4339
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4340
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4338
- Möbius Function
- -1
- Radical
- 4339
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 77
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 593
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=39A001133
- Primes of the form 2^a + 3^b.at n=42A004051
- Crystal ball sequence for D_9 lattice.at n=2A008377
- Numerator of Sum_{k=1..n} 1/phi(k).at n=21A028415
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 65.at n=11A031563
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=3A031820
- Lower prime of a difference of 10 between consecutive primes.at n=59A031928
- Numbers whose set of base-15 digits is {1,4}.at n=21A032827
- Primes p such that both p-2 and 2p-1 are prime.at n=30A038869
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=12A045079
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=9A046014
- Number of different values of i^2+j^2+k^2+l^2 for i,j,k,l in [ 0,n ].at n=36A047801
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 5.at n=45A050667
- Fifth column of triangle A055252.at n=6A055581
- Primes q of form q = 10p + 9, where p is also prime.at n=42A055784
- Primes p such that x^3 = 2 has more than one solution mod p and the sum of the (three) solutions is 2*p.at n=42A059914
- Primes with 10 as smallest positive primitive root.at n=11A061323
- Limits of the recursion b(i+1)=B_[i](b(i)), where b(1)=n and B_[k+1](j) = B_[k](j), if j <= k; B_[k+1](j) = B_[k](j) + k, if j < k and (j mod 2k) >= k; B_[k+1](j) = B_[k](j) - k, if j < k and (j mod 2k) < k. Set a(n)=0 if b tends to infinity.at n=29A065194
- Record entries in A065194.at n=6A065195
- Numbers n such that phi(phi(n)) = phi(sigma(n)) where phi is Euler's totient and sigma is the multiplicative sum-of-divisors function.at n=41A065555