2100
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 6944
- Proper Divisor Sum (Aliquot Sum)
- 4844
- 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
- 480
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Squares written in base 4.at n=12A001739
- Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k.at n=54A002093
- Generalized sum of divisors function.at n=34A002132
- a(n) = (n+2) * (2n+1) * (2n-1)! / (n-1)!.at n=3A002691
- Number of partitions of n into parts 5k+1 or 5k+4.at n=57A003114
- Degrees of irreducible representations of symmetric group S_12.at n=50A003876
- Fibonacci numbers written in base 4.at n=12A004687
- Number of simplices in barycentric subdivision of n-simplex.at n=3A005461
- Number of paraffins.at n=19A005997
- Some permutation of digits is a factorial number.at n=34A007926
- Some nontrivial permutation of digits is a factorial number.at n=28A007927
- Coordination sequence T2 for Zeolite Code BRE.at n=30A008059
- Coordination sequence T6 for Zeolite Code DDR.at n=29A008076
- Coordination sequence T2 for Zeolite Code MFI.at n=29A008165
- Coordination sequence T9 for Zeolite Code MFI.at n=29A008172
- Theta series of A_6 lattice.at n=7A008446
- Coordination sequence for 4-dimensional primitive di-isohexagonal orthogonal lattice.at n=7A008530
- Expansion of cos(x*log(1+x)).at n=7A009031
- Triangle of coefficients in expansion of (1+10x)^n.at n=30A013617
- Number of n X n matrices with entries 0 and 1 and no 2 X 2 submatrix of form [ 1 1; 1 0 ].at n=4A014235