Properties of the Number 32216

Thirty-Two Thousand Two Hundred Sixteen

Basics

Value: 32215 → 32216 → 32217

Parity: even

Prime: No

Previous Prime: 32213

Next Prime: 32233

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 4027

Divisors: 1, 2, 4, 8, 4027, 8054, 16108, 32216

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110111011000

Octal: 76730

Duodecimal: 16788

Hexadecimal: 7dd8

Square: 1037870656

Square Root: 179.48816116947657

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

G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - x * (1 + x + x²) * A(x³))). A367714

Vertex number of a rectangular spiral related to Fibonacci numbers and prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the Fibonacci numbers, while the distances between nearest edges perpendicular to the initial edge are the prime numbers. A160794

Cubes written in base 7. A4637

Smallest n-aspiring number. That is, a(n) = smallest k such that sⁿ(k) is perfect but s^n-1(k) is not, where s(k) is the sum of the aliquot parts of k and sⁱ means iterate s i times. A99771

Number of binary strings of length n with no substrings equal to 0000 0101 or 1010. A164434

Number of North-East paths from (0,0) to (n,n) that have even number of times bounce off y = x to the right. A268430

a(n) = a(1) + a(2) + ... + a(n-1) + a(m), where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n-1 <= 2^p+1, starting with a(1) = a(2) = 1. A49941

"DFK" (bracelet, size, unlabeled) transform of 1,2,3,4... A32216

Number of (n+2)X(4+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 or 4. A251678