3128
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 3352
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1408
- Möbius Function
- 0
- Radical
- 782
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 123
- 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
- Numbers k such that 15*2^k + 1 is prime.at n=24A002258
- Expansion of 1/((1-x)^4*(1+x)).at n=31A002623
- Numbers that are the sum of 4 positive 5th powers.at n=33A003349
- Primitive pseudoperfect numbers.at n=45A006036
- Primitive nondeficient numbers.at n=35A006039
- Number of polygons of length 4n on L-lattice.at n=8A006782
- E-trees with exactly 2 colors.at n=7A007143
- Coordination sequence T4 for Zeolite Code STI.at n=38A008237
- Expansion of e.g.f.: log(1+tanh(x))/cosh(x).at n=8A009392
- Coordination sequence for CaF2(2), Ca position.at n=25A009926
- Spontaneous magnetization coefficients for square lattice spin 2 Ising model.at n=39A010103
- a(n) = n*(n+1)*(4*n+5)/6.at n=16A016061
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NON = Nonasil-[ 4158 ] [Si88O176].4R starting with a T3 atom.at n=11A019213
- a(n) = prime(n)*prime(n-1) + 1.at n=16A023523
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=31A023856
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=30A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=30A024853
- dot product (n,n-1,...2,1).(3,4,...,n,1,2).at n=21A026054
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=16A028644
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=23A033579