11016
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 32670
- Proper Divisor Sum (Aliquot Sum)
- 21654
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- Triangle of Lehmer-Comtet numbers of the first kind.at n=46A008296
- a(n) = Sum_{k=0..2n-2} T(n,k) * T(n,k+2), with T given by A026552.at n=4A027274
- Number of n X n (0,1) matrices such that each row and each column is nondecreasing or nonincreasing.at n=5A032260
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=32A033829
- Number of possible rook moves on an n X n chessboard.at n=17A035006
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=48A036807
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= -5, with F(-n)=(-1)^(n+1)*F(n);.at n=22A037141
- Positive numbers having the same set of digits in base 9 and base 10.at n=37A037443
- A diagonal of A008296.at n=8A045406
- Product(n/k - k) where the product is over the divisors k of n and where 1 <= k <= sqrt(n).at n=51A068333
- Numbers k such that gcd(d(k^3), d(k)) is not a power of 2.at n=33A069781
- Least k such that Sum_{i=1..k} gcd(k,i) = n * sigma(k).at n=5A072108
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=28A085446
- Generalized Stirling number triangle of first kind.at n=57A094646
- Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 8 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n, s(0) = 1, s(2n) = 5.at n=7A094806
- Integers that are Rhonda numbers to more than one base.at n=16A100988
- a(1) = 668; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=30A105212
- Smallest number m containing no zeros in base n representation but at least one zero in all base b representations with 1<b<n.at n=13A106372
- Numbers beginning with a vowel in French.at n=18A118557
- Terms of A068563 that are not terms of A124240.at n=43A124241