Properties of the Number 9210

Nine Thousand Two Hundred Ten

Basics

Value: 9209 → 9210 → 9211

Parity: even

Prime: No

Previous Prime: 9209

Next Prime: 9221

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 307

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 307, 614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111010

Octal: 21772

Duodecimal: 53B6

Hexadecimal: 23fa

Square: 84824100

Square Root: 95.96874491208062

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

Let p(n) be the n-th prime congruent to 1 mod 4. Then a(n) = the least m for which m²+1=p(n)*k² has a solution. A94048

a(n) = 9·2ⁿ - 6. A89143

Bases b for which there exists an integer y such that y³ in base b looks like [c,d,c,d] for some base-b digits c, d. A290176

Start with a single triangle; at n-th generation add a triangle at each vertex, allowing triangles to overlap; sequence gives number of triangles in n-th generation. A61776

For each permutation of {1,2,...,n} one or more integers might not be part of any longest increasing subsequence (LIS) of that permutation. The sequence lists the number of permutations for which ceiling(n/2) is not part of any LIS. For example, if n=4, 2 is not in any LIS of the two permutations (1342) and (3421). A168502

Numbers n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n. A229272

Expansion of 1/(1-2·x-3·x²+2·x³). A46672

Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n. A99834

Negative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared. A257868

Indices where records occur in A265432. A272675