Properties of the Number -2209

Two Hundred Nine

Basics

Value: -2210 → -2209 → -2208

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 47 ²

Divisors: 1, 47, 2209

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -100010100001

Octal: -4241

Duodecimal: -1341

Hexadecimal: -8a1

Square: 4879681

Square Root: 47

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) = 1 + 3·n - 2·n². A168244

Dirichlet g.f.: 1 / ζ(s-2). A334657

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

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

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 5", based on the 5-celled von Neumann neighborhood. A270009

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 7", based on the 5-celled von Neumann neighborhood. A270013

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 73", based on the 5-celled von Neumann neighborhood. A270090

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 89", based on the 5-celled von Neumann neighborhood. A270132

The squares: a(n) = n². A290