2196
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 5642
- Proper Divisor Sum (Aliquot Sum)
- 3446
- 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
- 0
- Radical
- 366
- Omega Function (Ω)
- 5
- 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
- 94
- 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
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=41A001365
- Numbers that are the sum of 12 positive 6th powers.at n=36A003368
- Numbers that are the sum of 10 positive 7th powers.at n=11A003377
- x^3 + n*y^3 = 1 is solvable.at n=42A005988
- Number of paraffins (see Losanitsch reference for precise definition).at n=10A006010
- Coordination sequence T2 for Zeolite Code MFS.at n=29A008174
- Coordination sequence T1 for Zeolite Code NES.at n=30A008205
- Coordination sequence T1 for Zeolite Code CON.at n=33A009868
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).at n=17A011936
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=19A014818
- Coordination sequence T8 for Zeolite Code TER.at n=31A016440
- Number of lines through exactly 7 points of an n X n grid of points.at n=43A018814
- (n-2)nd Catalan number is congruent to n/3 mod n.at n=47A019467
- Expansion of Product_{m>=1} 1/(1 - m*q^m)^6.at n=5A022730
- Numbers with 18 divisors.at n=37A030636
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=23A033026
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=18A033701
- Multiplicity of highest weight (or singular) vectors associated with character chi_62 of Monster module.at n=33A034450
- Numbers n such that fractional part of e^(Pi*sqrt(n)) > 0.99.at n=40A035484
- Number of partitions of n into parts not of the form 25k, 25k+6 or 25k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=26A036005