1764
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
- 4
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 5187
- Proper Divisor Sum (Aliquot Sum)
- 3423
- 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
- 504
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 6
- 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
- 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
- 29
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Unsigned Stirling numbers of first kind, s(n+1,2): a(n+1) = (n+1)*a(n) + n!.at n=6A000254
- Squares that are not the sum of 2 nonzero squares.at n=25A000548
- a(n) = (2*n)!*(2*n+1)! / (n! * (n+1)!)^2.at n=4A000891
- Squares of Catalan numbers.at n=5A001246
- Squares of partition numbers.at n=10A001255
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=40A001263
- Perfect powers: m^k where m > 0 and k >= 2.at n=53A001597
- Squares and cubes.at n=51A002760
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=10A004112
- a(n) is the number of n-step walks on square lattice such that 0 <= y <= x at each step.at n=8A005558
- a(n) = (prime(n) - 1)^2.at n=13A005722
- a(n) = C(floor(n/2 + 1/2))*C(floor(n/2 + 1)) where C(i) = Catalan numbers A000108.at n=9A005817
- a(n) = binomial(n+5,5) * binomial(n+5,4)/(n+5).at n=4A006857
- Erroneous version of A048798.at n=40A007914
- Coordination sequence T5 for Zeolite Code NES.at n=27A008209
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=26A008233
- Coordination sequence T1 for Zeolite Code GIS.at n=31A008266
- floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).at n=33A008381
- Triangle read by rows of differences of reciprocals of unity.at n=16A008969
- Powers of 42.at n=2A009986