4056
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10980
- Proper Divisor Sum (Aliquot Sum)
- 6924
- 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
- 1248
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 6
- 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
- 38
- 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
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional b.c.c. lattice.at n=2A002917
- 'Eban' numbers (the letter 'e' is banned!).at n=54A006933
- Coordination sequence T1 for Zeolite Code CAS.at n=39A008063
- Coordination sequence T2 for Zeolite Code MAZ.at n=44A008145
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=10A008663
- Expansion of (3 - 21*x + 4*x^2)/((x-1)*(x^2 - 6*x + 1)).at n=5A009759
- Coordination sequence for NiAs(1), As position.at n=26A009943
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=23A023541
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=39A024809
- 4th power of the lower triangular normalized Eulerian number matrix.at n=13A027539
- Second diagonal of A027539.at n=3A027544
- a(n) is the n-th diagonal sum of left justified array T given by A027960.at n=25A027975
- Graham-Sloane-type lower bound on the size of a ternary (n,3,7) constant-weight code.at n=5A030507
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 9.at n=41A031412
- Every run of digits of n in base 5 has length 2.at n=25A033003
- a(n) = 6*n^2.at n=26A033581
- Number of possible rook moves on an n X n chessboard.at n=12A035006
- Numbers whose square is a difference between 2 positive cubes in at least one way.at n=43A038597
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 3 skipped primes.at n=29A050770
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=31A052282