4199
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 841
- 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
- 3456
- Möbius Function
- -1
- Radical
- 4199
- Omega Function (Ω)
- 3
- 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
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Coefficients of Legendre polynomials.at n=5A001795
- Numerators in expansion of sqrt(1+x). Absolute values give numerators in expansion of sqrt(1-x).at n=11A002596
- Number of polyhedral graphs with n edges.at n=12A002840
- Numerator of n!!/(n+3)!!.at n=19A004732
- Coordination sequence T3 for Zeolite Code BOG.at n=46A008051
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=30A008317
- Coordination sequence T1 for Zeolite Code -PAR.at n=46A009855
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=26A013592
- a(n) = a(n-1) + a(n-4), starting 1,1,1,3.at n=26A014101
- a(n) = n*(29*n + 1)/2.at n=17A022287
- Numbers k such that 105*2^k+1 is prime.at n=32A032402
- Nonprime; becomes prime if any digit is deleted (zeros not allowed in the number).at n=45A034304
- Dirichlet convolution of Fibonacci numbers with phi(n).at n=18A034748
- Coordination sequence T7 for Zeolite Code SFF.at n=43A038431
- Position of the first occurrence of n in continued fraction for Champernowne constant (A030167).at n=43A038706
- The sequence e, given that c is a left shift by one place of b.at n=58A041003
- Numbers whose base-8 representation has exactly 5 runs.at n=27A043627
- Product of 3 successive primes.at n=5A046301
- Starting positions of strings of 2 0's in the decimal expansion of Pi.at n=28A050201
- Numerators of coefficients of 1/2^(2n+1) in Newton's series for Pi.at n=12A054387