17047
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17048
- 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
- 17046
- Möbius Function
- -1
- Radical
- 17047
- 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
- 128
- 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
- 1967
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers).at n=14A024469
- a(n) = Sum_{k=0..n-1} T(n,k)*T(n,2n-k), T given by A027960.at n=7A027980
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones.at n=13A031854
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=20A052234
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=24A057698
- Integers n > 10553 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10553.at n=11A063061
- Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+8), n>=0.at n=7A067986
- a(n) = the smallest prime divisor of A173426(n) = concatenation of (1, 2, 3,..., n, n-1, ..., 1) for n > 1; a(1) = 1.at n=39A075023
- Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=28A104047
- Beginning with 3, least member of A007500 such that concatenation of first n terms and its digit reversal both are primes.at n=12A111383
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=28A117458
- Primes of the form 88x^2+32xy+127y^2.at n=29A140630
- Primes of the form 210k + 37.at n=37A140847
- Primes congruent to 34 mod 53.at n=37A142564
- Primes congruent to 55 mod 59.at n=35A142782
- Primes congruent to 28 mod 61.at n=30A142826
- Cyclops emirps.at n=24A183057
- Number of ascent sequences avoiding the pattern 000.at n=10A202058
- First primes of arithmetic progressions of 5 primes each with the common difference 30.at n=34A227281
- Number of partitions p of n such that the multiplicity of the mean of p is a part of p.at n=54A240491