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How Is a Private Key Typically Represented (E.g. Format)?

A private key is fundamentally a large, random integer. It is commonly represented in several formats for user convenience and compatibility.

The most raw form is a 256-bit binary number. It is often encoded into hexadecimal format (64 characters), or more commonly, into Wallet Import Format (WIF) which includes a version byte and checksum for error checking.

The seed phrase is a human-readable representation for backup.

Can a Seed Phrase Be Used to Restore Multiple Private Keys?
What Is a Seed Phrase and Why Is Its Security Paramount?
What Is the Purpose of the ‘Passphrase’ in a BIP-39 Seed Phrase?
How Many Hexadecimal Characters Are Required to Represent a 256-Bit Hash?