6839
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7824
- Proper Divisor Sum (Aliquot Sum)
- 985
- 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
- 5856
- Möbius Function
- 1
- Radical
- 6839
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 150
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of partitions of n into partition numbers.at n=52A007279
- Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(2,10).at n=5A019475
- a(n) = 5*a(n-1) + a(n-2) - 2*a(n-3).at n=5A019476
- Composite numbers whose prime factors have no digits other than 7's and 9's.at n=9A036324
- Expansion of 1/((1+x)*(1-2*x+2*x^2-2*x^3)).at n=22A052942
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=39A061429
- a(n) = n*(5*n^2 - 3)/2.at n=14A063522
- Let Pi= sum(k>=0, u(k)/k!) where u(k)>=0 are integer (u(k)=A075874(k)), then sequence gives values of m such that u(m)=0.at n=10A083303
- Number of truncated ST-pairs O(q^n).at n=21A094866
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=18A115932
- Numbers k such that k^4 contains a pandigital substring.at n=16A115934
- a(n) = n^3 - n - 1.at n=18A126420
- Numbers k such that either k or k+1 is divisible by the numbers from 1 to 10.at n=9A131663
- A bisection of A063522.at n=7A160699
- Alternate partial sums of binomial(3n,n)^2.at n=3A188680
- Length of longest prefix of A096095(n) that is also a prefix of A096095(n+1).at n=54A197945
- Number of zero-sum -n..n arrays of 4 elements with adjacent element differences also in -n..n.at n=14A202254
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|-|y-z|.at n=21A212577
- Principal diagonal of the convolution array A213836.at n=13A213837
- Sum of absolute values of real and imaginary parts of the coefficients in the expansion of 1 / (1 - x - I*x^2), where I^2=-1.at n=25A218137