8998
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 34
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14760
- Proper Divisor Sum (Aliquot Sum)
- 5762
- 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
- 4080
- Möbius Function
- -1
- Radical
- 8998
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- 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 94.at n=13A031592
- Base 10 palindromes that start with 8.at n=21A043043
- Palindromes with exactly 3 distinct prime factors.at n=37A046393
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=34A048130
- Palindromic untouchable numbers.at n=20A048187
- Even numbers seen in decimal expansion of Pi (disregarding the decimal period) contiguous, smallest and distinct.at n=28A050818
- Expansion of (2-4*x+x^3)/((1-x)*(1-2*x-x^2+x^3)).at n=12A052949
- Smallest palindrome with digit sum = n.at n=34A062388
- Numbers k that, when expressed in base 6 and then interpreted in base 9, give a multiple of k.at n=14A062939
- n sets a new record for the number of integers k such that n = k + reverse(k).at n=29A067035
- Concatenation of n-th prime and its reverse.at n=23A067087
- Palindromes of length greater than 1 in decimal expansion of Pi (not showing leading 0's).at n=14A068046
- Smallest even number with digit sum n.at n=33A069532
- Palindromic even numbers with an odd number of distinct prime factors.at n=20A075809
- Palindromic even numbers with exactly 3 prime factors (counted with multiplicity).at n=23A075816
- Palindromic even numbers with an odd number of prime factors (counted with multiplicity).at n=46A075817
- Palindromes k such that k + 11 is also a palindrome.at n=23A082275
- Smallest palindromic multiple of 11, sum of whose digits at some stage is equal to n.at n=33A083516
- Numbers n such that every digit of both n and n^2 contains a loop (only digits 0,4,6,8,9 in n and n^2).at n=15A107626
- Numbers n such that p(7n) is prime, where p(n) is the number of partitions of n.at n=21A114167