16524
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
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 45864
- Proper Divisor Sum (Aliquot Sum)
- 29340
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Representation degeneracies for Ramond strings.at n=21A005303
- Number of rods required to make a 3-D cube of side length n.at n=17A059986
- Numbers k such that sopfr(k)=tau(k).at n=30A078511
- Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges in which the maximal number of contiguous border edges starting from the root in both directions is equal to k.at n=37A102595
- Numbers k such that 7*10^k + 5*R_k - 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=8A103061
- Number of 1's in n-th "Kolakoski" string defined in A054349.at n=24A111124
- Positive integers i for which A112049(i) == 8.at n=16A112068
- a(n) = 10*n^2 - 7*n + 1.at n=41A158186
- Numbers p^5*q^2*r where p, q, r are 3 distinct primes.at n=29A179691
- a(n) = 2*n*(7*n + 5).at n=34A195027
- Numbers that are formed using their own digits and addition and seventh power operators.at n=2A195674
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n.at n=34A212247
- Number of (w,x,y,z) with all terms in {0,...,n} and w=[R/2], where R=max{w,x,y,z}-min{w,x,y,z} and [ ]=floor.at n=26A212758
- The hyper-Wiener index of the Kneser graph K(n,2) (n>=5).at n=13A228307
- Paradigm shift sequence for (4,5) production scheme with replacement.at n=135A246099
- Number of length n+5 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=11A256820
- Number of n X 3 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2.at n=6A274723
- T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2.at n=42A274728
- Number of 7Xn 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2.at n=2A274732
- Number of 2 X 2 matrices with all terms in {-n,...,0,...,n} and (sum of terms) = permanent.at n=33A280914