Properties of the Number 9208

Nine Thousand Two Hundred Eight

Basics

Value: 9207 → 9208 → 9209

Parity: even

Prime: No

Previous Prime: 9203

Next Prime: 9209

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 1151

Divisors: 1, 2, 4, 8, 1151, 2302, 4604, 9208

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111000

Octal: 21770

Duodecimal: 53B4

Hexadecimal: 23f8

Square: 84787264

Square Root: 95.95832428716125

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

Expansion of ∏_k>=0 (1 + x^3·k+1)/(1 - x^3·k+1). A261610

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

T(n,k)=Number of nXk binary arrays with every 1 having exactly two king-move neighbors equal to 1. A183450

a(n) = T(8,n), array T given by A048483. A48491

Number of acute triangles on an n X n grid (or geoboard). A190019

Least number·such that xⁿ has n digits equal to k. Case k = 7. A285454

Poincaré series [or Poincare series] (or Molien series) for a certain six-fold wreath product P₆. A91769

Sum of first n 5-almost primes. A86047

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²>x²+y². A211637

a(n) = n + (n-1)*(2ⁿ-2). A188716