Properties of the Number 9212

Nine Thousand Two Hundred Twelve

Basics

Value: 9211 → 9212 → 9213

Parity: even

Prime: No

Previous Prime: 9209

Next Prime: 9221

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 ² × 47

Divisors: 1, 2, 4, 7, 14, 28, 47, 49, 94, 98

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111100

Octal: 21774

Duodecimal: 53B8

Hexadecimal: 23fc

Square: 84860944

Square Root: 95.97916440561461

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise. A236523

Row sums of A051598. A53209

Expansion of (1 + x)² / ((1 - x² - 2·x³)*(1 + x⁴)). A107849

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)⁵)². A137960

Number of inequivalent leaf-colorings of planted achiral trees with n nodes. A318228

At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage. A56640

Number of diamond polyominoes with n cells. A56783

a(n) = floor(n*(n-1)*(n-2)/12). A11894

Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid. A111746

a(n) = 16·n² - 4. A158443