8544
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22680
- Proper Divisor Sum (Aliquot Sum)
- 14136
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2816
- Möbius Function
- 0
- Radical
- 534
- Omega Function (Ω)
- 7
- 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
- 26
- 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
- a(n) = n*a(n-1) + (n-4)*a(n-2), a(2) = 0, a(3) = 1.at n=6A001909
- Numbers k such that 2*3^k - 1 is prime.at n=23A003307
- High temperature series for internal energy for spherical model on f.c.c. lattice.at n=5A003498
- Denominators of approximations to e.at n=28A006259
- Denominators of convergents to e.at n=11A007677
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=27A025119
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 3.at n=9A025227
- 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 45.at n=31A031543
- Values of k for which there are no empty intervals when fractional_part(m*e) for m = 1, ..., k is plotted along [ 0, 1 ] subdivided into k equal regions.at n=13A036413
- a(n) = prime(n)*prime(n+1) - prime(n).at n=23A037166
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057046(n)=i(2^n).at n=26A057046
- Triangular array formed from successive differences of factorial numbers, then with factorials removed.at n=50A060475
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=38A063350
- The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to e = exp(1).at n=45A065370
- Triangle of numbers relating two simple context-free grammars (A052709 and A052705).at n=37A073152
- Table T(n,k) giving number of ways of obtaining exactly 0 correct answers on an (n,k)-matching problem (1 <= k <= n).at n=40A076731
- Number of tilings of a 5 X 3n rectangle with right trominoes.at n=4A084478
- Numbers k such that (k-1)*binomial(2k,k) + 1 is prime.at n=45A085793
- Triangle T(n, k), read by row, related to Euler's difference table A068106 (divide column k of A068106 by k!).at n=49A086764
- Number of triangles in an n X n unit grid that have minimal possible area (of 1/2).at n=10A088658