16794
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 37440
- Proper Divisor Sum (Aliquot Sum)
- 20646
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5580
- Möbius Function
- 0
- Radical
- 1866
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Number of identity trees with 2-colored nodes.at n=10A038078
- Row sums of triangle A096591, which shifts one place diagonally left and upward under the matrix square operation.at n=13A096592
- Numbers k such that k and 3*k, taken together, are pandigital.at n=0A115923
- Catalan numbers minus 2.at n=10A120304
- a(n) = 3600*n^2 - 6049*n + 2541.at n=2A157838
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,0,2,1 for x=0,1,2,3,4.at n=7A196969
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,0,2,1 for x=0,1,2,3,4.at n=47A196974
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,0,2,1 for x=0,1,2,3,4.at n=52A196974
- Let p = A002145(n) be the n-th prime of the form 4k+3, then a(n) is the smallest number such that p is the smallest prime of the form 4k+3 for which 4*a(n)+2-p is prime.at n=42A217696
- Number of partitions of n such that the number of even parts is a part or the number of odd parts is a part.at n=38A240576
- Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=34A255998
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 806", based on the 5-celled von Neumann neighborhood.at n=41A273608
- Number of Dyck paths of semilength n such that no level has more than eight peaks.at n=10A287972
- Catalan numbers - 2 (A120304) with first three terms changed to 1,1,1.at n=10A289652
- Catalan numbers - 2 (A120304) with first four terms changed to 1,1,1,4.at n=10A289653
- Related to number of mesh patterns of length 2 that avoid the pattern 321.at n=10A289654
- Number of partitions of n whose minimal excluded multiplicity is even.at n=39A299408
- Array read by descending antidiagonals, T(n,k) is the number of nodes in the pill tree with initial conditions (n,k), for n and k >= 0.at n=52A335050