       Re: Integer Length Count

• To: mathgroup at smc.vnet.net
• Subject: [mg128762] Re: Integer Length Count
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Sat, 24 Nov 2012 02:26:06 -0500 (EST)
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• Delivered-to: l-mathgroup@wolfram.com
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```On 11/23/12 at 3:28 AM, sylviehobbs at comcast.net wrote:

>I use a function in SAS that takes, in my case, a billion different
>integers of varying length and counts the frequency of the length of
>each integer by converting the digits in the integers into alpha
>characters and counting the frequency of the right most position of
>the alpha character.

>Meanwhile, let me know any recommendations you have on a Mathematica
>function that parallels the SAS Function.

To count the number of digits in an integer (base 10)

In:= a = Table[RandomInteger[10^n], {n, 5}]

Out= {2,22,96,7194,38207}

In:= Length[IntegerDigits@#] & /@ a

Out= {1,2,2,4,5}

To get the frequency of any list of items

In:= Tally[RandomInteger[10, 10000]]

Out= {{7, 966}, {1, 920}, {3, 918}, {9, 937}, {0, 864}, {5, 918},
{6, 910}, {10, 890}, {4, 892}, {8, 924}, {2, 861}}

```

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