Properties of the Number 3209

Three Thousand Two Hundred Nine

Basics

Value: 3208 → 3209 → 3210

Parity: odd

Prime: Yes

Previous Prime: 3203

Next Prime: 3217

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 3209

Divisors: 1, 3209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110010001001

Octal: 6211

Duodecimal: 1A35

Hexadecimal: c89

Square: 10297681

Square Root: 56.64803615307419

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 form n² + n + 17. A7635

Number of points of norm <= n² in square lattice. A328

Number of integer partitions of n that can be partitioned into sets with distinct sums. A381992

Primes prime(k) such that all integers in [(prime(k-1)+1)/2,(prime(k)-1)/2] are composite, excluding those primes in A080359. A164294

Primes with first digit 3. A45709

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 9 as largest digit. A256709

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal or antidiagonal neighbor. A232257

Largest prime factor of n⁴ + 1. A96172

T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors. A200871

a(n) = ∑_k=1..n floor(n/k)³. A318742