Unlike oddly even and evenly even (doubly even) integers, the concept of evenly odd and oddly odd are rarely used.
The sequence of odd numbers is defined by Un = 2n - 1 where n is an integer.
They can also be defined as 2n + 1, but the previous definition is consistent with the first odd number being 1 whereas with the second definition, 1 is the 0th odd number.
If you accept that definition, then an evenly odd number is of the form 2(2m) - 1 where m is an integer.
The sequence is
EOm = 4m - 1 where m = 1, 2, 3, ...
or 3, 7, 11, ...
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Odd. It cannot be evenly divided by 2.
Any number evenly divisible by an even number is also even. A number evenly divisible by an odd number (such as 5) could be either even or odd.
It is an odd number because it is not divisible by 2 evenly
If its not divisible by 2 evenly then it is an odd number.
The number 137 is odd. Any number that is not evenly divisible by 2 is odd.