3204
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 8190
- Proper Divisor Sum (Aliquot Sum)
- 4986
- 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
- 1056
- Möbius Function
- 0
- Radical
- 534
- Omega Function (Ω)
- 5
- 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
- 61
- 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
- Number of n-step spirals on cubic lattice.at n=7A006779
- Coordination sequence T1 for Zeolite Code PHI.at n=41A008227
- Coordination sequence T1 for feldspar.at n=38A008254
- Coordination sequence T2 for Zeolite Code RSN.at n=37A009886
- Triangle read by rows: number of permutations of 1..n by length of longest run.at n=31A010026
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=17A014203
- Aliquot sequence starting at 660.at n=3A014362
- n written in fractional base 7/3.at n=53A024640
- Iterate the map in A006368 starting at 8.at n=49A028393
- Numerators of continued fraction convergents to sqrt(657).at n=8A042262
- Numbers whose base-7 representation contains exactly three 2's.at n=34A043403
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n-1.at n=34A044336
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n+1.at n=34A044717
- Numbers whose base-5 representation contains exactly three 0's and one 1.at n=42A045170
- Numbers whose base-5 representation contains exactly three 0's and one 3.at n=37A045200
- Numbers whose base-5 representation contains exactly three 0's and one 4.at n=35A045215
- Starting positions of strings of 2 5's in the decimal expansion of Pi.at n=32A050238
- e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2*k.at n=29A054979
- Numbers n such that 3*10^n - 1 is prime.at n=11A056703
- Numbers n such that the numerator of the rational number 1 + 1/2 + 1/3 + ... + 1/n is a prime number.at n=48A056903