5742
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 8298
- 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
- 1680
- Möbius Function
- 0
- Radical
- 1914
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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) = F(n+2) - 2^[ (n+1)/2 ] - 2^[ n/2 ] + 1.at n=18A005673
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=39A007332
- Theta series of A_8 lattice.at n=4A008448
- a(n) = Sum_{k=0..n} (k+1) * A026747(n, k).at n=9A027227
- [ exp(3/23)*n! ].at n=6A030826
- Sum of the first n palindromes (A002113).at n=41A046489
- a(n) = Fibonacci(2*n)-2^n+1.at n=10A047790
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/3.at n=17A048001
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n+1)/3.at n=17A048047
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n+2)/3.at n=17A048080
- Golden rectangular box numbers: a(n) = n*A007067(n)*A007067(A007067(n)).at n=11A050510
- Expansion of (2-3*x-x^2)/((1-x)*(1-2*x-x^2)).at n=10A052937
- Numbers n such that n^2 contains exactly 8 different digits.at n=28A054036
- a(n) = (5*n + 4)*binomial(n+7,7)/4.at n=5A056125
- Triangle T(n,k) arising from enumeration of permutations with ordered orbits, read by rows (1<=k<=n).at n=30A059418
- Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,...at n=36A062708
- a(n) = 3*n*(4*n-1).at n=22A062783
- Expansion of (1-x)/(1+x+2*x^2-2*x^3).at n=15A078048
- Numbers m that divide binomial(m*(m+1), m+1)/m^2.at n=37A082529
- a(n) is the smallest number m such that for the n-digit number s=10^(n-1)+ m, 10*s+1, 10*s+3, 10*s+7 and 10*s+9 are primes.at n=9A097639