true or false if n is an odd integer with n>3, then σ(n) is less than or equal to σ(n-1)

Question

If this is true, i need to provide a proof, and if it is false, i need to provide a counter example. I don't know where to begin on how to prove or disprove this since number theory is definitely a weak spot for me

Answer 1

It is false:

$$\sigma(63)=1+3+7+9+21+63 = 104$$

while $$\sigma(62)=1+2+31+62=96$$

and $104 \not \le 96$