5959
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6120
- Proper Divisor Sum (Aliquot Sum)
- 161
- 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
- 5800
- Möbius Function
- 1
- Radical
- 5959
- 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
- 124
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that sigma(k) = sigma(k+4).at n=12A015863
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=47A026062
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones.at n=2A031787
- Lucky numbers that are concatenations of a number k with itself.at n=5A032650
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=16A039752
- Numerators of continued fraction convergents to sqrt(643).at n=5A042234
- Numbers whose consecutive digits differ by 4.at n=46A048406
- a(n) = |{m : multiplicative order of 5 mod m=n}|.at n=29A059887
- Numbers k such that sopf(k) = sopfr(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=15A064678
- Records for the number of integers k such that k is not of the form m + reverse(m) for any m and for some n A067030(n) occurs in the 'Reverse and Add' trajectory of k (cf. A067284).at n=48A067288
- Smallest argument m such that commutator[phi(m), gpf(m)] = 2n-1, where phi(m) = A000010(m) and gpf(m) = A006530(m), the largest prime factor of m.at n=35A070818
- Diagonal of triangular spiral in A051682.at n=36A081267
- Difference between counts of odd composites in A093151 and A093152 [Count (1 mod 4) - count (3 mod 4)].at n=9A093153
- Values of x in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z.at n=18A138667
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 9 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=17A166059
- Row sums of triangle A178568.at n=19A169826
- Double primes: concatenation of the n-th prime with itself.at n=16A176597
- Number of n-step one-sided prudent walks, avoiding exactly three consecutive west steps and three consecutive east steps.at n=10A190571
- G.f. A(x) satisfies A(x) = 1 + Sum_{n>=1} A(x)^n * x^n/(1 - x^(2*n)).at n=9A192401
- Number of n X 1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than itself.at n=11A196423