5760
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
- 19890
- Proper Divisor Sum (Aliquot Sum)
- 14130
- 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
- 1536
- Möbius Function
- 0
- Radical
- 30
- 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
- 23
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Order of the group SL(2,Z_n).at n=19A000056
- Jordan-Polya numbers: products of factorial numbers A000142.at n=50A001013
- a(n) = n! + (n-1)!.at n=6A001048
- Denominators of coefficients for numerical integration.at n=1A002198
- Denominators of coefficients in Taylor series expansion of log(1+x)^2/sqrt(1+x).at n=5A002552
- Denominators of coefficients for numerical differentiation.at n=2A002555
- Ratios of successive terms are 1,2,2,3,4,4,5,6,6,...at n=8A004527
- a(n) = n! * Fibonacci(n).at n=6A005443
- Number of walks on square lattice. Column y=3 of A052174.at n=6A005561
- a(0) = 1; for n > 0, a(n) = (prime(n)-1)*a(n-1).at n=6A005867
- Smallest k such that sigma(x) = k has exactly n solutions.at n=37A007368
- Triangle of D'Arcais numbers.at n=21A008298
- Expansion of e.g.f.: sin(x)*exp(tan(x)).at n=8A009543
- Expansion of e.g.f. sinh(tan(x))*sin(x) (even powers only).at n=4A009606
- Expansion of tanh(log(1+1/x)).at n=6A009769
- Bisection of A001400.at n=44A014125
- Expansion of 1/((1-4x)(1-8x)(1-12x)).at n=3A019677
- n written in fractional base 8/5.at n=48A024647
- Numbers that are the sum of 4 nonzero squares in exactly 6 ways.at n=47A025362
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=19A029482