16068
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40768
- Proper Divisor Sum (Aliquot Sum)
- 24700
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4896
- Möbius Function
- 0
- Radical
- 8034
- 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
- 27
- 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
- Origin numbers: integers unreachable by Bergerson's Alpha construction (see the Ross Eckler link).at n=3A068196
- Numbers whose base-4 and base-5 representations are permutations of the same multiset of digits.at n=15A074233
- Least k such that k*n^n +/- 1 are twin primes.at n=28A076810
- a(n) = prime(n) + prime(n^2).at n=42A092504
- Numbers n such that n is the average of four consecutive primes n-5, n-1, n+1 and n+5.at n=30A258088
- Numbers m with m-1, m+1 and prime(m)+2 all prime.at n=33A259539
- Expansion of Product_{k=1..12} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=34A320246
- G.f.: Sum_{k>=1} (k^3 * x^(k^2) / Product_{j=1..k} (1 - x^j)).at n=37A333151
- The number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2x2x2 where the walk starts at the middle of the box's edge.at n=9A335806
- Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the middle of the box's edge.at n=36A336862
- a(n) = Sum_{d|n} d * binomial(d+n/d-1, d).at n=51A338658
- Number of true-palindromic compositions of n.at n=28A338739
- a(n) = Sum_{k=0..n} binomial(2*n, n-k) * p(k), where p(k) is the partition function A000041.at n=7A356280
- a(n) = [x^n] Product_{k=1..n} (x^(k^2) + 1 + 1/x^(k^2)).at n=15A369433
- Table read by antidiagonals: T(n,k) is the smallest m > 1 such that m^2 - 1 and m^2 + 1 have 2n and 2k divisors, respectively, or -1 if no such m exists.at n=19A373756
- Index of first occurrence of -n in A000319, or -1 if -n never appears there.at n=20A381231