4891
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5032
- Proper Divisor Sum (Aliquot Sum)
- 141
- 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
- 4752
- Möbius Function
- 1
- Radical
- 4891
- 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
- 178
- 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
- Number of achiral rooted trees.at n=21A003241
- Numbers that are the sum of 5 positive 6th powers.at n=27A003361
- Numbers that are the sum of 11 positive 7th powers.at n=27A003378
- Base-5 Armstrong or narcissistic numbers (written in base 10).at n=12A010346
- Expansion of 1/((1-4*x)*(1-9*x)*(1-10*x)).at n=3A019682
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=26A027865
- Numbers k such that k^2 is palindromic in base 8.at n=33A029805
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=11A031781
- n-th 4k+1 prime times (n+1)st 4k+3 prime.at n=8A048628
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A048149.at n=20A049712
- Let Do(n) = A006566(n) = n-th dodecahedral number. Consider all integer triples (i,j,k), j >= k>0, with Do(i) = Do(j) + Do(k), ordered by increasing i; sequence gives i values.at n=3A053017
- Numbers k such that k + sum_of_digits(k) is a cube.at n=13A084661
- a(n) = (6*n+1)*(6*n+7).at n=11A085026
- Sum of the orders of the elements in the group GL(2,Z_n).at n=4A086147
- a(n) = prime(n)*prime(n+2).at n=18A090076
- a(n) = Floor[(2*Pi/E)*n^2].at n=45A090398
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 7.at n=21A091778
- Positive integers not appearing in sequence A098572, which calculates the values of floor(sum(m^(1/m),n=1..m)).at n=36A098573
- A bisection of A000960.at n=39A099061
- Sum of the left diagonal in ordered 3 X 3 prime squares.at n=28A105090