First of all, I wouldn't choose the MP1584 because...

However, let us ignore this warning.
The MP1584 Datasheet (page 15) shows a reference design using a 15uH inductor and from the online tool, the inductor's value is 9.1uH. Why?
If we go to page 10, we will find this equation:
But, what is Delta_IL (inductor ripple current)? Please refer to this Analog Devices article (read this ENTIRE article).
So, from the above equation, we know the switching frequency (910 kHz), we know the output voltage (5V), we know the input voltage (24V)
And how I do calculate Delta_IL? Please refer to this Texas Instruments article
specifically, here (page 3)
Basically
Delta_IL = k * Iout (max)
From the online tool, the inductor current ripple is 16% (0.16) Therefore Delta_IL will be:
Delta_IL = 0.16*3A = 0.48 A
What happen if we replace all these values in the inductor equation?

Now, what will be the value of the ripple current in the datasheet typical application so that the inductor's value is 15uH?
Let's first determine what is the switching frequency. From the datasheet page 9, we get this another equation
If we isolate the Fs(kHz) variable we get:
From the example, we get a 100kOhm resistor value, then

Now, let's isolate Delta_IL value from inductor's equation:

replacing values we get:

this value in percentage will be:
k = Delta_IL / Iout(max) = 0.28998779/3 = 9.66%
If we put this value in the online tool we will get:
Therefore, the application shown in the datasheet is assuming a ripple current of 9.66% while you set a ripple current of 16% in your design