16965
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 15795
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 5655
- Omega Function (Ω)
- 5
- 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
- 110
- 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
- no
- Odd
- yes
Appears in sequences
- Number of rooted simplicial 3-polytopes with n+3 nodes; or rooted 3-connected triangulations with 2n+2 faces; or rooted 3-connected trivalent maps with 2n+2 vertices.at n=7A000260
- a(n) in base 12 is a repdigit.at n=42A048336
- Numbers n such that sigma(n)^2 - phi(n)^2 is a perfect square.at n=37A057654
- a(n) = floor(C(n+8,8)/C(n+2,2)).at n=21A084631
- Largest member of the n-th row of the triangular triangle (A093445).at n=43A093446
- Array T(n,m) = 2*(2m+3)!*(4n+2m+1)!/(m!*(m+2)!*n!*(3n+2m+3)!) read by antidiagonals.at n=28A146305
- a(n) = 729*n - 531.at n=23A156771
- Sum of all numbers from and including Fibonacci(n-1) to and including Fibonacci(n).at n=12A161762
- a(n) is the smallest positive integer such that a(n)*n is an anagram of a(n)*8.at n=41A175697
- Sum of tetrahedral numbers A000292(k), with k in the reduced residue system modulo n.at n=26A189918
- Odd numbers n such that 2n/sigma(n) - 1 = 1/x for some positive integer x.at n=18A222263
- -3-Knödel numbers.at n=27A225507
- Array a(n,m) read by descending antidiagonals giving the number of intervals in a generalized Tamari lattice of m-ballot paths of size n.at n=34A255918
- Smallest positive integer m such that m, m+1, m+2, m+3 are divisible by 2n+1, 2n+3, 2n+5, 2n+7 respectively.at n=7A279259
- Triangle read by rows: T(n,k) is the number of c-nets with n+1 faces and k+1 vertices.at n=65A290326
- Unique terms in sequence A294640, in order by size.at n=68A294641
- Numbers k such that the k-th composition in standard order is a permutation (of an initial interval).at n=40A333218
- Numbers k such that k divides Sum_{j=0..k} j^(k-j).at n=11A341437
- Array read by antidiagonals: T(n,k) is the number of rooted strong triangulations of a disk with n interior nodes and 3+k nodes on the boundary.at n=35A341856
- Numbers k such that the k-th composition in standard order is a non-alternating permutation of an initial interval of positive integers.at n=22A350250