factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

FF · Fully factored
id #1000000000000000063 19 digits
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Interesting number. INT64_MAX = 9223372036854775807 = 7^2 * 73 * 127 * 337 * 92737 * 649657; the Mersenne number M63 is far from prime.

Value

9223372036…07<19>
term 2^63-1
72×73×127×337×92737×649657
Show full digits Permalink ‹ prev prime next prime ›
Is factor of
Algebraic factorization 5 factors · complete

These factors follow from the form of the expression and multiply to exactly this number.

7^2 Cyclotomic Φ₃ 1 dig
73 Cyclotomic Φ₉ 2 dig
127 Cyclotomic Φ₇ 3 dig
337 Cyclotomic Φ₂₁ 3 dig
(2^63-1)*7/((2^21-1)*511) Cyclotomic Φ₆₃ 11 dig
From the command linefdb · curl
fdb
fdb number id:1000000000000000063 --detail 2
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1000000000000000063},"decimal":false,"detail":2}}'