4816
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 10912
- Proper Divisor Sum (Aliquot Sum)
- 6096
- 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
- 2016
- Möbius Function
- 0
- Radical
- 602
- 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
- 20
- 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
- From a nim-like game.at n=30A003412
- a(n) = 6^n/8 - 4^(n-1) + 2^(n-3).at n=6A016283
- a(n) = (d(n)-r(n))/5, where d = A026043 and r is the periodic sequence with fundamental period (0,2,3,0,0).at n=38A026045
- Sequence satisfies T^2(a)=a, where T is defined below.at n=40A027593
- Every run of digits of n in base 13 has length 2.at n=29A033011
- Theta series of A2[hole]^4.at n=22A033690
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) = cn(4,5)).at n=47A036818
- Coordination sequence T5 for Zeolite Code SFF.at n=46A038436
- Multiples of 8 that are the difference of two positive cubes.at n=41A038850
- Numbers ending with '6' that are the difference of two positive cubes.at n=21A038861
- (n+4)^3 - n^3.at n=17A038866
- Triangle read by rows: matrix 4th power of the Stirling-1 triangle A008275.at n=33A039816
- Positive integers having more base-13 runs of even length than odd.at n=31A044839
- Number of polyominoes with n cells, symmetric about diagonal 2.at n=33A056878
- Numbers k such that floor(Pi*k) is a square.at n=44A061812
- Numbers k such that the number of steps to reach 1 in '3x+1' problem equals tau(k), the number of divisors of k.at n=12A070980
- Stirling2 triangle with scaled diagonals (powers of 2).at n=23A075497
- Triangle read by rows: n-th row gives trajectory of 2n under the map x->(x^2-4)/6, stopping when the next term would be negative or nonintegral.at n=18A081880
- Row sums in A083175.at n=13A083175
- a(n) is the difference between A084321(n) and the (n-1)th power of 2.at n=24A085355