### 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 )
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 )
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 