16168
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31680
- Proper Divisor Sum (Aliquot Sum)
- 15512
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7728
- Möbius Function
- 0
- Radical
- 4042
- 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
- no
- 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
- a(n) = n*(n+4)*(n+5)/6.at n=43A005586
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-5).at n=26A023435
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=18A031783
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=24A064687
- a(n) = (n-2)*(n+3)*(n+2)/6.at n=45A129936
- Triangle read by rows: T(n,k) is the number of permutations of [n] having k strong fixed points (0 <= k <= n).at n=58A145878
- Numbers such that n^2 = 29 mod 1193.at n=27A165989
- a(0)=1, a(1)=0, a(2)=2, a(3)=1, a(n)=a(n-2)+a(n-3)+a(n-4) for n>3.at n=27A167704
- Monotonic ordering of nonnegative differences 2^i-6^j, for 40>=i>=0, j>=0.at n=45A192116
- Monotonic ordering of nonnegative differences 4^i-6^j, for 40>= i>=0, j>=0.at n=22A192163
- Number of standard Young tableaux of shape [3n,3].at n=15A215543
- Partial sums of A247666.at n=51A253767
- Sum of the second largest parts of the partitions of n into 9 squarefree parts.at n=48A326531
- Numbers k such that A360119(k) > 1, but which have no divisors d > 1 such that d+1 is also a divisor.at n=38A360129