4012
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 3548
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1856
- Möbius Function
- 0
- Radical
- 2006
- Omega Function (Ω)
- 4
- 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
- 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 x*(1+x-x^2)/((1-x)^4*(1+x)).at n=34A005744
- Series for first parallel moment of hexagonal lattice.at n=6A006736
- Numbers k such that sigma(k) = sigma(k+12).at n=28A015882
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=32A024305
- Sequence satisfies T(a)=a, where T is defined below.at n=45A027592
- Numbers k such that k^2+k+5 is a palindrome.at n=12A027718
- Take list of squares, move left digit of each term to end of previous term.at n=50A032760
- Multiplicity of highest weight (or singular) vectors associated with character chi_185 of Monster module.at n=38A034573
- Coordination sequence T5 for Zeolite Code STT.at n=42A038415
- Coordination sequence T16 for Zeolite Code STT.at n=42A038425
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=15A045228
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=28A050035
- Numbers n such that 93*2^n-1 is prime.at n=20A050572
- a(n) = n*(n+1)*(n^2+5*n+18)/24.at n=15A051744
- Positions in decimal expansion of Pi where next prime begins.at n=27A053013
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=27A054275
- McKay-Thompson series of class 24I for Monster.at n=22A058579
- Triangle T(n,k) read by rows, giving number of matroids of rank k on n labeled points (n >= 0, 0 <= k <= n).at n=33A058669
- Triangle T(n,k) read by rows, giving number of matroids of rank k on n labeled points (n >= 0, 0 <= k <= n).at n=30A058669
- Number of matroids of rank 2 on n labeled points.at n=7A058681