An hour is an arbitrary period of time which, on Terra, was determined by dividing the rotational period of the planet (day) into 24, for various mathematical and cultural reasons, by one particular civilization (Greeks).
There is absolutely nothing magic about either that period of time nor of the division of the rotational period into 24 parts (just as dividing a circle into 360 parts [degrees] instead of another number was a choice, not a cosmic certainty).
If the planet has no indigenous sentient life, then the number of divisions of the rotational period will be decided by the culture/species that colonizes it - and they can decide to either:
1. keep the same number of "hours" per day they had on their home-world - likely resulting in an "hour" of different length than "back home"
2. keep the same length of "hour", and thus likely have a different number of hours in a day
3. or develop a new system of measuring time within a day (with a different number of hours of different length than "back home" (possibly with a completely different name) - just to make clear the "new start" of their colony.
If the planet does have indigenous sentient life, then the number of divisions of the rotational period will be decided by the culture/species that already inhabits the planet*, and colonists will then face the same 3 choices as above, with the addition of:
4. adopt the natives' system
* As determined by their own mathematical/religious systems - they could have 10 "hours" per day, or 10 hours for the light period and 10 per dark period - or perhaps they use an octal numbering system, and have 16 hours per day.
Or perhaps they determine time by some other standard - starting with a short period (the time it takes to walk/fly/swim a certain distance, for example [maybe the The Holy Furlong**]) and all other time measures are derived from that.
** The distance a great spiritual leader of the past walked to perform a certain miracle.
12 is a likely division for time and circles- prime factorization is 1*2*2*3 - which gives whole number ÷2, ÷3 & ÷4.
60 is even more likely, as it adds ÷5 (Prime Factor 1*2*2*3*5)
360 prime factorization (1*2*2*2*3*3*5), for easy divisions ÷2, ÷3, ÷4, ÷5, ÷6, ÷8, ÷10, ÷12, ÷15, ÷20, ÷25, ÷30, ÷36, ÷40, ÷45, ÷60, ÷72, ÷90.
2520 is better still - (1*2*2*2*3*3*5*7) but too large for most people...
3*4*5*7 gives a base of 420, prime factorization of 2*2*3*5*7, ÷2, ÷3 ÷4, ÷5, ÷6, ÷7, ÷10, ÷12, ÷14, ÷15.
Most human calendars have stuck close to the natural phenomena - 28-32 day months, 360-366 day years, with several using an inter-calendary period of 5 or 6 days to actually have a "360 day year"...
Almost all have divided the day into either 12 or 24 chunks of a day, nominally translating as "hours"... (The Japanese 12 hour day was linked to their 12 month astrological calendar - the same order as the months, and the years also in same order.)
24 is the product of 1*2*3*4.
120 is the product of 1*2*3*4*5 - and so should not be uncommon... but it is.
Mathematical bases in use have been an interesting mix, too.
Preindustrial societies have used Base 5, base 12, base 20, base 60, and base 10, with 10 being dominant. Note that both 20 and 60 generally have used compounded symbols (5's and 1's).
A world's hour-equivalent should be one of:
- expressed in 10 or 100 in whatever base they use (which is likely 3, 4, 5, 10, 12, or 16, with an outside chance of 20 or 60)
- an even multiple of the product of the first several primes (6=1*2*3, 30=1*2*3*5, 210=1*2*3*5*7)
- an even multiple of the product of the first X integers (6=1*2*3, 24=1*2*3*4, 120=1*2*3*4*5, 720=1*2*3*4*5*6)
anything else is probably based upon borrowed units.
Subunits are likely to be similarly configured, but not of any need the same configuration... but 360's pretty likely, as is 3600 and or 60, for simple divisibility.