5188
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9086
- Proper Divisor Sum (Aliquot Sum)
- 3898
- 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
- 2592
- Möbius Function
- 0
- Radical
- 2594
- 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
- 103
- 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 T1 for Zeolite Code ATV.at n=46A008043
- Coordination sequence T5 for Zeolite Code DDR.at n=45A008075
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=48A011902
- a(n) = Sum_{k=0..n} T(n,k) * T(n,2n-k), with T given by A027082.at n=7A027104
- 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 36.at n=29A031534
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 36.at n=3A031714
- Numbers whose set of base-16 digits is {1,4}.at n=21A032828
- Sums of 4 distinct powers of 4.at n=29A038472
- Base-6 palindromes that start with 4.at n=14A043013
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=14A045032
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=38A058082
- Growth series for Heisenberg group.at n=15A063810
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=8A064687
- Centered heptagonal numbers.at n=38A069099
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an obtuse isosceles integer triangle with prime side lengths.at n=15A070135
- Sum of terms in n-th rows of triangle in A077159.at n=22A077162
- Row sums of A081964.at n=22A081966
- Main diagonal of A082228.at n=36A082231
- Numbers k such that k*primorial(2473)-1 is prime.at n=37A087832
- Positive integers n such that n^11 + 1 is semiprime.at n=27A105122