17207
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17208
- 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
- 17206
- Möbius Function
- -1
- Radical
- 17207
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- 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
- 1982
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A001950 (upper Wythoff sequence).at n=29A025122
- T(n, 2*n-3), T given by A027960.at n=44A027965
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=35A055472
- Number of ways to write n as the arithmetic mean of a set of distinct primes.at n=27A072701
- a(n) = (n^3 + 6n^2 - n + 12)/6.at n=45A074742
- Binomial transform of generalized tetranacci numbers A073817: a(n)=Sum((-1)^k Binomial(n,k)*A073817(k),(k=0,..,n)).at n=17A075128
- Primes which can be expressed as sum of distinct powers of 7.at n=2A077721
- a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime.at n=30A080155
- Smallest member of a pair of consecutive twin prime pairs that have three primes between them.at n=22A089635
- Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=19A095697
- Primes p = prime(k) such that both p+2 and prime(k+6)-2 are prime numbers.at n=39A105413
- Numbers m such that m divides the sum of the 18th powers of the first m primes.at n=3A131278
- Area of the spiral of equilateral triangles with side lengths which follow the Padovan sequence, divided by the area of the initial triangle.at n=17A133044
- Primes congruent to 35 mod 53.at n=38A142565
- Primes congruent to 38 mod 59.at n=32A142765
- Primes congruent to 5 mod 61.at n=30A142803
- Lesser of Twin prime numbers of the form : i^2+j^3, as sum of square and cube, if Greater Twin prime number also of the form : i^2+j^3, as sum of square and cube.at n=5A143799
- The smaller member of a twin prime pair in which both primes are emirps.at n=31A175215
- Primes which are the sum of three distinct positive cubes in two or more distinct ways.at n=14A180088
- Primes whose base-7 representation also is the base-2 representation of a prime.at n=2A235464