3240
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
- 40
- Divisor Sum
- 10890
- Proper Divisor Sum (Aliquot Sum)
- 7650
- 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
- 864
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=44A000082
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=52A000223
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=42A007374
- Coordination sequence T1 for Zeolite Code AFY.at n=47A008029
- Coordination sequence T3 for Zeolite Code DOH.at n=35A008080
- Coordination sequence T2 for Zeolite Code HEU.at n=37A008117
- Theta series of A_5 lattice.at n=20A008445
- Denominators of coefficients in expansion of cube root of sin(x).at n=2A008994
- Coordination sequence T1 for Zeolite Code -CHI.at n=36A009846
- Coordination sequence T5 for Zeolite Code VET.at n=35A009906
- Spontaneous magnetization coefficients for square lattice spin 2 Ising model.at n=37A010103
- Spontaneous magnetization coefficients for square lattice spin 3 Ising model.at n=57A010104
- Spontaneous magnetization coefficients for square lattice spin 5/2 Ising model.at n=47A010106
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=40A014105
- Even triangular numbers.at n=40A014494
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=44A014573
- Expansion of (theta_3 / theta_4)^3.at n=5A014970
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=28A015708
- Expansion of 1/((1-6*x)*(1-12*x)).at n=3A016175
- Binomial coefficients C(n,79).at n=2A017743