4080
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
- 40
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 9312
- 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
- 510
- Omega Function (Ω)
- 7
- 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
- 51
- 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
- Orders of noncyclic simple groups (without repetition).at n=9A001034
- Number of degree-n irreducible polynomials over GF(2); number of n-bead necklaces with beads of 2 colors when turning over is not allowed and with primitive period n; number of binary Lyndon words of length n.at n=16A001037
- Glaisher's function H'(4n+1) (18 squares version).at n=23A002610
- Number of trees by stability index.at n=17A003427
- Degrees of irreducible representations of Held group He.at n=12A003912
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=17A007531
- Coordination sequence T4 for Zeolite Code DDR.at n=40A008074
- Coordination sequence T3 for Zeolite Code SGT.at n=40A008231
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=13A008663
- Floor[n(n-1)(n-2)(n-3)/14].at n=17A011924
- a(n) = floor(n(n-1)(n-2)(n-3)/18).at n=18A011928
- a(n) is the concatenation of n and 2n.at n=39A019550
- Theta series of A*_16 lattice.at n=25A023928
- a(n) = 8^n-n^2.at n=4A024090
- Areas of right triangles with coprime integer sides.at n=26A024365
- Ordered areas of primitive Pythagorean triangles.at n=28A024406
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 18 (most significant digit on right).at n=20A029511
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 21 (most significant digit on right).at n=14A029514
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=23A029695
- Triangular array read by rows associated with Schroeder numbers: T(1,k) = 1; T(n,k) = 0 if k < n; T(n,k) = T(n,k-1) + T(n-1,k-1) + T(n-1,k).at n=49A033877