6893
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
- 7068
- Proper Divisor Sum (Aliquot Sum)
- 175
- 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
- 6720
- Möbius Function
- 1
- Radical
- 6893
- 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
- 57
- 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
- Denominators of continued fraction convergents to sqrt(207).at n=10A041385
- Numbers having three 5's in base 8.at n=36A043443
- Number of 7 X 7 binary matrices with n=0..49 ones up to row and column permutations.at n=11A053304
- Surround numbers of a length 2n zig-zag.at n=22A060641
- 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=40A061429
- a(n) = 4*(n+1)*n + 5.at n=41A078370
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,4}.at n=24A079964
- Composite numbers k such that the continued fraction for k/m contains no 2 for any 1 <= m <= k.at n=24A082409
- a(n) = Sum_{k=1..n} (lcm(n,n-1,...,n-k+2,n-k+1)/lcm(1,2,...,k)).at n=13A093431
- Number of positive words of length n in the monoid Br_7 of positive braids on 8 strands.at n=6A097554
- Binomial transform of the "1,2,3,..." triangle.at n=62A125027
- floor((log(4)/log(3))^n).at n=38A140881
- Minimal number such that a(n)*41^n is of the form x^2 + x + 41.at n=3A147522
- 2-comma numbers: n occurs in the sequence S[k+1] = S[k] + 10*last_digit(S[k-1]) + first_digit(S[k]) for two different splittings n=concat(S[0],S[1]).at n=37A166512
- Expansion of g.f.: -1/(-1 + x + x^4 - x^10 + x^13 + x^14).at n=30A174578
- Number of 2 X 2 nonsingular 0..n matrices with a(1,1) <= a(1,2) <= a(2,1) <= a(2,2).at n=17A183763
- Partial sums of the union of squares and triangular numbers.at n=45A193711
- E.g.f.: Product_{n>=1} B(x^n) where B(x) = exp(exp(x)-1) = e.g.f. of Bell numbers.at n=6A209903
- Numbers of the form (4k+3)^2+4 or (4k+5)^2-8.at n=40A214393
- Number of nX3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops.at n=3A221348