4338
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9438
- Proper Divisor Sum (Aliquot Sum)
- 5100
- 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
- 1440
- Möbius Function
- 0
- Radical
- 1446
- Omega Function (Ω)
- 4
- 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
- 77
- 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 k*3^k - 1 is prime.at n=14A006553
- Expansion of 1/(1 - 3*x*C(x)), where C(x) = (1 - sqrt(1 - 4*x))/(2*x) = g.f. for the Catalan numbers A000108.at n=6A007854
- Coordination sequence T7 for Zeolite Code DDR.at n=41A008077
- Coordination sequence for FeS2-Pyrite, Fe position.at n=32A009957
- Fibonacci sequence beginning 1, 18.at n=13A022108
- Numbers with exactly five distinct base-8 digits.at n=32A031985
- Coordination sequence T4 for Zeolite Code STF.at n=44A038439
- Number of ways to partition {1,...,n} into arithmetic progressions of length >= 1.at n=9A053732
- Numbers k such that k^2 has property that the sum of its digits and the product of its digits are nonzero squares.at n=44A061268
- Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1)*n)/(n-1) with a(n,0)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=48A067347
- Sum_{k=1..n} floor(n*(n-1)/(2*k)).at n=45A069627
- Interprimes which are of the form s*prime, s=18.at n=15A075293
- Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=17A075421
- Square root of coefficients of power series: A083352(x)^2 + A083352(x) - 1; term-by-term square root of A083353.at n=67A083354
- a(n) = smallest k such that the base 4 Reverse and Add! trajectory of A075421(n) joins the trajectory of k.at n=17A091676
- Expansion of Product_{m>=1} (1+m*(m+1)*q^m).at n=9A092485
- a(n) = digit reversal of A103741(n).at n=34A103763
- G.f.: Product_{i>=1} (1 - 2*(-x)^i)/(1 - (-x)^i)^2.at n=42A104510
- Limit set for operation of repeatedly replacing a number with the sum of the 4th power of its digits.at n=6A113708
- Riordan array (1/(1-3x*c(x)),xc(x)), c(x) the g.f. of A000108.at n=21A117375