9547
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9548
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9546
- Möbius Function
- -1
- Radical
- 9547
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 104
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1182
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=27A020417
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=33A023299
- 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 97.at n=15A031595
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=42A038637
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=26A046010
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=11A052351
- a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.at n=34A053521
- Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed).at n=47A054217
- Primes p such that x^37 = 2 has no solution mod p.at n=33A059223
- Primes p such that x^43 = 2 has no solution mod p.at n=27A059243
- a(1)=a(2)=1, a(n)=a(n-1)+a(n-2) if n is not congruent to 3, a(n)=a(n-1)+a(n/3) if n is congruent to 3.at n=24A078913
- Prime numbers which when written in base 7 have a composite digit-sum.at n=1A096790
- Prime numbers q such that q^2 = 2*prime(n) + n for some n.at n=44A104852
- a(n+1) = prime(1+a(n)), starting with a(0) = 0.at n=7A119533
- Prime numbers that are the sum of consecutive prime numbers with the final digit 7 (primes in A030432).at n=6A129079
- Numbers that are both lucky and emirp.at n=42A129864
- Primes of the form 40x^2+40xy+43y^2.at n=39A140012
- Primes of the form 7x^2+195y^2.at n=35A140018
- Primes of the form 2*3*5*7*k + 97.at n=24A141899
- Primes congruent to 6 mod 29.at n=39A141982