3216
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 8432
- Proper Divisor Sum (Aliquot Sum)
- 5216
- 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
- 402
- 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
- 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
- 22
- 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
- 3rd differences of factorial numbers.at n=4A001565
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=22A002653
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional f.c.c. lattice.at n=3A002918
- Convolution of Fibonacci numbers 1,2,3,5,... with themselves.at n=11A004798
- Coordination sequence T1 for Zeolite Code AFR.at n=43A008019
- Coordination sequence T1 for Zeolite Code LEV.at n=42A008127
- Coordination sequence T3 for Zeolite Code MTW.at n=37A008198
- Coordination sequence T1 for Milarite.at n=35A008256
- Powers of fourth root of 12 rounded down.at n=13A018078
- Powers of fourth root of 12 rounded to nearest integer.at n=13A018079
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 9.at n=37A031412
- "CHJ" (necklace, identity, labeled) transform of 1,2,3,4...at n=5A032331
- Number of partitions of 5n such that cn(0,5) = cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5).at n=10A036884
- Numbers k such that tau(sigma(k)) = tau(k) where tau(k) is the number of divisors of k and sigma(k) their sum.at n=39A037197
- Numbers whose square is a difference between 2 positive cubes in at least one way.at n=39A038597
- Smallest k for which k, 2k, ... nk all contain the digit 6.at n=5A039937
- Numbers k such that the string 6,3 occurs in the base 9 representation of k but not of k-1.at n=43A044308
- Numbers k such that the string 1,6 occurs in the base 10 representation of k but not of k-1.at n=36A044348
- Numbers n such that string 1,6 occurs in the base 10 representation of n but not of n+1.at n=36A044729
- Triangular array formed from successive differences of factorial numbers.at n=31A047920