8338
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 5342
- 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
- 3780
- Möbius Function
- -1
- Radical
- 8338
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 158
- 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
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=22A015992
- Number of paths in the plane x >= 0 and y >= -2, from (0,0) to (n,0), and consisting of steps U = (1,1), D = (1,-1) and H = (1,0).at n=10A026325
- a(n) is the sum of squares of numbers in row n of array T given by A026323.at n=5A027314
- Expansion of 1/((1-4x)(1-5x)(1-9x)(1-11x)).at n=3A028125
- Numbers k such that k*(k+4) is a palindrome.at n=15A028555
- None of the digits in k is present in k^2 or k^3.at n=20A029790
- 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 90.at n=16A031588
- Palindromic Fibonacci-lucky numbers.at n=40A039674
- Base 10 palindromes that start with 8.at n=15A043043
- Numbers having four 2's in base 8.at n=2A043432
- Palindromic even lucky numbers.at n=23A045960
- Palindromes with exactly 3 distinct prime factors.at n=35A046393
- Palindromes expressible as sum of 2 consecutive palindromes.at n=54A046497
- Essentially series series-parallel networks with n labeled edges, multiple edges not allowed.at n=7A058380
- Concatenation of n-th prime and its reverse.at n=22A067087
- Partition the nonnegative integers into minimal groups whose sums are palindromes; this sequence gives the sums.at n=36A072482
- Smallest x such that prime(x) mod c(x) = n, where prime(j) is the j-th prime, c(j) is the j-th composite number.at n=13A073324
- Palindromic even numbers with an odd number of distinct prime factors.at n=17A075809
- Palindromic even numbers with exactly 3 prime factors (counted with multiplicity).at n=21A075816
- Palindromic even numbers with an odd number of prime factors (counted with multiplicity).at n=42A075817