2720
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6804
- Proper Divisor Sum (Aliquot Sum)
- 4084
- 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
- 1024
- Möbius Function
- 0
- Radical
- 170
- Omega Function (Ω)
- 7
- 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
- 14
- 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 ways of writing n as a sum of 5 squares.at n=30A000132
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=29A003451
- Theta series of D_5 lattice.at n=15A005930
- Number of shapes of height-balanced AVL trees with n nodes.at n=16A006265
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=32A006584
- Series for first parallel moment of square lattice.at n=10A006732
- Coordination sequence T5 for Zeolite Code AET.at n=36A008011
- Coordination sequence T1 for Cordierite.at n=31A008251
- Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope).at n=10A008412
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=39A008665
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=17A011931
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).at n=18A011937
- Number of partitions of n into distinct parts, none being 6.at n=51A015753
- Coordination sequence for C_4 lattice.at n=5A019560
- a(n) = Sum_{k >= 1} floor(2*tau^(n-k)).at n=13A020957
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=29A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=29A024853
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=28A024854
- Numbers that are the sum of 4 nonzero squares in exactly 7 ways.at n=31A025363
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026725.at n=16A026735