11091
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14792
- Proper Divisor Sum (Aliquot Sum)
- 3701
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7392
- Möbius Function
- 1
- Radical
- 11091
- Omega Function (Ω)
- 2
- 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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 70.at n=25A031568
- Diagonal sums of a Krawtchouk triangle.at n=18A099038
- 0 together with numbers k such that 8*R_k - 7 is a prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A099421
- <h[d,d],s[d,d]*s[d,d]*s[d,d]> where h[d,d] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=32A115375
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 0100-0100-1111 pattern in any orientation.at n=13A146576
- Number of n X 10 binary arrays with all 1s connected, a path of 1s from top row to lower right corner, and no 1 having more than two 1s adjacent.at n=2A163703
- Number of n X 3 binary arrays with all 1s connected, a path of 1s from left column to lower right corner, and no 1 having more than two 1s adjacent.at n=9A163705
- Sequence whose Hankel transform is the Somos (4) sequence.at n=9A173993
- Number of solvable clock puzzles with n positions in Final Fantasy XIII-2, up to rotation and reflection.at n=8A206346
- a(n) = 3^(-1+floor(n/2))*A(n), where A(n) = 3*A(n-1) + A(n-2) - A(n-3)/3 with A(0)=A(1)=3, A(2)=11.at n=6A217336
- Array of coefficients of powers of x^2 for S(2*n,x)^3 with Chebyshev's S polynomials A049310.at n=46A220666
- Number of idempotent 3 X 3 0..n matrices of rank 2.at n=41A224334
- Number of partitions of n such that m(2) < m(3), where m = multiplicity.at n=40A240063
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 0.at n=35A259574
- Arithmetic derivative of the prime-factorization representation of the n-th Stern polynomial: a(n) = A003415(A260443(n)).at n=33A278544
- Numerator of (Sum_{k=0..n^2-1} (-1)^k*sqrt(Pi)/(Gamma(1/2-k)*Gamma(1+k))) - n.at n=2A280655
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 782", based on the 5-celled von Neumann neighborhood.at n=50A290300
- Number of n-step paths made by a chess king, starting from the corner of an infinite chessboard, and never revisiting a cell.at n=6A300665
- The number of trees with 4 nodes labeled by positive integers, where each tree's label sum is n.at n=44A301739
- a(n) = 87*2^n - 45.at n=7A304613