5823
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8424
- Proper Divisor Sum (Aliquot Sum)
- 2601
- 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
- 3876
- Möbius Function
- 0
- Radical
- 1941
- 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
- 142
- 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
- no
- Odd
- yes
Appears in sequences
- Number of discordant permutations.at n=2A000565
- Harmonic Molien series for Conway group Con.0.at n=39A008924
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=39A031504
- Numbers whose set of base-11 digits is {1,4}.at n=27A032823
- Number of partitions of n into parts not of the form 13k, 13k+2 or 13k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 5 are greater than 1.at n=37A035950
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=39A035979
- Sum of first n primes of form 4k-1.at n=36A038347
- a(n) = floor(n^log(n)).at n=18A061567
- Triangle T(n,k) defined by Sum_{n >= 0,m >= 0} T(n,m)*x^m*y^n = 1 + y*(1 + 3*x - 4*x^2*y - 3*x^2*y^2 - 3*x^3*y^2 + 4*x^4*y^3)/((1 - y - 2*x*y - x*y^2 + x^3*y^3)*(1 - x*y)).at n=52A061702
- Rounded total surface area of a regular octahedron with edge length n.at n=41A071396
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=22A074173
- Number of partitions of the n-th decimal palindrome into distinct decimal palindromes.at n=35A091585
- Unicode codes for the lunation runes, used in certain medieval Scandinavian perpetual calendar staves as golden numbers 1-19.at n=7A098476
- Triangle read by rows: T(n,k) is the number of k-matchings in the C_n X P_2 graph (C_n is the cycle graph on n vertices and P_2 is the path graph on 2 vertices).at n=49A102079
- Triangle read by rows: T(n,k) is number of Dyck paths of semilength n having k ascents of length 1 that start at an odd level.at n=39A102405
- Numbers k such that k divides the sum of the digits of k^(2k).at n=19A108859
- Total sum of parts of multiplicity 2 in all partitions of n.at n=26A117525
- Numbers k such that if you subtract k-reversed from k you get a natural number with the same digits as k.at n=4A121969
- a(n) = (7*n^2 - 17*n + 12)/2.at n=41A140065
- Triangle read by rows: coefficients of chromatic polynomials for the poset of Dyck paths ordered by inclusion.at n=13A141622