3314
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4974
- Proper Divisor Sum (Aliquot Sum)
- 1660
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1656
- Möbius Function
- 1
- Radical
- 3314
- Omega Function (Ω)
- 2
- 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
- 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
- 74
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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 phi(k) = phi(k+2).at n=47A001494
- Number of achiral planar maps with n edges.at n=7A006443
- Coordination sequence T1 for Coesite.at n=30A008267
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=12A010013
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=19A020354
- Numbers k such that 25*2^k+1 is prime.at n=21A032362
- Number of isomers of alkyl homologs of adamantane with n carbon atoms.at n=6A036996
- Numbers k such that the string 8,2 occurs in the base 9 representation of k but not of k-1.at n=44A044325
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=37A044346
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n+1.at n=37A044727
- Partial sums of the sequence (A001097) of twin primes.at n=31A048598
- Numbers n such that 147*2^n-1 is prime.at n=22A050599
- Duplicate of A006443.at n=6A054936
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=30A075342
- Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy*f(x,y)^4 and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy*g(x,y)^2 = 0.at n=31A089447
- Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy*f(x,y)^4 and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy*g(x,y)^2 = 0.at n=32A089447
- a(0)=0 and for n>0, a(n) is the smallest positive integer that cannot be derived by the adding or subtracting at most three terms with values in {a(0),...,a(n-1)} allowing repeats.at n=34A096077
- Numbers k such that A098037(k) sets a new record. A098037 is the number of prime divisors (counting multiplicity) of the sums of two consecutive primes.at n=10A098048
- Numbers n such that 8*10^n + 3*R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=16A103078
- If mod[n,4]=0 then a(n)=a(n-1), if mod[n,4]=1 then a(n)=a(n-2)+a(n-3), if mod[n,4]=2 then a(n)=a(n-3)+a(n-4)+a(n-5), if mod[n,4]=2 then a(n)=a(n-4)+a(n-5)+a(n-6)+a[n-7].at n=30A104205