6895
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9504
- Proper Divisor Sum (Aliquot Sum)
- 2609
- 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
- 4704
- Möbius Function
- -1
- Radical
- 6895
- 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
- 88
- 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
- Expansion of e.g.f.: tan(tanh(x)*exp(x)).at n=7A009721
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=34A020443
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=21A045151
- Truncated square pyramid numbers: a(n) = Sum_{k = n..2*n} k^2.at n=14A050409
- McKay-Thompson series of class 42D for Monster.at n=46A058674
- Numbers k such that the period of the continued fraction for sqrt(2)*k (A064848) is 2.at n=38A065029
- Number of polyhexes with n cells that tile the plane by translation.at n=11A075207
- Consider all Pythagorean triples (X,X+7,Z); sequence gives Z values.at n=13A076294
- Number of partitions with maximum rectangle <= n.at n=13A115725
- a(n) = Sum_{k=0..floor(n/2)} A000108(n-k).at n=9A129366
- a(n) = Sum_{k=0..floor(n/2)} (n-k)^2.at n=28A129371
- Sum of all repeated parts of all partitions of n.at n=18A163986
- Eight rooks and one berserker on a 3 X 3 chessboard. G.f.: 1/(1 - 4*x - 3*x^2 + 6*x^3).at n=6A180146
- Number of strings of numbers x(i=1..5) in 0..n with sum i^2*x(i)^2 equal to n^2*25.at n=44A184243
- Triangle of partial sums of Catalan numbers.at n=50A210658
- Second 13-gonal numbers: a(n) = n*(11*n+9)/2.at n=35A211013
- Coefficients of (x^(1/3)*d/dx)^n for positive integer n.at n=35A223533
- Number of nondecreasing -n..n vectors of length 4 whose dot product with some nondecreasing -n..n vector equals 4.at n=8A226412
- The Wiener index of the graph obtained by applying Mycielski's construction to the cycle graph C(n).at n=28A228320
- G.f.: Sum_{n>=0} x^n/(1-x)^(6*n) * Sum_{k=0..n} C(n,k)^2 * x^k.at n=6A249794