16083
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 23244
- Proper Divisor Sum (Aliquot Sum)
- 7161
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10716
- Möbius Function
- 0
- Radical
- 5361
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 97
- 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
- Expansion of (1+3*x+9*x^2+12*x^3+11*x^4+3*x^5+x^6)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=17A055383
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=43A069130
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 2X3 U in any orientation.at n=8A146055
- a(n) = Sum_{d|n} phi(n/d)^(d-1).at n=41A164941
- Number of (n+1)X6 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=5A186468
- Number of (n+1) X 7 0..2 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=4A186469
- T(n,m)=Number of (n+1)X6 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=26A188837
- Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,3,2,1 for x=0,1,2,3,4.at n=8A196474
- Numerators of the expected value of the length of a random cycle in a random n-permutation.at n=7A232193
- Number of partitions p of n such that 4*min(p) is a part of p.at n=39A238591
- Expansion of (1 + 6*x + x^2 + 12*x^3 - 2*x^4)/((1 - x)^4*(1 + x)^3).at n=34A268579
- a(1)=1; for n>1, a(n) = least integer greater than a(n-1) such that the sums of the divisors of the pairwise sums of a(1),...,a(n) are all distinct.at n=38A293542
- Number of squarefree parts in the partitions of n into 6 parts.at n=46A309458