2850
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7440
- Proper Divisor Sum (Aliquot Sum)
- 4590
- 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
- 570
- Omega Function (Ω)
- 5
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 27
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=38A000384
- Number of sublattices of index n in generic 3-dimensional lattice.at n=48A001001
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=41A001767
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=37A003453
- Coefficient of x^6 in expansion of (1+x+x^2)^n.at n=7A005714
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=22A006416
- Coordination sequence T1 for Cordierite.at n=32A008251
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=37A008440
- Even triangular numbers.at n=37A014494
- Form array in which n-th row is obtained by expanding (1 + x + x^2)^n and taking the 4th column from the center.at n=6A014533
- a(n) = 2*n*(4*n - 1).at n=19A014635
- Number of ordered 5-tuples of integers from [ 1..n ] with no global factor.at n=10A015650
- Binomial coefficients C(n,74).at n=2A017738
- Binomial coefficients C(76,n).at n=2A017792
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CHI = Chiavennite Ca4Mn4[Be8Si20O52(OH)8].8H2O starting with a T2 atom.at n=13A019092
- Coordination sequence T3 for Zeolite Code CGF.at n=37A019453
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 7.at n=12A022171
- Gaussian binomial coefficients [ n,2 ] for q = 7.at n=2A022231
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 10.at n=13A022324
- Number of partitions of n into 8 unordered relatively prime parts.at n=31A023028