About the Number 17 (seventeen)

This nBAB was created on St. Patrick's Day 2009 (i.e. 17 March 2009).

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   17 is a natural, whole, integer
   17 is odd
   17 proper divisors are: 1,
   17 is deficient (sum of divisors is 1)
   17 is unhappy
   17 is not a Harshad number
   17 is prime
   ...Cousin prime with 13
   ...Sexy prime with 23
   ...Sexy prime with 11
   ...Twin prime with 19
   ...Pythagorean
   ...Super
   ...Left-truncatable
   ...prime triplet {11, 13, 17}
   ...prime triplet {13, 17, 19}
   ...prime triplet {17, 19, 23}
   ...prime quadruplet {11, 13, 17, 19}
   17 is undulating
   17 in octal is 021
   17 in hexadecimal is 0x11
   17 in binary is 10001 (is evil)
   17 nearest square numbers: -1...8 (16...25 [5])
   sqrt(17) = 4.12311
   ln(17) = 2.83321
   log(17) = 1.23045
   17 reciprocal is .05882352941176470588235294117647
   17! is 3.55687e+14
   17 is 5.41127 Pi years
   17 is 0 score and 17 years
   17 written as a Roman numeral is XVII

[Wikipedia] 17 is a Fermat number because it is of the form 2^2^n + 1.

   let n=2, 2^2^2 + 1 = 2^4 + 1 = 16 + 1 = 17

The first few Fermat numbers are...

   3, 5, 17, 257, 65537, 4294967297, 18446744073709551617

OEIS.org::id:A000215

Update::2011.06.04

On 2 June 2011, while in Mountain View, California, RoadHacker encountered his first 17 MPH prime numbered speed limit sign. This nBAB for the number 17 was created on 17 March 2009 and since then functionality was added to the MBNA. The following is the MBNA output for the number 17 generated on 4 June 2011 with the new output rendered in bold.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   17 is a natural, whole, integer
   17 is odd
   17 proper divisors are: 1,
   17 is deficient (sum of divisors is 1)
   17 is unhappy
   17 is not a Harshad number
   17 is prime
   ...Cousin prime with 13
   ...Sexy prime with 23
   ...Sexy prime with 11
   ...Twin prime with 19
   ...Truman Gerald prime with 47
   ...Pythagorean
   ...Super
   ...reversible prime with 71
   ...Left-truncatable
   ...Eisenstein
   ...prime triplet {11, 13, 17}
   ...prime triplet {13, 17, 19}
   ...prime triplet {17, 19, 23}
   ...prime quadruplet {11, 13, 17, 19}
   17 is undulating
   17 is a Leyland number (2^4+4^2)
   17 is the sum of 4 consecutive primes
   ...17 = 2 + 3 + 5 + 7
   17 in octal is 021
   17 in hexadecimal is 0x11
   17 in binary is 10001 (is evil)
   17 nearest square numbers: -1...8 (16...25 [5])
   sqrt(17) = 4.12311
   ln(17) = 2.83321
   log(17) = 1.23045
   17 reciprocal is .05882352941176470588235294117647
   17! is 3.55687e+14
   17 is 5.41127 Pi years
   17 is 0 score and 17 years
   17 written as a Roman numeral is XVII
   17 = 9^2 - 8^2 and 9 + 8 = 17

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 17 March 2009

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This work is licensed under a Creative Commons Attribution 3.0 United States License.