17209
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
- 17210
- 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
- 17208
- Möbius Function
- -1
- Radical
- 17209
- 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
- 79
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1983
- 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) = 10x + 3.at n=37A023300
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=25A031844
- Denominators of continued fraction convergents to sqrt(478).at n=11A041913
- Numbers whose base-7 representation contains exactly four 1's.at n=35A043400
- Primes with 14 as smallest positive primitive root.at n=11A061327
- Primes p such that q-p = 22, where q is the next prime after p.at n=31A061779
- Primes of the form a^4 + b^3 with b>0.at n=35A100271
- Primes congruent to 37 mod 53.at n=37A142567
- Primes congruent to 40 mod 59.at n=29A142767
- Primes congruent to 7 mod 61.at n=39A142805
- Primes p such that p^2 - 2 is a 5-almost prime.at n=24A156620
- Primes of the form m*(m+1)/2 + 4.at n=29A159048
- a(n) = 13*n^2 + 10*n + 1.at n=36A161587
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,1,5,5,2,3 for x=0,1,2,3,4,5,6.at n=6A197627
- Smallest m such that the period of the continued fraction of sqrt(m) is A215485(n); records of A013646.at n=25A215508
- Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p * 2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2).at n=21A232237
- Primes of the form 3^x + y^3 with x, y >0.at n=28A250716
- Primes p such that 2*p+1 is divisible by the sum of digits of p+1.at n=29A267542
- Twin primes both of which are the sum of three positive cubes.at n=9A272376
- Sum of squares of numbers less than n that do not divide n.at n=37A276984