Properties of the Number 9906

Nine Thousand Nine Hundred Six

Basics

Value: 9905 → 9906 → 9907

Parity: even

Prime: No

Previous Prime: 9901

Next Prime: 9907

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 × 127

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 127, 254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011010110010

Octal: 23262

Duodecimal: 5896

Hexadecimal: 26b2

Square: 98128836

Square Root: 99.52889027814989

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

Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)². A72849

Number of equivalence classes of binary words of length n for the subword 10110. A317669

a(n) = n*(13·n + 1)/2. A22271

G.f.: q-sinh(x) evaluated at q=-x. A198202

Number of ways to write n as an ordered sum of 6 primes (counting 1 as a prime). A341985

Number of nonnegative integer 3 X 3 matrices with sum of elements equal to n, under action of dihedral group of the square D₄. A54343

a(n) = ∑_k=1..n (k/gcd(n, k))². A332654

Unitary noncototient numbers: numbers k such that A323410(x) = k has no solution. A362182

Conjectured number of irreducible multiple ζ values of depth n and weight 3n (confirmed up to n=7). A20999

Expansion of (η(q)η(q¹⁰)/(η(q²)η(q⁵)))⁶ in powers of q. A284629