5804
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10164
- Proper Divisor Sum (Aliquot Sum)
- 4360
- 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
- 2900
- Möbius Function
- 0
- Radical
- 2902
- Omega Function (Ω)
- 3
- 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
- 142
- 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
- Coordination sequence T3 for Zeolite Code EUO.at n=47A008098
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=27A020403
- 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 38.at n=33A031536
- Expansion of (1-x)/(1 - 2*x - x^4 + x^5).at n=13A052932
- Triangle T(n,k) of the number of digraphs with a source on n labeled nodes with k arcs, k=0..n*(n-1).at n=29A057274
- Number of stacks of n pancakes requiring a maximum number of flips to order.at n=8A067607
- Interprimes which are of the form s*prime, s=4.at n=25A075279
- Integer averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=19A075454
- Distinct-digit averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=13A075456
- Expansion of g.f.: (1+2*x^3+2*x^6)/((1-x)*(1-x-x^2+x^3-x^4-x^5+x^6)).at n=17A084683
- a(n) = n!*n^n - ((n^(n+1)-1)/(n-1) - 1) for n>1 with a(1)=0.at n=3A088055
- Triangle read by rows: T(n,k) is the number of stacks of n pancakes requiring k = 0, ..., A058986(n) flips to sort.at n=55A092113
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=21A099631
- Number of partitions of (n,n) into pairs (i,j) with i>0, j>=0.at n=10A108457
- a(n) = A051707(A025487).at n=39A108460
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and having sum of the heights of its pyramids equal to k (a pyramid is a sequence u^pd^p or U^pd^(2p) for some positive integer p, starting at the x-axis; p is the height of the pyramid).at n=38A109157
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 1.at n=13A112546
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 2.at n=13A112547
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 3.at n=13A112549
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 4.at n=13A112583