Properties of the Number 2213

Two Thousand Two Hundred Thirteen

Basics

Value: 2212 → 2213 → 2214

Parity: odd

Prime: Yes

Previous Prime: 2207

Next Prime: 2221

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2213

Divisors: 1, 2213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010100101

Octal: 4245

Duodecimal: 1345

Hexadecimal: 8a5

Square: 4897369

Square Root: 47.042533945356304

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

Primes of the form 2x² + 2xy + 17y². A139827

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707

a(n) = 4*(n+1)*n + 5. A78370

a(n) = n² + 4. A87475

Odd numbers not of form p + 2^k (de Polignac numbers). A6285

Start with 1; for n>1, replace n with the concatenation of its prime factors in increasing order. A37276

Number of partitions of n whose reciprocal sum is an integer. A58360

Smallest prime > n². A7491

Iterate x -> A080670(x) (replace·with the concatenation of the primes and exponents in its prime factorization) starting at n until reach 1 or a prime (which is then the value of a(n)); or a(n) = -1 if a prime is never reached. A195264

Number of integer partitions of n such that every set of distinct parts has a different sum. A325862