Properties of the Number 4216

Four Thousand Two Hundred Sixteen

Basics

Value: 4215 → 4216 → 4217

Parity: even

Prime: No

Previous Prime: 4211

Next Prime: 4217

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 17 × 31

Divisors: 1, 2, 4, 8, 17, 31, 34, 62, 68, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001111000

Octal: 10170

Duodecimal: 2534

Hexadecimal: 1078

Square: 17774656

Square Root: 64.9307323229917

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

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=1} (n+1-i)*(n+1-j). A115004

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682

Octagonal pyramidal numbers: a(n) = n*(n+1)*(2·n-1)/2. A2414

Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers). A71395

Primitive pseudoperfect numbers. A6036

Primitive Zumkeller numbers. A180332

Number of binary arrangements without adjacent 1's in n X n rhombic hexagonal grid torus. A66866

Number of polyominoes with n cells whose symmetry group (excluding reflections) has order at least 2. A144554

a(n) = binomial(n,3) - binomial(floor(n/2),3) - binomial(ceiling(n/2),3). A111384

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically. A207693