3540
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
- 24
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6540
- 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
- 928
- Möbius Function
- 0
- Radical
- 1770
- 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
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 118
- 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 partitions into non-integral powers.at n=27A000148
- From a definite integral.at n=8A002571
- a(n) = 2*n*(2*n-1).at n=30A002939
- McKay-Thompson series of class 11A for the Monster group with a(0) = -5.at n=9A003295
- Representation degeneracies for Ramond strings.at n=17A005303
- Coordination sequence T2 for Zeolite Code ATV.at n=38A008044
- Coordination sequence T2 for Zeolite Code SGT.at n=37A008230
- Coordination sequence T1 for Moganite.at n=38A008258
- Coordination sequence T1 for Zeolite Code RSN.at n=39A009885
- Coordination sequence for MgCu2, Cu position.at n=15A009930
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8).at n=27A017821
- Number of lines through exactly 3 points of an n X n grid of points.at n=19A018810
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T4 atom.at n=11A019161
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=45A023674
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (primes).at n=15A024478
- Duplicate of A024478.at n=15A025090
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (primes).at n=14A025098
- a(n) = self-convolution of row n of array T given by A027052.at n=7A027072
- Concatenation of n and n + 5 or {n,n+5}.at n=34A032610
- Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=29A035967