5008 = 24 x 313.
5008 has a representation as a sum of two squares: 5008 = 482 + 522.
5008 is a divisor of 254 - 1.
5008 is 130013 in base 5.
5008 is the number of permutations of length 7 such that at least one absolute difference between consecutive elements has a distinct partner.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBlxEDcW7iSpiDBZtN4asrBCF9ju91-Ww3Xp2fOwLNOay_Mal2p81aQAYlTLJtpcN-jHfd3gwidHPbcFU931wnKQPDqGWoTHACwNs0x6KNEcxWR920EAIQOWvy0gRc6-rlE9BNCX99TZc/s200/n5008.jpg)
Source: WolframAlpha