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Properties of the Number 8212

Eight Thousand Two Hundred Twelve

Basics

Value: 8211 → 8212 → 8213

Parity: even

Prime: No

Previous Prime: 8209

Next Prime: 8219

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 2 × 2053

Divisors: 1, 2, 4, 2053, 4106, 8212

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010100

Octal: 20024

Duodecimal: 4904

Hexadecimal: 2014

Square: 67436944

Square Root: 90.62008607367353

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 partitions of n such that 2*(least part) < greatest part. A237820
Number of integer partitions of n with at least one pair of consecutive divisible parts. A328221
Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square. A163433
G.f. A(x) satisfies A(x) = 1 / (1 - x * (1 + x + x2 + x3 + x4) * A(x5)). A367654
Define C(n) by the recursion C(0) = 4·i where i2 = -1, C(n+1) = 1/(1 + C(n)), then a(n) = 4*(-1)n/Im(C(n)) where Im(z) denotes the imaginary part of z. A69961
Diagonal of triangular spiral in A051682. A81268
a(n) = a(n-1) + 16·a(n-2), starting a(0)=1, a(1)=4. A158608
Numbers k such that the k-th composition in standard order is a triple (w,x,y) such that 2w = 3x + 4y. A357489
Number of nonequivalent noncrossing caterpillars with n edges up to rotation and relection. A361360
Numbers whose binary indices have (1) prime indices covering an initial interval and (2) squarefree product. A371293