Properties of the Number 7206

Seven Thousand Two Hundred Six

Basics

Value: 7205 → 7206 → 7207

Parity: even

Prime: No

Previous Prime: 7193

Next Prime: 7207

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1201

Divisors: 1, 2, 3, 6, 1201, 2402, 3603, 7206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100110

Octal: 16046

Duodecimal: 4206

Hexadecimal: 1c26

Square: 51926436

Square Root: 84.88816171881683

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

Number of integer partitions of n having a permutation with all equal run-lengths. A383013

Triangle composed of generalized Catalan numbers. A64334

Initial members of abundant quadruplets, i.e., values of k such that (k, k+2, k+4, k+6) are all abundant numbers. A231089

Number of disconnected regular simple graphs on n vertices with girth at least 5. A185215

Number of vertices in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357007

Shifts 4 places left under inverse binomial transform. A10743

Number of binary sequences of length n that contain at least one contiguous subsequence 011. A232580

Positive integers m with p(m)² + q(m)² prime, where p(.) is the partition function (A000041) and q(.) is the strict partition function (A000009). A236413

a(n) = [xⁿ] ∏_k=0..n-1 (1 + k·x)⁴. A384029

Generalized Catalan numbers C(-5; n). A64327