Horse chromosomes
64 — an even number, chromosomes pair up neatly
Evolutionary Biology
The mule is one of humanity's oldest and most useful inventions — stronger than a horse, more stubborn than a donkey, and almost completely incapable of making another mule. This is not a flaw. It is, in a quietly fascinating way, basic arithmetic.
Mules are sterile because horses have 64 chromosomes and donkeys have 62. A mule inherits 32 from each parent, ending up with 63 — an odd number. Chromosomes work in pairs, and a mule's 63rd chromosome has no partner. This makes the cell division required to produce sperm or eggs essentially impossible. No eggs or sperm, no offspring.

Horse chromosomes
64 — an even number, chromosomes pair up neatly
Donkey chromosomes
62 — also even, also fine on its own
Mule chromosomes
63 — one is always left without a partner, which causes the problem
Exceptions
A small number of female mules have produced offspring. Male mules: essentially never
Hybrid vigor
Mules are harder-working and longer-lived than either parent species — sterility is the only trade-off
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