2744
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6000
- Proper Divisor Sum (Aliquot Sum)
- 3256
- 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
- 1176
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- yes
- 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
- 128
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of n-node rooted trees of height 6.at n=12A000393
- The cubes: a(n) = n^3.at n=14A000578
- Number of equivalence classes of Boolean functions of n variables under GL(n,2).at n=4A000585
- Powers of 14.at n=3A001023
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=43A001485
- Numbers of form 2^i*7^j, with i, j >= 0.at n=31A003591
- Expansion of g.f.: (1+x)/(1-7*x).at n=4A003950
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=39A006501
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4).at n=57A008218
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4).at n=56A008218
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=29A008233
- floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).at n=37A008381
- a(n) = n OR n^3 (applied to ternary expansions).at n=13A008469
- Expansion of tan(sinh(x))/cos(x) (odd powers only).at n=3A009684
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=43A013583
- Triangle of coefficients in expansion of (2 + 7*x)^n.at n=13A013623
- a(n) = 14^(2*n + 1).at n=1A013719
- a(n) = 14^(4*n+3).at n=0A013801
- a(n) = 14^(5*n + 3).at n=0A013872
- Even cubes: a(n) = (2*n)^3.at n=7A016743