3640
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6440
- 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
- 1152
- Möbius Function
- 0
- Radical
- 910
- 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
- 43
- 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
- Expansion of e.g.f. exp((-x^3)/3)/(1-x).at n=7A000090
- a(n) = 5*binomial(2n, n-2)/(n+3).at n=6A000344
- a(n) = (11*n+1)*(11*n+10).at n=5A001536
- Degrees of irreducible representations of alternating group A_13.at n=26A003868
- Degrees of irreducible representations of symmetric group S_13.at n=49A003877
- Degrees of irreducible representations of symmetric group S_13.at n=50A003877
- Theta series of 15-dimensional unimodular lattice A15+.at n=3A004536
- Generalized Fibonacci numbers D_{n,2}.at n=12A006210
- Triple factorial numbers (3*n-2)!!! with leading 1 added.at n=5A007559
- Triple factorial numbers a(n) = n!!!, defined by a(n) = n*a(n-3), a(0) = a(1) = 1, a(2) = 2. Sometimes written n!3.at n=13A007661
- Expansion of e.g.f. log(1+sinh(x))/cos(x).at n=7A009354
- Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = Sum_{j=0..k} T(n-1,j).at n=61A009766
- a(n) = (n+1)*(2*n+1)*(3*n+1)*(4*n+1).at n=3A011245
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/9).at n=15A011919
- a(n) = Sum_{k=1..n} ceiling(k^4/n).at n=10A014816
- Expansion of 1/((1-x)(1-3x)(1-4x)(1-12x)).at n=3A021404
- Theta series of D*_15 lattice.at n=12A022068
- Theta series of A*_15 lattice.at n=48A023927
- Long leg of more than one primitive Pythagorean triangle.at n=30A024410
- Sequence satisfies T^2(a)=a, where T is defined below.at n=49A027590