2442
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 3030
- 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
- 720
- Möbius Function
- 1
- Radical
- 2442
- 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
- 40
- 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
- Generalized class numbers c_(n,1).at n=28A000233
- Representation degeneracies for boson strings.at n=24A005293
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=14A007419
- Coordination sequence T3 for Zeolite Code BOG.at n=35A008051
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=36A008083
- Coordination sequence T1 for Zeolite Code EPI.at n=31A008090
- Coordination sequence T2 for Zeolite Code JBW.at n=33A008122
- Coordination sequence T1 for Zeolite Code VFI.at n=38A008245
- Four-fold convolution of Bell numbers with themselves.at n=6A014325
- Expansion of Product_{m>=1} 1/(1 + m*q^m)^6.at n=10A022698
- a(n) = position of the n-th n in A026409.at n=45A026412
- Numbers whose set of base-9 digits is {1,3}.at n=27A032916
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=30A032988
- a(n) = binomial(n+6,6)*(6*n+7)/7.at n=5A034265
- a(n)=f(n,n-1) where f is given in A034261.at n=5A034274
- Multiplicity of highest weight (or singular) vectors associated with character chi_176 of Monster module.at n=36A034564
- Number of partitions satisfying (cn(1,5) = cn(4,5) = 0 and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=52A036825
- Coordination sequence T3 for Zeolite Code AFN.at n=35A038401
- Sums of 4 distinct powers of 3.at n=47A038466
- Base-10 palindromes that start with 2.at n=16A043037