8064
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
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 26520
- Proper Divisor Sum (Aliquot Sum)
- 18456
- 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
- 2304
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 10
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 114
- 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
- Order of the group SL(2,Z_n).at n=20A000056
- Generalized class numbers c_(n,1).at n=46A000233
- Number of permutations of length n by rises.at n=3A001279
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=27A001766
- Fourier coefficients of E_{infinity,4}.at n=20A007331
- Theta series of {D_7}^{+} packing.at n=47A008435
- Theta series of A_6 lattice.at n=15A008446
- Degrees of irreducible representations of group U6(2).at n=24A008948
- Expansion of e.g.f. cosh(log(1+x)*exp(x)).at n=9A009135
- Irregular triangle read by rows: T(n,k) (n>=1, 0 <= k <= floor(n/2)) = number of permutations of 1..n with exactly floor(n/2) - k runs of consecutive pairs up.at n=25A010029
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=64A011913
- exp(sin(x)-arcsinh(x)) = 1-8/5!*x^5+224/7!*x^7-11024/9!*x^9+8064/10!*x^10...at n=10A013376
- Expansion of e.g.f.: exp(tan(x)-arctanh(x))=1-8/5!*x^5-448/7!*x^7-32384/9!*x^9+8064/10!*x^10...at n=10A013456
- Triangle of coefficients in expansion of (1+2*x)^n.at n=60A013609
- Number of divisors of A019505(n).at n=47A020697
- Expansion of Product_{m>=1} (1 + q^m)^(2*m).at n=12A026011
- Greatest number in row n of array T given by A027157.at n=10A027168
- a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.at n=11A027382
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.at n=43A028700
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=20A029482