I am not a rabid fan of CSI, and I am not a forensic DNA expert, but I have two observations:
1. I don't believe this is true that DNA could remain there for almost a week.
2. If true - gross.
Genetic Identity Semen/Sperm Identification
http://64.233.179.104/search?q=cache:DYorvOCnX_YJ:www.dnatesting.biz/Semen_Sperm_ID/semen_sperm_id.html+semen+dna+can+last+days&hl=en&gl=us&ct=clnk&cd=5
During and after a sexual encounter, bodily secretions may be deposited on a number of items, including clothes, bed sheets, undergarments, discarded bathroom tissues, bath towels, carpet, couch cushions, condoms and feminine products, and can be identifiable for years as dried stains. With an average composition of 200300 million sperm in 2.5 3.5 mL of seminal fluid, sperm can be detected in semen stains present on a variety of materials. Sexually active women will often have sperm present in the vagina immediately following sexual intercourse, and sperm can last as long as 35 days in the vagina.