5026
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 3614
- 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
- 2148
- Möbius Function
- -1
- Radical
- 5026
- 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
- 134
- 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
- Number of n-node connected unicyclic graphs.at n=9A001429
- Coordination sequence T2 for Zeolite Code JBW.at n=47A008122
- a(n) = T(2*n,n), T given by A026736.at n=7A026737
- a(n) = T(n, floor(n/2)), T given by A026736.at n=14A026742
- 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 70.at n=9A031568
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=51A035937
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=33A039868
- Triangle of number of connected graphs with k >= 1 edges and n nodes (2 <= n <= k+1).at n=76A046742
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=13A049932
- Triangle read by rows: number of connected graphs with k >= 0 edges and n nodes (1<=n<=k+1).at n=89A054923
- Coefficients of replicable function number 49a.at n=52A058700
- a(n) = (2*n-1)*(13*n^2-13*n+6)/6.at n=10A063493
- a(n) = floor(Pi*n^2).at n=40A066643
- a(n) = floor(surface area of a sphere with radius n).at n=19A066644
- Number of ways to tile a 5 X 2n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=30A068924
- Number of partitions of the n-th decimal palindrome into distinct decimal palindromes.at n=34A091585
- Number of distinct products i*j*k for 1 <= i <= j < k <= n.at n=43A100435
- Number of permutations avoiding the patterns {3241,3421,4321}; number of weak sorting class based on 3241.at n=8A111279
- a(n) = 17 + floor( (1 + Sum_{j=0..n-1} a(j))/2 ).at n=14A120143
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + k^13 + k^15 + k^17 + k^19 + k^21 + k^23 + k^25 + k^27 + k^29 + k^31 + k^33 + k^35 + k^37 + k^39 + k^41 + k^43 is prime.at n=43A124200