9305
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11172
- Proper Divisor Sum (Aliquot Sum)
- 1867
- 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
- 7440
- Möbius Function
- 1
- Radical
- 9305
- 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
- 91
- 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
- Expansion of e.g.f. cos(sin(x)*exp(x)).at n=8A009048
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=31A031419
- Denominators of continued fraction convergents to sqrt(149).at n=8A041273
- Denominators of continued fraction convergents to sqrt(596).at n=10A042143
- Number of primitive (aperiodic) word structures of length n which contain exactly three different symbols.at n=9A056279
- Number of primitive (aperiodic) palindromic structures using exactly three different symbols.at n=19A056482
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=40A061191
- Integer part of log(n^n)^(1 + log(1 + log(1 + n))).at n=17A062451
- Nearest integer to log(n^n)^(1 + log(1 + log(1 + n))).at n=17A062452
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=38A086769
- Expansion of (1-6x)/(1-6x-5x^2).at n=6A091927
- Let p(n) be the n-th prime congruent to 1 mod 4. Then a(n) = the least k for which m^2+1=p(n)*k^2 has a solution.at n=15A094049
- Smallest integer y satisfying the Pell equation x^2 - n*y^2 = -1 for the values of n given in A031396.at n=30A130227
- Row sums of triangle A131336.at n=15A131337
- Triangle read by rows: T(n,k) is the number of primitive (aperiodic) word structures of length n using exactly k different symbols.at n=47A137651
- a(n) = p^2 - sum of digits of p^p, where p = prime(n).at n=25A140499
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11.at n=35A146335
- Number of terms with n digits in A154780.at n=19A154779
- Beach-Williams Pell numbers of type pq (p,q primes).at n=5A212078
- Number of 3 X 3 X 3 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value.at n=23A214907