9347
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 733
- 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
- 8616
- Möbius Function
- 1
- Radical
- 9347
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- From Apery continued fraction for zeta(3): zeta(3)=6/(5-1^6/(117-2^6/(535-3^6/(1463...)))).at n=6A006221
- Expansion of (1+x^2)/(1-2*x+x^3).at n=17A014739
- Numbers k such that k and k+1 have the same sum of squarefree divisors, or sqf(k) = sqf(k+1), where sqf(k) = A048250(k).at n=7A063964
- Number of 2 X 2 regular integer matrices with elements from {0,...,n} up to row and column permutation.at n=13A064363
- Numbers n such that googol - n is prime.at n=32A108251
- The number of primes between n and n^3 (with n and n^3 excluded).at n=45A117491
- Number of base 23 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125360
- Odd positive integers a(n) such that for every odd integer m>=7 there exists a unique representation of the form m=a(p)+2a(q)+4a(r).at n=29A147845
- a(n) = largest number k such that k and k * n taken together have distinct digits, or 0 if no such k exists.at n=5A173780
- Numbers that have 9 terms in their Zeckendorf representation.at n=17A179249
- Positions of zeros in A214979.at n=48A214980
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=1A216142
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=7A216142
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=25A216142
- Numbers k such that sigma(triangular(k)) = sigma(k)^2.at n=6A232355
- a(n) = L(2*n+1) - 2, where L is A000032.at n=9A256233
- Numbers k with the property that it is possible to write the base 2 expansion of k as concat(a_2,b_2), with a_2>0 and b_2>0 such that, converting a_2 and b_2 to base 10 as a and b, we have sigma(a + b) = sigma(k).at n=11A258843
- Least number x such that x^n has n digits equal to k. Case k = 3.at n=14A285450
- Numbers n such that (6k-1) for k=n, n+1, n+2, n+3 are all primes with no primes of the form (6k+1) in between.at n=10A296011
- Number of parts in all partitions of n in which no part occurs more than five times.at n=24A320608