2684
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5208
- Proper Divisor Sum (Aliquot Sum)
- 2524
- 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
- 1200
- Möbius Function
- 0
- Radical
- 1342
- Omega Function (Ω)
- 4
- 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
- 97
- 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
- Number of equivalence classes with primitive period n of base 3 necklaces, where necklaces are equivalent under rotation and permutation of symbols.at n=10A002075
- Catalan numbers written backwards.at n=9A004096
- Number of fixed n-celled self-avoiding polygons on square lattice.at n=7A006724
- Oscillates under partition transform.at n=38A007210
- Coordination sequence T2 for Zeolite Code AWW.at n=37A008046
- Coordination sequence T3 for Zeolite Code LOV.at n=34A008136
- Coordination sequence T11 for Zeolite Code MFI.at n=33A008163
- Coordination sequence T1 for Coesite.at n=27A008267
- If a, b in sequence, so is ab+4.at n=42A009303
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=31A024802
- Numbers k such that k^2 is palindromic in base 3.at n=30A029984
- Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).at n=9A036883
- Denominators of continued fraction convergents to sqrt(123).at n=3A041223
- Base-5 palindromes that start with 4.at n=19A043009
- Numbers n such that string 1,2 occurs in the base 9 representation of n but not of n-1.at n=37A044262
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=28A044416
- Numbers k such that string 1,2 occurs in the base 9 representation of k but not of k+1.at n=37A044643
- Numbers n such that string 8,4 occurs in the base 10 representation of n but not of n+1.at n=28A044797
- Numbers with multiplicative persistence value 5.at n=24A046514
- Number of 11-core partitions of n.at n=38A053691