2664
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
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7410
- Proper Divisor Sum (Aliquot Sum)
- 4746
- 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
- 864
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 6
- 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
- 115
- 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
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0).at n=16A001631
- Theta series of Borcherds' 27-dimensional unimodular lattice U_27.at n=3A002482
- Sum of Gaussian binomial coefficients [ n,k ] for q=3.at n=5A006117
- Coordination sequence T1 for Moganite.at n=33A008258
- Coordination sequence T2 for Moganite, also for BGB1.at n=33A008259
- Coordination sequence for quartz.at n=29A008261
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=11A010012
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=38A011901
- Theta series of A*_8 lattice.at n=22A023920
- Numbers k such that k^2 is palindromic in base 11.at n=22A029996
- Number of series-reduced dyslexic planted compound windmills with n leaves.at n=9A032292
- a(n) = 4*n*(2*n + 1).at n=18A033586
- Expansion of Product_{d | 36} theta_3(q^d).at n=40A033748
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 3).at n=33A035536
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=46A035585
- Number of partitions of 3n with same number of parts == 1 (mod 3) and == 2 (mod 3).at n=11A035592
- Product of n with sum of next n consecutive integers.at n=11A036659
- Numbers having three 0's in base 6.at n=36A043371
- Numbers n such that string 5,8 occurs in the base 9 representation of n but not of n-1.at n=36A044304
- Numbers k such that the string 8,0 occurs in the base 9 representation of k but not of k-1.at n=35A044323