There are all sorts of numbers to which we have attached names that suggest that they have almost-human characters (the correct technical term is personification). So there are perfect numbers, real numbers, complex numbers, and even narcissistic numbers*

Narcissistic numbers are those where the number itself is equal to the sum of its own digits each raised to the power of the number of digits (e.g. 153 = 13 + 53 + 33). But, as the example in the illustration above shows (the series continues indefinitely) there are some numbers that surpass even this degree of narcissism.

I’m sure they must be well-known to mathematicians, but I haven’t been able to find out anything about them – even what they are called. If they don’t have a name, how about egocentric numbers?


*There are even taxicab numbers (these are numbers that can be written as the sum of two cubes in two different ways)

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