9545
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 2551
- 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
- 7216
- Möbius Function
- -1
- Radical
- 9545
- 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
- 78
- 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
- no
- Odd
- yes
Appears in sequences
- Denominators of approximations to e.at n=29A006259
- Denominators of convergents to e.at n=12A007677
- Values of k for which there are no empty intervals when fractional_part(m*e) for m = 1, ..., k is plotted along [ 0, 1 ] subdivided into k equal regions.at n=14A036413
- The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to e = exp(1).at n=47A065370
- Table T(n,k) giving number of ways of obtaining exactly one correct answer on an (n,k)-matching problem (1 <= k <= n).at n=49A076732
- Greedy frac multiples of e: a(1)=1, Sum_{n>0} frac(a(n)*e)=1.at n=10A079939
- Permanent of (0,1)-matrix of size n X (n+d) with d=4 and n-1 zeros not on a line.at n=4A090014
- Number of A095320-primes in range ]2^n,2^(n+1)].at n=16A095330
- Indices n of primes p(n), p(n+4) such that p(n)+1 and p(n+4)+1 have the same largest prime factor.at n=11A105408
- a(3n) = a(3n-1) + a(3n-2), a(3n+1) = 2n*a(3n) + a(3n-1), a(3n+2) = a(3n+1) + a(3n).at n=14A113874
- Denominators of "Farey fraction" approximations to e.at n=31A119015
- RMS numbers: numbers n such that root mean square of divisors of n is an integer.at n=8A140480
- Primitive RMS numbers: RMS numbers which are not the product of two smaller RMS numbers.at n=6A141813
- Products of 3 distinct safe primes.at n=25A157354
- Composite RMS numbers: composite numbers c such that root mean square of divisors of c is an integer.at n=4A158287
- Number triangle with row sums given by quadruple factorial numbers A001813.at n=16A168422
- Where A024573 becomes a record.at n=12A182219
- Constant term of the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=16A192958
- Numbers n such that 4n+3 is a palindromic prime.at n=34A193419
- Number of cusps in a class of degree-3n complex algebraic surfaces.at n=11A225018