A datacenter proxy runs on a server in a hosting facility, and its address belongs to that host's network. Nothing about it pretends to be a home connection. That brings real advantages: fast, stable links, low cost per IP, and addresses that stay the same for as long as you rent them.
The trade-off
Anyone can look up an IP's ASN and see that it belongs to a hosting company. Sites with strict bot rules treat hosting traffic with suspicion by default, so datacenter IPs are the first to be challenged on large retail, travel, social and search targets. On APIs, public data sites, your own infrastructure and targets that do not score by network type, they are often the best value available.
A quick way to decide: run your real job on a few datacenter IPs first. If it works, you have saved money. If it fails at the IP layer, step up to ISP proxies, which keep the static address but sit in consumer carrier networks.
Check the network type
curl -s -x http://USERNAME:PASSWORD@HOST:PORT https://ipinfo.io/json
The org field names the network behind the exit IP. For a datacenter proxy it is a hosting or cloud company.
On ProxyHive
Datacenter IPs are static and sold per IP, from one address at $3.20/IP a month, chosen by country, region and city. Each IP is its own endpoint. See datacenter proxies, and what is a datacenter proxy for the longer treatment of speed, detection and the jobs it suits.