Properties of the Number 9911

Nine Thousand Nine Hundred Eleven

Basics

Value: 9910 → 9911 → 9912

Parity: odd

Prime: No

Previous Prime: 9907

Next Prime: 9923

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 17 × 53

Divisors: 1, 11, 17, 53, 187, 583, 901, 9911

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010110111

Octal: 23267

Duodecimal: 589B

Hexadecimal: 26b7

Square: 98227921

Square Root: 99.55400544428134

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

Multiples of 11 containing an 11 in their decimal representation. A121031

Number of solutions to k₁ + 2·k₂ + ... + n·k_n = 0, where k_i are from {-1,0,1}, i=1..n. A7576

a(n) = -n³ + 7·n² - 5·n + 1. A161708

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique value such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50032

a(n) = a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 2. A50048

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A50064

Numbers k such that 10^k - k is prime. A110065

Geometric mean of the digits = 3. In other words, the product of the digits is = 3^k where k is the number of digits. A61427

G.f.: ∑_k>=0 x^k * ∏_j=1..5·k (1 + x^j). A385069

Structured rhombic triacontahedral numbers (vertex structure 11). A100164