1938
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2382
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 576
- Möbius Function
- 1
- Radical
- 1938
- Omega Function (Ω)
- 4
- 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
- 50
- 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
- a(n) = 2*(3*n)! / ((2*n+1)!*(n+1)!).at n=7A000139
- Generalized sum of divisors function.at n=33A002132
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=29A002134
- Absolute value of Glaisher's alpha(n).at n=14A002290
- Degrees of irreducible representations of Janko group J3.at n=16A003906
- Degrees of irreducible representations of Janko group J3.at n=17A003906
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=22A005899
- From generalized Catalan numbers.at n=4A006631
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=34A006918
- a(n) = 2*binomial(n,3).at n=19A007290
- Coordination sequence T6 for Zeolite Code BOG.at n=31A008054
- Coordination sequence T1 for Zeolite Code CAS.at n=27A008063
- Coordination sequence T7 for Zeolite Code VNI.at n=27A009913
- a(0) = 1, a(n) = n^2 + 2 for n > 0.at n=44A010000
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=11A010006
- a(n) = floor(binomial(n,5)/6).at n=19A011843
- Multiplicity of K_3 in K_n.at n=38A014557
- Numbers k that divide s(k), where s(1)=1, s(j)=18*s(j-1)+j.at n=37A014868
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19).at n=61A017895
- a(n) is the concatenation of n and 2n.at n=18A019550