5238
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
- 16
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 6522
- 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
- 1728
- Möbius Function
- 0
- Radical
- 582
- Omega Function (Ω)
- 5
- 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
- yes
- 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 T2 for Zeolite Code EPI.at n=46A008091
- Number of nonzero palindromes < 10^n and containing at least one digit '0'.at n=7A050685
- Coordination sequence T3 for Zeolite Code MTF.at n=43A057306
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=22A063366
- a(n) = Sum_{k=1..n} Sum_{d=1..k} (k mod d).at n=45A072481
- Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal.at n=0A093182
- Numbers that have exactly five prime factors counted with multiplicity (A014614) whose digit reversal is different and also has 5 prime factors (with multiplicity).at n=40A109025
- Start with 1 and repeatedly reverse the digits and add 37 to get the next term.at n=8A118633
- a(n) = 3 + floor((2 + Sum_{j=1..n-1} a(j))/5).at n=41A120172
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=5.at n=42A135190
- Triangle read by rows: A(n,k)=A(n - 1, k - 1) + A(n - 1, k) + (n + 1)*(n + 2)*A(n - 2, k - 1).at n=16A153658
- Triangle read by rows: A(n,k)=A(n - 1, k - 1) + A(n - 1, k) + (n + 1)*(n + 2)*A(n - 2, k - 1).at n=19A153658
- Nonprimes formed by concatenation of the decimal digits of a nonprime and its index.at n=32A154507
- a(n) = 169*n - 1.at n=30A158219
- Numbers which are a difference of two of their own anagrams.at n=36A160851
- Numbers k such that k and k + 2 are both divisible by exactly five primes (counted with multiplicity).at n=39A180151
- The number of disconnected k-regular simple graphs on 2k+4 vertices.at n=44A184324
- Number of nX5 binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.at n=2A189613
- T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.at n=23A189617
- Number of 3Xn binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.at n=4A189618