9828
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 31360
- Proper Divisor Sum (Aliquot Sum)
- 21532
- 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
- 2592
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 135
- 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
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=50A000123
- Coefficient of x^5 in expansion of (1 + x + x^2)^n.at n=12A000574
- Orders of noncyclic simple groups (without repetition).at n=15A001034
- Even heptagonal numbers (A000566).at n=31A014640
- a(n) = n*(27*n - 1)/2.at n=27A022284
- Theta series of A*_8 lattice.at n=34A023920
- a(n) = T(3n,n), where T is the array in A026323.at n=5A026333
- a(n) = n*(n+1)*(n+2)/2.at n=26A027480
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=19A031174
- Every run of digits of n in base 6 has length 2.at n=40A033004
- a(n) = (2*n + 1)*(5*n + 1).at n=31A033571
- a(n) = lcm(n,n+1,n+2).at n=25A033931
- Number of partitions in parts not of the form 25k, 25k+1 or 25k-1. Also number of partitions with no part of size 1 and differences between parts at distance 11 are greater than 1.at n=42A036000
- a(n) = (n-3)*A006918(n-2)/2 for n >= 2, with a(0) = a(1) = 0.at n=27A038376
- Theta series of E_8 lattice with respect to midpoint of edge.at n=8A045819
- Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=30A054061
- T(2n+3,n), array T as in A055794.at n=12A055796
- Freestyle perfect numbers n = Product_{i=1,..,k} f_i^e_i where 1 < f_1 < ... < f_k, e_i > 0, such that 2n = Product_{i=1,..,k} (f_i^(e_i+1)-1)/(f_i-1).at n=38A058007
- Orders of finite perfect groups (groups such that G = G' where G' is the commutator subgroup of G).at n=41A060793
- Numbers k such that sigma(k) = 2*usigma(k).at n=28A063880