Properties of the Number -213

Two Hundred Thirteen

Basics

Value: -214 → -213 → -212

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 71

Divisors: 1, 3, 71, 213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11010101

Octal: -325

Duodecimal: -159

Hexadecimal: -d5

Square: 45369

Square Root: 14.594519519326424

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 square of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55101

Expansion of (1 - 2·x³ - x⁴ - 2·x⁵ - x⁶ - x⁷ - x⁸ + 2·x⁹)/(1 + x - x³ - x⁴ - x⁵ - x⁶ - x⁷ + x⁹ + x¹⁰). A143335

G.f.: Re((i·x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292042

E.g.f. satisfies: A(x)² * log(A(x)) = exp(x) - 1. A349654

Inverse Euler transform of {1, primes}. A30011

Inverse Euler transform of the number of distinct prime factors (without multiplicity) function A001221. A320777

Difference between sums of smallest parts of all partitions of n into odd number of parts and into even number of parts. A222046

Binomial transform of Moebius sequence. A104688

G.f.: 1/(1 - x/(1+2·x - x³/(1+2·x² - x⁵/(1+2·x³ - x⁷/(1+2·x⁴ - x⁹/(1 - ...)))))), a continued fraction. A275761

a(1) = -1, for n > 1, a(n) = ∑_{d∣n, d<n} A340197(n/d) * a(d). A340140