5088
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13608
- Proper Divisor Sum (Aliquot Sum)
- 8520
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1664
- Möbius Function
- 0
- Radical
- 318
- Omega Function (Ω)
- 7
- 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
- 59
- Smith Number
- yes
- 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
- Number of n-node rooted trees of height 3.at n=15A000235
- a(n) = ceiling(1000*log_2(n)).at n=33A004267
- Coordination sequence T4 for Zeolite Code DOH.at n=44A008081
- 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 35.at n=20A031533
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5).at n=49A035575
- McKay-Thompson series of class 24B for Monster.at n=23A058572
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=16A060674
- a(n) = Chowla's function of n * sigma(n).at n=41A062785
- a(1) = 1, a(n+1) is the sum of a(n) and ceiling( arithmetic mean of a(1) ... a(n) ).at n=29A065095
- Triangle of T(n,k) where T(n,k)/(n-1)! is probability of player k out of n players winning a game of "Elimination": rules are that player 1 chooses one of the others at random to be eliminated, then player 2 (or 3 if player 2 has been eliminated) chooses somebody else at random from the survivors to be eliminated next, then the next surviving player chooses and so on round the circle until all but one have been eliminated.at n=36A071818
- Aliquot sequence starting at 1521.at n=6A074906
- Binomial transform of A081250.at n=6A084213
- The values within a cycle of length 53 of the map x->A098189(x), sorted.at n=35A098191
- Defining sequence for an inverse Fredholm-Rueppel triangle.at n=22A104977
- Numbers k that divide the sum of the digits of 2^k * k!.at n=21A108861
- Triangle, read by rows, equal to the matrix cube of triangle P = A135880.at n=41A135888
- Number of 4-way intersections in the interior of a regular 6n-gon.at n=15A137938
- Number of binary strings of length n with equal numbers of 00010 and 01011 substrings.at n=13A164217
- Products of the 5th power of a prime and 2 distinct primes (p^5*q*r).at n=28A179667
- Numbers of the form 9*m^2 + 4*m, m an integer.at n=47A185039