11892
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27776
- Proper Divisor Sum (Aliquot Sum)
- 15884
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3960
- Möbius Function
- 0
- Radical
- 5946
- Omega Function (Ω)
- 4
- 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
- 99
- 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
- a(n) = n + n*(n-1)*(n-2)*(n-3).at n=12A001094
- Number of ternary squarefree words of length n.at n=26A006156
- T(2n,n+1), where T is the array defined in A025564.at n=5A025574
- a(n) = T(n,[ n/2 ]+1), where T is the array defined in A025564.at n=10A025576
- 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 72.at n=33A031570
- Triangulations of an n-gon such that each internal vertex has valence at least 6, i.e., nonpositively curved triangulations.at n=11A060049
- a(n) = (11*n^2 - 11*n + 2)/2.at n=46A069125
- Rounded total surface area of a regular dodecahedron with edge length n.at n=24A071397
- Interprimes which are of the form s*prime, s=12.at n=28A075287
- a(n) = (2*n^3 - n^2 - n + 2)/2.at n=23A081441
- a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000).at n=22A096973
- 45-gonal numbers: n*(43*n-41)/2.at n=23A098924
- Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n, having k return steps to the line y = x from the line y = x+1 or from the line y = x-1 (i.e., E steps from the line y = x+1 to the line y = x or N steps from the line y = x-1 to the line y = x).at n=30A110107
- Number of partitions of n such that the set of parts and the set of multiplicities of parts are disjoint.at n=51A114639
- Zeroless numbers for which the sum of the digits and the product of the digits are both Fibonacci numbers.at n=43A117725
- Number of partitions of n such that if k is the largest part, then k-2 occurs as a part.at n=42A119907
- Half-indexed Lucas numbers a(n)=round(sqrt((1+sqrt(5))/2)^n) a(2n)=L(n)=A000032, so a(n)=L(n/2).at n=38A127207
- Centered 47-gonal numbers.at n=22A129428
- Indices of record values in A046641.at n=46A145772
- Floor-Sqrt transform of Lucas numbers (A000032).at n=39A192660