3480
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 7320
- 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
- 896
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 30
- 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 ways of writing n as a sum of 6 squares.at n=17A000141
- Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=29A001608
- MacMahon's generalized sum of divisors function.at n=28A002127
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=14A002414
- Denominator in Feinler's formula for unsigned Bernoulli number |B_{2n}|.at n=14A002444
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=28A002790
- Expansion of (1+2*x+x^2)/(1-58*x+x^2).at n=2A004297
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=48A005449
- Denominators of Cauchy numbers of first type.at n=28A006233
- Numbers n such that n! has a square number of digits.at n=44A006488
- Solution to Pellian: x such that x^2 - n y^2 = +- 1, +- 4.at n=70A006704
- a(n) = denominator of Bernoulli(2n)/(2n).at n=13A006953
- Coordination sequence T1 for Zeolite Code AST.at n=43A008036
- Coordination sequence T1 for Zeolite Code MOR.at n=38A008182
- Theta series of {D_6}* lattice.at n=34A008425
- Expansion of (1-x^5) / (1-x)^5.at n=16A008487
- High-temperature expansion of susceptibility mu_2 for cubic lattice.at n=3A010043
- Magnetic susceptibility coefficients for square lattice spin 3 Ising model.at n=48A010117
- Magnetic susceptibility coefficients for square lattice spin 5/2 Ising model.at n=40A010119
- a(n) = floor(n*(n-1)*(n-2)/7).at n=30A011889