Properties of the Number 15615

Fifteen Thousand Six Hundred Fifteen

Basics

Value: 15614 → 15615 → 15616

Parity: odd

Prime: No

Previous Prime: 15607

Next Prime: 15619

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 347

Divisors: 1, 3, 5, 9, 15, 45, 347, 1041, 1735, 3123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011111111

Octal: 36377

Duodecimal: 9053

Hexadecimal: 3cff

Square: 243828225

Square Root: 124.95999359795118

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

T(n,k) = number of 0..k arrays of length n avoiding the consecutive pattern 0..k. A206455

a(n) = (3·n*F(2n-1) + (3-n)*F(2n))/5 where F() = Fibonacci numbers A000045. A59502

A sequence of asymptotic density ζ(9) - 1, where ζ is the Riemann ζ function. A143035

The array in A059502 read by antidiagonals in 'up' direction. A59503

Triangle T(n, k) = Numbers of ways to place k points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle of any orientation. Triangle read by rows. A240439

Triangle of coefficients of Gaussian polynomials [2n+7,6]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=6n+3. A267486

L.g.f.: log( ∑_k>=0 x^k³ ). A363783

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 57", based on the 5-celled von Neumann neighborhood. A285607

Monotonic ordering of nonnegative differences 5ⁱ-10^j, for 40>= i>=0, j>=0. A192201

a(n) = ∑_k=0..n 2^k * binomial(n+2,k+2) * binomial(2·k+4,k+4). A387307