11108
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19446
- Proper Divisor Sum (Aliquot Sum)
- 8338
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5552
- Möbius Function
- 0
- Radical
- 5554
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that 93*2^k+1 is prime.at n=29A032396
- Expansion of (1-x)^(-1)/(1-2*x+2*x^2+x^3).at n=17A077861
- Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).at n=43A127764
- Triangle, read by rows, defined by T(n,k) = T(n-1,k) + T(n,k-1) for nk>0, where T(n,0) = T(n-1,0) + T(n-1,n-1) and T(n,n) = T(n,n-1) for n>0 with T(0,0)=1.at n=38A129577
- Matrix square of triangle T = A141712, where the n-th diagonal of T equals the BINOMIAL transform of the (n-1)-th diagonal of T^2.at n=42A141715
- Number of n X n arrays of squares of integers summing to 19 with every element equal to at least one neighbor.at n=2A146513
- a(n) = 529*n - 1.at n=20A158365
- E.g.f. sec(log(1+tanh(x))).at n=8A168468
- Number of isolated vertices in all 3-noncrossing RNA structures on n vertices.at n=10A187255
- Number of subsets of {1,...,n} containing a subset of the form {k,k+1,k+3} for some k.at n=14A209400
- a(n) = n^3 - 2*n^2 - 1.at n=22A214731
- Incorrect version of A045949.at n=15A229620
- Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=10A235282
- Number of (n+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.at n=3A239529
- Number of (n+1)X(4+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.at n=3A239533
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.at n=24A239537
- Number of (4+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.at n=3A239538
- Expansion of Product_{k>=1} 1/(1-x^(k+7))^k.at n=43A263363
- Numbers that are the sum of eight fourth powers in exactly six ways.at n=30A345838
- a(n) = n+1 for n = 1 to 8; a(n) = 100 + a(n-8) for n = 9 to 16; thereafter a(8*i+j) = 10^(i+1) + a(8*(i-1)+j) for i >= 2, 1 <= j <= 8.at n=30A367342