est-ce que plus le nombre est grand plus la somme de ses diviseurs est grande ? justifier ?

Question

Grade: Education Subject: mathematiques

Asked by: USER5941

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Answer (91)

USER7657

Best Answer

(551)

Bonjour,

Est-ce que plus le nombre est grand plus la somme de ses diviseurs est grande ?

La réponse est "non".

Par exemple,
Soit le nombre 4.
Ses diviseurs sont 1, 2 et 4.
La somme des diviseurs est 1 + 2 + 4 = 7.

Prenons un nombre plus grand que 4, soit le nombre 5.
Ses diviseurs sont 1 et 5.
La somme des diviseurs est 1 + 5 = 6.

5 est plus grand que 4 et pourtant la somme des diviseurs de 5 est plus petite que la somme des diviseurs de 4 car 6 < 7.

Answered on 26 Agustus 2025

est-ce que plus le nombre est grand plus la somme de ses diviseurs est grande ? justifier ?

Question

Answer (91)

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