11346
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23808
- Proper Divisor Sum (Aliquot Sum)
- 12462
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 1
- Radical
- 11346
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 205
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=62A011902
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=59A017876
- a(n) = A026626(2*n, n-2).at n=6A026629
- Number of rooted identity trees with n nodes and 4 leaves.at n=11A055329
- Matrix square of triangle A121412.at n=22A121416
- Column 1 of triangle A121416.at n=5A121417
- Rectangular table, read by antidiagonals, where row n is equal to column 1 of matrix power A121412^(n+1) for n>=0.at n=26A121426
- Number of subpartitions of partition P=[0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,...] (A052146).at n=21A121431
- Square array, read by antidiagonals, where T(n,k) = T(n,k-1) + T(n-1,k+n+1) for n>0, k>0, such that T(n,0) = T(n-1,n+1) for n>0 with T(0,k)=1 for k>=0.at n=22A136737
- Six times hexagonal numbers: 6*n*(2*n-1).at n=31A152746
- Number of binary strings of length n with equal numbers of 0000 and 0011 substrings.at n=15A164149
- E.g.f.: AGM(1, exp(4x)), where AGM(x, y) is the arithmetic-geometric mean of Gauss.at n=8A174846
- a(n) = 2 + Sum_{k=0..n-1} A176513(4*k+1).at n=8A176621
- Number of partitions into a triangular number of parts.at n=42A178927
- Sum of all parts of the n-th subshell of the head of the last section of the set of partitions of any even integer >= 2n.at n=14A182994
- Dispersion of (5*n-floor(n*sqrt(5))), by antidiagonals.at n=45A191539
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=w+x+y<=1.at n=36A211615
- Numbers for which sum of odious proper divisors (A000069) equals sum of evil proper divisors (A001969).at n=1A227889
- a(n) = prime(n+1)^2 - prime(n).at n=26A261465
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 950", based on the 5-celled von Neumann neighborhood.at n=25A273829