8883
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
- 16
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 6477
- 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
- 4968
- Möbius Function
- 0
- Radical
- 987
- 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
- 184
- Smith Number
- yes
- 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
- Fibonacci sequence beginning 0, 9.at n=16A022092
- Numbers having three 8's in base 10.at n=27A043523
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=28A046347
- McKay-Thompson series of class 30E for Monster.at n=32A058616
- Partial sums of A001158: Sum_{j=1..n} sigma_3(j).at n=12A064603
- The (6^n)-th composite number.at n=5A065525
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=34A072016
- Schroeder pseudoprimes: Composites k that divide the k-th Schroeder number A001003(k-1).at n=18A075764
- In binary representation: numbers not occurring in their factorial.at n=38A093685
- Sum of ordered factorizations over hook-type prime signatures. (Row sums of A098348).at n=5A098349
- Numbers k such that k and k+5 are 5-almost primes.at n=32A124942
- Numbers k such that A128162(k) is prime.at n=21A128163
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 0), (0, 1, 1), (1, 0, 0)}.at n=7A151042
- a(n) = 4*n^2 + 73*n + 333.at n=37A157431
- a(n) = (8*10^n - 53)/9 for n > 0.at n=3A173811
- Number of nondecreasing arrangements of n+2 numbers in 0..3 with each number being the sum mod 4 of two others.at n=33A183906
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x+y*z>=n^2.at n=17A212132
- For k in {2,3,...,9} define a sequence as follows: a(0)=0; for n>=0, a(n+1)=a(n)+1, unless a(n) ends in k, in which case a(n+1) is obtained by replacing the last digit of a(n) with the digit(s) of k^2. This is k(9).at n=30A237346
- Numbers with digits 3 and 8 only.at n=28A284963
- Numbers in which 8 outnumbers all other digits together.at n=55A292738