6927
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9240
- Proper Divisor Sum (Aliquot Sum)
- 2313
- 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
- 4616
- Möbius Function
- 1
- Radical
- 6927
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 106
- 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
- Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.at n=23A019459
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=45A026036
- 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 27.at n=36A031525
- Array read by antidiagonals: T(k,d) = number of different hyperplanes in d-space with integer coefficients in set {-k,...,-1,0,1,...,k}.at n=23A061559
- Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once.at n=2A064160
- a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A074339
- Number of permutations of length n which avoid the patterns 1342, 3214, 4312.at n=9A116808
- a(0)=1, a(1)=3, a(n) = 4*a(n-1) + 3*a(n-2) for n > 1.at n=6A122558
- List of primes with digits grouped into clumps of four. Leading zeros are not printed.at n=35A136420
- Exactly 10 consecutive odd integers starting with n are composite.at n=34A162023
- a(n) = floor((1 + 1/Pi)^n).at n=31A179492
- Constant term in the reduction by (x^2 -> x + 1) of the polynomial p(n,x) defined below at Comments.at n=9A192906
- Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4.at n=17A196073
- Euler transform of period 5 sequence [ 2, 1, 1, 2, 1, ...].at n=21A205183
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-5.at n=3A211908
- T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-k-1.at n=24A211910
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 9 as largest digit.at n=24A257485
- Expansion of f(-x^3) * f(-x^6) / (f(x) * f(-x^4)) in powers of x where f() is a Ramanujan theta function.at n=28A261252
- Bases b for which there exists an integer y such that y^2 in base b consists of three identical digits.at n=46A290172
- a(n) = number of segments (edges) in the configuration A290447(n).at n=18A290866