Properties of the Number 3217

Three Thousand Two Hundred Seventeen

Basics

Value: 3216 → 3217 → 3218

Parity: odd

Prime: Yes

Previous Prime: 3209

Next Prime: 3221

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 3217

Divisors: 1, 3217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010010001

Octal: 6221

Duodecimal: 1A41

Hexadecimal: c91

Square: 10349089

Square Root: 56.71860364994893

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

Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime. A43

Primes p such that (p+1)/2 is prime. A5383

Prime(n), where n is such that (∑_i=1..n prime(i)²) / n is an integer. A217599

Expansion of (3-2·x-3·x²)/(1-x-x²-x³). A141523

Primes with first digit 3. A45709

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067

Numbers k such that 2^k - 13 is prime. A96818

Decimal expansion of 2³²¹⁷ - 1, the 18th Mersenne prime A000668(18). A248934

Number of ways to split a strict integer partition of n into consecutive subsequences with strictly decreasing sums. A318684

Number of blocks in all RNA secondary structures with n nodes (an RNA secondary structure can be viewed as a restricted noncrossing partition). A110320