4067
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4788
- Proper Divisor Sum (Aliquot Sum)
- 721
- 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
- 3444
- Möbius Function
- 0
- Radical
- 581
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 113
- 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
- no
- Odd
- yes
Appears in sequences
- Euler transform of A000389.at n=6A000417
- Number of matrix bundles of codimension n (Euler transform of A001156).at n=18A007864
- Coordination sequence T1 for Zeolite Code AFI.at n=44A008014
- Coordination sequence T3 for Zeolite Code CAS.at n=39A008065
- Coordination sequence T2 for Zeolite Code MOR.at n=41A008183
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=22A015993
- Numbers k such that k^2+k+5 is a palindrome.at n=13A027718
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=20A045228
- Number of n-step self-avoiding walks on the square lattice with first step specified.at n=8A046661
- Number of n-celled pseudo still lifes in Conway's Game of Life, up to rotation and reflection.at n=16A056613
- Coordination sequence T5 for Zeolite Code SFE.at n=42A057321
- McKay-Thompson series of class 30d for Monster.at n=28A058625
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=22A065217
- Numbers k such that phi(k) + phi(k+1) = sigma(k).at n=10A067799
- Antidiagonal sums of square array A082025.at n=17A082190
- a(n) = x is the smallest number such that gcd(prime(x)-1,x-1) = n.at n=37A084315
- Trajectory of 1001 under "3x+1" map.at n=29A100709
- Matrix log of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=17A111833
- Numbers k such that the k-th triangular number contains only digits {2,7,8}.at n=7A119179
- a(n) = A000045(n) - A000931(n).at n=19A129973