1344
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
- 28
- Divisor Sum
- 4064
- Proper Divisor Sum (Aliquot Sum)
- 2720
- 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
- 384
- Möbius Function
- 0
- Radical
- 42
- 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
- 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
- 13
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=27A000082
- Generalized class numbers c_(n,1).at n=22A000233
- Coefficients of ménage hit polynomials.at n=6A000425
- Number of 1-factorizations of K_{n,n}.at n=5A000479
- a(n) is the solution to the postage stamp problem with n denominations and 4 stamps.at n=14A001214
- Expansion of 1/((1+x)*(1-x)^5).at n=13A001752
- a(n) = binomial(n,2) * 2^(n-1).at n=7A001815
- Number of 4 X n Latin rectangles in which the first row is in order.at n=1A003170
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=39A004011
- Number of walks on square lattice. Column y=3 of A052174.at n=5A005561
- Number of nonseparable toroidal tree-rooted maps with n + 2 edges and n + 1 vertices.at n=6A006414
- Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n^2/4) (i.e., A000217(n) + A002620(n)).at n=42A006578
- Trails of length n on honeycomb lattice.at n=10A006851
- Number of partitions of n into Fibonacci parts (with 2 types of 1).at n=23A007000
- Jordan function J_2(n) (a generalization of phi(n)).at n=38A007434
- Numbers that are divisible by the product of their digits.at n=47A007602
- Number of 4-level rooted trees with n leaves.at n=8A007713
- Expansion of (x^6-x^5-x^4+2x^2)/((1-x^3)(1-x^2)^2(1-x)).at n=41A007988
- Coordination sequence T2 for Zeolite Code BOG.at n=26A008050
- Coordination sequence T3 for Zeolite Code DAC.at n=23A008069