5338
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8532
- Proper Divisor Sum (Aliquot Sum)
- 3194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- -1
- Radical
- 5338
- Omega Function (Ω)
- 3
- 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
- 147
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Coordination sequence T3 for Zeolite Code MOR.at n=47A008184
- Coordination sequence T4 for Zeolite Code MOR.at n=47A008185
- Shifts left 2 places under "DIJ" (bracelet, indistinct, labeled) transform.at n=8A032273
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 19 generated by (1,2,...,19).at n=6A036732
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5).at n=75A036861
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=15A045273
- Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945.at n=43A060169
- Take pairs (x,y) with Sum_{j = x..y} j = concatenation of x and y. Sort pairs on y then x. This sequence gives x of each pair.at n=29A070152
- Sums of members of groups in A076063.at n=21A076066
- Binomial transform of A000960.at n=8A099063
- Difference between largest number of complexity n in the sense of A005245 and smallest number of complexity n in the sense of A005245.at n=23A133374
- Row sums of A027052.at n=9A160999
- Constant term in the reduction by (x^2 -> x + 1) of the polynomial p(n,x) given in Comments.at n=10A192878
- Number of n X 3 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=7A197237
- T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=47A197242
- T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=52A197242
- Numbers n such that 6n and sigma(6n) are both a twin prime average.at n=39A202607
- Triangle of coefficients of polynomials u(n,x) jointly generated with A208920; see the Formula section.at n=43A208919
- G.f. satisfies: A(x) = x^2 + Series_Reversion(x - x*A(x)).at n=6A212923
- Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X 3 array.at n=5A218059