Properties of the Number 4209

Four Thousand Two Hundred Nine

Basics

Value: 4208 → 4209 → 4210

Parity: odd

Prime: No

Previous Prime: 4201

Next Prime: 4211

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 23 × 61

Divisors: 1, 3, 23, 61, 69, 183, 1403, 4209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001110001

Octal: 10161

Duodecimal: 2529

Hexadecimal: 1071

Square: 17715681

Square Root: 64.87680633323437

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

Numbers k such that 10^k + 13 is prime. A95688

Sizes of successive clusters in Z⁴ lattice. A46895

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y<3z. A212508

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-2 1,0 or -1,0. A264299

T(n,k) = number of n X k 0..1 arrays with every element equal to 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302278

a(n) = n*(8·n-1). A139274

a(n) is the number of conjugacy classes in the alternating group A_n. A702

Numbers of the form m*(4·m +- 1)/2. A154260

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

Numbers that are the sum of 4 nonzero 4th powers in more than one way. A309763