Properties of the Number 10216

Ten Thousand Two Hundred Sixteen

Basics

Value: 10215 → 10216 → 10217

Parity: even

Prime: No

Previous Prime: 10211

Next Prime: 10223

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 1277

Divisors: 1, 2, 4, 8, 1277, 2554, 5108, 10216

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011111101000

Octal: 23750

Duodecimal: 5AB4

Hexadecimal: 27e8

Square: 104366656

Square Root: 101.07423014794622

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) = n*(5·n² - 3)/2. A63522

a(n) = 4·a(n-1) + 2·a(n-2) for n > 1; a(0) = 1, a(1) = 6. A164549

G.f.: ∏_m>0 (1+x^m+2!*x^2·m). A293204

Total number of odd blocks in all partitions of n-set. A102286

G.f.: ∑_n>=0 xⁿ * (xⁿ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹, where i² = -1. A323675

Number of vertices in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357060

A bisection of A063522. A160699

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2∣x-y|-|y-z|. A212577

Coordination sequence for octagonal tiling is a(n) + A103908(n)*sqrt(2). A103909

Triangle read by rows: T(n,k) (0 <= k <= ceiling(n/2)-1) is the number of (1,0) steps at level k in all peakless Motzkin paths of length n (can be easily translated into RNA secondary structure terminology). A110237