2280
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 4920
- 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
- 576
- Möbius Function
- 0
- Radical
- 570
- 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
- 107
- 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 positive integers <= 2^n of form x^2 + y^2.at n=13A000050
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=37A000082
- Number of partitions into non-integral powers.at n=10A000263
- Number of regular sequences of length n.at n=5A003513
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=30A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=30A004944
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=36A006918
- a(n) = 2*binomial(n,3).at n=20A007290
- Coordination sequence T3 for Zeolite Code AFT.at n=36A008028
- Coordination sequence T2 for Zeolite Code BOG.at n=34A008050
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=36A008110
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=40A011908
- Expansion of e.g.f. tan(log(x+1) - arctan(x)).at n=7A013248
- Expansion of e.g.f. arctanh(log(x+1) - arctan(x)).at n=7A013254
- Number of partitions of 2*n into at most 4 parts.at n=32A014126
- Multiplicity of K_3 in K_n.at n=40A014557
- a(n) = n^2 - floor( n/2 ).at n=48A014848
- Expansion of g.f. 1/((1-4*x)*(1-6*x)*(1-8*x)).at n=3A019333
- Coordination sequence T2 for Zeolite Code CZP.at n=31A019457
- Fibonacci sequence beginning 1, 25.at n=11A022395