5184
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
- 35
- Divisor Sum
- 15367
- Proper Divisor Sum (Aliquot Sum)
- 10183
- 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
- 1728
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 10
- 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
- yes
- 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
- 28
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=40A000423
- Jordan-Polya numbers: products of factorial numbers A000142.at n=49A001013
- Theta series of E_6 lattice.at n=10A004007
- Theta series of {E_6}* lattice.at n=17A005129
- Theta series of {E_6}* lattice.at n=30A005129
- Smallest number with exactly n divisors.at n=34A005179
- a(n) = (prime(n) - 1)^2.at n=20A005722
- Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=16A005934
- The minimal numbers: sequence A005179 arranged in increasing order.at n=32A007416
- Numbers k such that phi(k) divides k.at n=51A007694
- Coordination sequence T2 for Zeolite Code ATV.at n=46A008044
- Coordination sequence T6 for Zeolite Code MTW.at n=47A008201
- Coordination sequence T3 for Zeolite Code NES.at n=46A008207
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=34A008233
- floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).at n=43A008381
- a(n) = Product_{i=0..6} floor((n+i)/7).at n=24A009641
- Coordination sequence T3 for Zeolite Code VSV.at n=46A009916
- Even squares: a(n) = (2*n)^2.at n=36A016742
- a(n) = (3*n)^2.at n=24A016766
- a(n) = (4*n)^2.at n=18A016802