8228
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 16758
- Proper Divisor Sum (Aliquot Sum)
- 8530
- 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
- 3520
- Möbius Function
- 0
- Radical
- 374
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 114
- 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
- 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=27A007441
- dot product (n,n-1,...2,1).(3,4,...,n,1,2).at n=31A026054
- Base 10 palindromes that start with 8.at n=14A043043
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=28A045059
- Palindromic and divisible by 4.at n=41A045639
- Smallest integer k such that 2^n is the largest power of two that is contained in 2^k as a proper substring.at n=20A046300
- Palindromes with exactly 5 prime factors (counted with multiplicity).at n=19A046331
- Composite palindromes whose sum of prime factors is prime (counted with multiplicity).at n=31A046365
- Distinct even numbers in the numerators of the 1/3-Pascal triangle (by row).at n=40A046559
- Distinct even numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/3-Pascal triangle (by row).at n=36A046562
- Palindromic untouchable numbers.at n=17A048187
- a(n) is the smallest palindrome > a(n-1) such that a(1)+a(2)+...+a(n) is a prime.at n=23A051934
- Number of 4-block ordered tricoverings of an unlabeled n-set.at n=32A060488
- a(n) = n^2 + (n^2 with digits reversed).at n=46A061226
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=35A061428
- Palindromic numbers with even digits.at n=45A062287
- Numbers k such that k and its reversal are both multiples of 17.at n=30A062906
- Numbers, not composed of the same digits, such that the geometric and arithmetic means of their decimal digits are integers.at n=34A067452
- Numbers k such that sigma(core(k)) = tau(k) where core(k) is the squarefree part of k, tau(k) is the number of divisors of k, and sigma(k) is their sum.at n=44A069827
- Concatenation of R(n) (A004086) and n, omitting leading 0's.at n=27A071273