Properties of the Number 8356

Eight Thousand Three Hundred Fifty-Six

Basics

Value: 8355 → 8356 → 8357

Parity: even

Prime: No

Previous Prime: 8353

Next Prime: 8363

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 2089

Divisors: 1, 2, 4, 2089, 4178, 8356

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010100100

Octal: 20244

Duodecimal: 4A04

Hexadecimal: 20a4

Square: 69822736

Square Root: 91.41115905621152

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

Numbers that are the sum of 11 positive 8th powers. A3389

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 1,0 1,1 0,-1 or -1,1. A264569

a(n) is the number of rotation-reflection inequivalent solutions to the all-ones lights out problem on an n X n square. A75463

a(n) is the number of distinct billiard words with length n on an alphabet of 4 symbols. A180239

Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth. A290154

Place n equally spaced points on each side of a square, and join each of these points by a chord to the 3·n new points on the other three sides: sequence gives number of regions in the resulting planar graph. A367278

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of these n·k points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of regions in the resulting planar graph. A367304

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,1,2}. A80000

Apply partial sum operator thrice to factorials. A152689

T(n,k) = 1 + A176343(n) - A176343(k) - A176343(n-k), triangle read by rows (n >= 0, 0 <= k <= n). A176344