5138
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8832
- Proper Divisor Sum (Aliquot Sum)
- 3694
- 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
- 2196
- Möbius Function
- -1
- Radical
- 5138
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code BRE.at n=47A008058
- Coordination sequence T5 for Zeolite Code MTT.at n=44A008193
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAU = Paulingite (K2,Ca,Na2)76[Al152Si520O1344] starting with a T7 atom.at n=5A019055
- T(2n-1,n-2), T given by A026703.at n=5A026708
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=28A035136
- Numbers having three 2's in base 8.at n=30A043431
- Integer part of log(n)^sqrt(n).at n=41A062463
- a(n) = Sum_{i=1..n} Ulam(i), where Ulam(i) denotes the i-th Ulam number.at n=48A078663
- a(n) = 6n + A054904(n).at n=36A084292
- Index of first occurrence of n in A090290, or 0 if n does not occur in A090290.at n=47A090291
- a(n) = (1/24) * (A018188(n)-11).at n=34A092153
- Consider the succession of single digits of A008585 (multiples of 3): 3 6 9 1 2 1 5 1 8 2 1 2 4 2 7 3 0 .... This sequence gives the lexicographically earliest derangement of A001651 (non-multiples of 3) that produces the same succession of digits.at n=30A097500
- Numbers k such that (31*10^k - 121) / 9 is prime.at n=23A111247
- a(n)=ceiling( sum_{i=1..n-1} a(i)/6), a(1)=1.at n=59A120178
- Indices of 4th powers (of primes) in the 4-almost primes.at n=5A128304
- Largest number not the sum of n distinct nonzero squares.at n=18A129210
- Coefficients of the v=2 member of a family of certain orthogonal polynomials.at n=33A129462
- Numbers k such that binomial(3k,k) is odd and not divisible by 5.at n=49A154119
- Coefficients in the expansion of C^3/B^4, in Watson's notation of page 118.at n=9A160527
- Numbers k>1 such that phi(phi(k)) = sigma(sopf(k)).at n=30A173337