors: 1, 3, 5, 7, 15, 21, 23, 35, 69, 105

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: -100101101111

Octal: -4557

Duodecimal: -1493

Hexadecimal: -96f

Square: 5832225

Square Root: 49.14264950122246

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

Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2·k-1, where T(i,k) satisfies F(n) = ∑_k=1..n ∑_i=1..2·k-1 T(i,k) * C(n-k,i-1) * n^n-k / (n-1)!. A100492

The expansion of R(q)^-5 in powers of q where R() is the Rogers-Ramanujan continued fraction. A229793

Triangle of coefficients of Gaussian polynomials [2n+5,4]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=4n+2. A267484

Expansion of (2·x+1)*(4·x²+8·x+1)/((3·x²+3·x+1)*(2·x³+2·x²+4·x+1)). A110689

Moment sequence of tr(A⁴) in USp(6). A138544

Dirichlet convolution of [ 1,1,1,... ] with A034778. A34779

Triangle read by rows giving coefficients in Gould's polynomials for counting fountains of coins. A259879

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood. A271417

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood. A272513

Expansion of 1/(1 - x·theta₄(x)), where theta₄() is the Jacobi θ function. A307901