17341
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17342
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17340
- Möbius Function
- -1
- Radical
- 17341
- 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
- 66
- 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
- 1994
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=38A023274
- Primes that remain prime through 4 iterations of function f(x) = 2x + 5.at n=15A023304
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12.at n=12A031600
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=37A033316
- Number of conjugacy classes of elements of order n in E_8(C).at n=29A045514
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=40A050267
- Numbers p from A001125 such that 2*p-3 is prime.at n=23A063939
- a(n) = floor(t^n), where t=3450844193^(1/9) (approximately 11.4754).at n=3A076255
- Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse.at n=20A088544
- Smallest prime of the form concatenation n, 2n, 3n,...kn and 1.at n=16A090921
- Sum[k=1..n, T(k,n-k+1)], where T is array A094718.at n=18A094719
- Primes of the form 47*n^2 - 1701*n + 10181.at n=19A128878
- Mother primes of order 8.at n=31A136067
- Prime numbers p such that p +- ((p-1)/5) are primes.at n=14A137714
- Primes congruent to 10 mod 53.at n=35A142540
- Primes congruent to 54 mod 59.at n=35A142781
- Primes congruent to 17 mod 61.at n=31A142815
- Primes p of the form 4*k+1 for which s=26 is the least positive integer such that s*p-(floor(sqrt(s*p)))^2 is a square.at n=18A145050
- a(n) = 60*n^2 + 1.at n=17A158673
- Lexicographically earliest permutation of the primes such that successive absolute differences yield a permutation of all nonprime numbers.at n=26A203985