6848
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
- 14
- Divisor Sum
- 13716
- Proper Divisor Sum (Aliquot Sum)
- 6868
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3392
- Möbius Function
- 0
- Radical
- 214
- Omega Function (Ω)
- 7
- 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
- 106
- 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
- Coordination sequence for CaF2(2), Ca position.at n=37A009926
- Expansion of arcsin(sinh(x)*sinh(x)).at n=4A012571
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=41A024974
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=40A025400
- Numbers with 14 divisors.at n=29A030632
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 41.at n=22A031539
- Write 1,2,... in a clockwise spiral; sequence gives numbers on positive x axis.at n=41A033951
- Trajectory of 1 under map n->43n+1 if n odd, n->n/2 if n even.at n=13A033977
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=50A036025
- a(n) = Xpower(n,3).at n=28A048732
- Numbers k such that 2^k + 21 is prime.at n=29A057201
- Harmonic mean of digits is 6.at n=12A062184
- Second binomial transform of expansion of exp(cosh(2*x)).at n=6A081561
- Nonprimes in A084111.at n=40A084112
- Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.at n=41A098491
- Number of partitions of n with parts occurring at most thrice and an odd number of parts. Row sums of A098490.at n=41A098492
- a(n) = 4*a(n-1)-3*a(n-2) -3*a(n-3) +2*a(n-4) + a(n-5), n>7.at n=10A107381
- Numbers k such that the k-th Catalan number C(2k, k)/(k + 1) is divisible by k/2 but not divisible by k.at n=35A120622
- Central terms of pendular trinomial triangle A122445.at n=9A122447
- Number of integer-sided triangles with all sides <= n and sides relatively prime.at n=44A123324