5828
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 4924
- 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
- 2760
- Möbius Function
- 0
- Radical
- 2914
- Omega Function (Ω)
- 4
- 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
- 36
- 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
- Sets with a congruence property.at n=4A002705
- Coordination sequence T2 for Zeolite Code DOH.at n=47A008079
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 2, -1, 1, 2.at n=13A025259
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=16A030653
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=31A033580
- Trajectory of 1 under map n->45n+1 if n odd, n->n/2 if n even.at n=7A033978
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=44A036808
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=35A047866
- Triangle T(n,k) read by rows of partially ordered sets ("posets") with n unlabeled nodes and k maximal elements (0 <= k <= n).at n=39A065066
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=29A067805
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=35A072555
- Square of infinite lower triangular matrix A078122.at n=15A078123
- Number of partitions of 3^n into powers of 3.at n=5A078125
- a(n) = sum of lengths of strings that can be generated by any starting string of n 2's and 3's, using the rule described in the Comments lines.at n=8A094005
- Triangle, read by rows, where each column equals the convolution of A032349 with the prior column, starting with column 0 equal to A032349 shift right.at n=23A102230
- Expansion of (1 -2*x +4*x^2 -22*x^3 +6*x^4 +268*x^5 -854*x^6 +3596*x^7 -3100*x^8)/((1 -2*x)/(1 -2*x -4*x^2)).at n=7A115109
- Rectangular table where column k equals row sums of matrix power A078122^k, read by antidiagonals.at n=22A125800
- Number of L-shaped tiles in all tilings of a 2 X n board with 1 X 1 and L-shaped tiles (where the L-shaped tiles cover 3 squares).at n=6A127866
- Number of partitions of n such that the largest part is coprime to every other part.at n=36A130690
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k UUDU's starting at level 0.at n=23A135330