6048
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 14112
- 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
- 1728
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 111
- 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
- Orders of noncyclic simple groups (without repetition).at n=11A001034
- A generalized Fibonacci sequence.at n=49A001584
- a(n) is the number of partitions of 4n that can be obtained by adding together four (not necessarily distinct) partitions of n.at n=8A002221
- Glaisher's function J(n) (18 squares version).at n=6A002613
- Negated coefficients of Chebyshev T polynomials: a(n) = -A053120(n+10, n), n >= 0.at n=5A006975
- McKay-Thompson series of class 6D for Monster.at n=15A007257
- Smallest k such that sigma(x) = k has exactly n solutions.at n=34A007368
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=15A008654
- Theta series of direct sum of 2 copies of D_4 lattice in powers of q^2.at n=5A008658
- Numbers k where A011776(k) grows.at n=38A011778
- Duplicate of A009585.at n=7A012270
- Triangle of coefficients in expansion of (2+3x)^n.at n=30A013620
- Triangle of coefficients in expansion of (6+7x)^n.at n=11A013627
- Expansion of Jacobi theta constant (theta_2/2)^16.at n=5A014805
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=30A018830
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=47A020333
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=28A025193
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=41A025200
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=40A025410
- Number of primitive polynomials of degree n over GF(7).at n=6A027743