8352
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 24570
- Proper Divisor Sum (Aliquot Sum)
- 16218
- 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
- 2688
- Möbius Function
- 0
- Radical
- 174
- Omega Function (Ω)
- 8
- 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
- 34
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T10 atom.at n=12A019169
- a(n) is the least k > 0 such that k and 3k are anagrams in base n (written in base 10).at n=13A023095
- 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 45.at n=25A031543
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=5A045060
- Numbers k such that 5*2^k - 3 is prime.at n=42A058588
- McKay-Thompson series of class 27b for the Monster group.at n=28A058601
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=21A060665
- Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares.at n=39A064715
- Lesser of three consecutive nonsquare integers each of which is the sum of two squares.at n=38A073412
- Omega(n) = Omega(n-1)^3, where Omega(m) (A001222) denotes the number of prime factors of m, counting multiplicity.at n=34A076155
- Perrin sequence of order 5.at n=58A087935
- For each pair of twin primes (p,p+2) take the absolute value of the difference between p and p with digits reversed.at n=37A088489
- a(n) is the absolute value of p minus A004086(p), where (p-2,p) is the n-th pair of twin primes.at n=49A088490
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=29A090782
- Triangular array read by rows: a(n, k) = sum of number of ordered factorizations of all prime signatures with n total prime factors and k distinct prime factors.at n=23A095705
- Triangle T(n, k) = binomial(n, k) * A000085(n-k), 0 <= k <= n.at n=47A111062
- Sequence determining the parity of A025748.at n=38A127988
- n! times partial sum of the sequence (1,Bernoulli numbers).at n=7A129716
- Number of 2-colorings of a 3 X n rectangle for which no subsquare has monochromatic corners.at n=5A133357
- Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - T_n(x)^2, where T_n(x) is the n-th Hermite polynomial of the Hochstadt kind (A137286) as related to the generalized Chebyshev in a Shabat way (A123583): p(x,n)=x*p(x,n-1)-p(x,n-2); q(x,n)=1-p(x,n)^2.at n=38A136667