5917
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6076
- Proper Divisor Sum (Aliquot Sum)
- 159
- 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
- 5760
- Möbius Function
- 1
- Radical
- 5917
- 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
- 98
- 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
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=36A001994
- Sum of Gaussian binomial coefficients [ n,k ] for q=8.at n=4A006122
- Pseudoprimes to base 62.at n=40A020190
- Pseudoprimes to base 75.at n=32A020203
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=35A024846
- a(n) = A027082(n, 2n-3).at n=8A027090
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=46A027426
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5) < cn(3,5).at n=72A036874
- Denominators of continued fraction convergents to sqrt(643).at n=8A042235
- Number of primes below n^3 does not exceed n times the number of primes below n^2.at n=47A060304
- Concatenation of n-th prime and n in decimal notation.at n=16A075110
- Octo numbers (a polygonal sequence): a(n) = 5*n^2 - 6*n + 2 = (n-1)^2 + (2*n-1)^2.at n=34A079273
- Cardinality of set of sets of parts of all partitions of n.at n=39A088314
- a(n) = a(n-1) + a(n-2) + 5 where a(0) = a(1) = 1.at n=15A111721
- Products of two primes that are not Chen primes.at n=11A115719
- Number of distinct angles in all integer-sided triangles with all sides <= n.at n=32A123325
- a(n) = Sum_{i=0..n} (-2)^i*binomial(n,i)*B(i) where B(n) = Bell numbers A000110(n).at n=6A124311
- The first three terms are 1. After that, a(n)=(a(n-1))^2-a(n-2)-a(n-3).at n=9A132294
- Expansion of (3-2*x-3*x^2)/(1-x-x^2-x^3).at n=15A141523
- Least positive multiple of 2n-1 which is palindromic in base 2.at n=48A141708