11176
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 11864
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 2794
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Cluster series for bond percolation problem on honeycomb.at n=15A003199
- Expansion of Product_{m>=1} (1 + m*q^m)^8.at n=6A022636
- Self-convolution of (1, p(1), p(2), ...).at n=21A023626
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=39A024844
- Numbers whose base-7 representation contains exactly four 4's.at n=12A043412
- Number of essentially parallel series-parallel networks with n unlabeled edges, multiple edges not allowed.at n=14A058385
- Essentially series series-parallel networks with n unlabeled edges, multiple edges not allowed.at n=14A058386
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=34A063362
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=15A064687
- a(n) = 10*a(n-1)-24*a(n-2) for n>1, a(0)=1, a(1)=25.at n=4A081195
- Third row of Pascal-(1,4,1) array A081579.at n=30A081587
- Members of A000124 which are multiples of 11.at n=27A083511
- Sum of 1-fibits in Zeckendorf-expansion A014417(p) summed for all primes p in range [Fib(n+1),Fib(n+2)[ (where Fib = A000045).at n=21A095353
- Number of distinct Markov type classes of order 4 possible in binary strings of length n.at n=11A132299
- Indices n such that A134204(n) < n.at n=19A133242
- Numbers n such that phi(n)=d_1!!*d_2!!*...*d_k!! where d_1 d_2 ... d_k is the decimal expansion of n.at n=11A139408
- a(n) = (prime(n)^2 + prime(n+1))/2.at n=33A140511
- Wiener index of the n-pan graph.at n=43A180861
- Number of n X 3 binary arrays with rows and columns in nondecreasing order.at n=9A184138
- a(n) is the smallest multiple of n such that the sum of the square of the decimal digits of a(n) is divisible by n.at n=43A191872