Sayyiduna Abdullah bin Amr (may Allah be pleased with him) narrates: The Prophet Muhammad (peace and blessings be upon him) said: "A child born as a result of adultery, a person who reminds others of his favors, a disobedient (to parents), and a habitual drinker of alcohol will not enter Paradise." (Imam Ibn Hibban, may Allah have mercy on him, says:): The Prophet Muhammad's (peace and blessings be upon him) negation of the entry into Paradise for a child born as a result of adultery, even though such a child should not bear the burden of his parents' sin, means: Children born as a result of adultery generally commit more prohibited acts. Therefore, by this, the Prophet Muhammad (peace and blessings be upon him) meant that a child born as a result of adultery will not enter that part of Paradise where those people will enter who were not born as a result of adultery and did not frequently commit prohibited acts.
Hadith Referenceصحیح ابن حبان / كتاب الزكاة / 3383
Hadith Gradingفضيلة الشيخ الإمام محمد ناصر الدين الألبانيحسن - «الصحيحة» (673).فضيلة الشيخ العلّامة شُعيب الأرناؤوطإسناده ضعيف