[[2022]] is not prime (composite): [[2]] * [[3]] * [[337]]

Factor pairs: [[2]] * [[1011]], [[3]] * [[674]], [[6]] * [[337]]

Prime neighborhood: [[2003]], [[2011]], [[2017]], [[2022]], [[2027]], [[2029]], [[2039]]

Prime gap: 10 (interval [[2017]] to [[2027]])

Primes up to 2022: [[2]], [[3]], [[5]], [[7]], [[11]], [[13]], [[17]], [[19]], [[23]], [[29]], [[31]], [[37]], [[41]], [[43]], [[47]], [[53]], [[59]], [[61]], [[67]], [[71]], [[73]], [[79]], [[83]], [[89]], [[97]], [[101]], [[103]], [[107]], [[109]], [[113]], [[127]], [[131]], [[137]], [[139]], [[149]], [[151]], [[157]], [[163]], [[167]], [[173]], [[179]], [[181]], [[191]], [[193]], [[197]], [[199]], [[211]], [[223]], [[227]], [[229]], [[233]], [[239]], [[241]], [[251]], [[257]], [[263]], [[269]], [[271]], [[277]], [[281]], [[283]], [[293]], [[307]], [[311]], [[313]], [[317]], [[331]], [[337]], [[347]], [[349]], [[353]], [[359]], [[367]], [[373]], [[379]], [[383]], [[389]], [[397]], [[401]], [[409]], [[419]], [[421]], [[431]], [[433]], [[439]], [[443]], [[449]], [[457]], [[461]], [[463]], [[467]], [[479]], [[487]], [[491]], [[499]], [[503]], [[509]], [[521]], [[523]], [[541]], [[547]], [[557]], [[563]], [[569]], [[571]], [[577]], [[587]], [[593]], [[599]], [[601]], [[607]], [[613]], [[617]], [[619]], [[631]], [[641]], [[643]], [[647]], [[653]], [[659]], [[661]], [[673]], [[677]], [[683]], [[691]], [[701]], [[709]], [[719]], [[727]], [[733]], [[739]], [[743]], [[751]], [[757]], [[761]], [[769]], [[773]], [[787]], [[797]], [[809]], [[811]], [[821]], [[823]], [[827]], [[829]], [[839]], [[853]], [[857]], [[859]], [[863]], [[877]], [[881]], [[883]], [[887]], [[907]], [[911]], [[919]], [[929]], [[937]], [[941]], [[947]], [[953]], [[967]], [[971]], [[977]], [[983]], [[991]], [[997]], [[1009]], [[1013]], [[1019]], [[1021]], [[1031]], [[1033]], [[1039]], [[1049]], [[1051]], [[1061]], [[1063]], [[1069]], [[1087]], [[1091]], [[1093]], [[1097]], [[1103]], [[1109]], [[1117]], [[1123]], [[1129]], [[1151]], [[1153]], [[1163]], [[1171]], [[1181]], [[1187]], [[1193]], [[1201]], [[1213]], [[1217]], [[1223]], [[1229]], [[1231]], [[1237]], [[1249]], [[1259]], [[1277]], [[1279]], [[1283]], [[1289]], [[1291]], [[1297]], [[1301]], [[1303]], [[1307]], [[1319]], [[1321]], [[1327]], [[1361]], [[1367]], [[1373]], [[1381]], [[1399]], [[1409]], [[1423]], [[1427]], [[1429]], [[1433]], [[1439]], [[1447]], [[1451]], [[1453]], [[1459]], [[1471]], [[1481]], [[1483]], [[1487]], [[1489]], [[1493]], [[1499]], [[1511]], [[1523]], [[1531]], [[1543]], [[1549]], [[1553]], [[1559]], [[1567]], [[1571]], [[1579]], [[1583]], [[1597]], [[1601]], [[1607]], [[1609]], [[1613]], [[1619]], [[1621]], [[1627]], [[1637]], [[1657]], [[1663]], [[1667]], [[1669]], [[1693]], [[1697]], [[1699]], [[1709]], [[1721]], [[1723]], [[1733]], [[1741]], [[1747]], [[1753]], [[1759]], [[1777]], [[1783]], [[1787]], [[1789]], [[1801]], [[1811]], [[1823]], [[1831]], [[1847]], [[1861]], [[1867]], [[1871]], [[1873]], [[1877]], [[1879]], [[1889]], [[1901]], [[1907]], [[1913]], [[1931]], [[1933]], [[1949]], [[1951]], [[1973]], [[1979]], [[1987]], [[1993]], [[1997]], [[1999]], [[2003]], [[2011]], [[2017]] (306 total).

[[2022]] is not a centered hexagonal number.

The closest centered hexagonal numbers are [[1951]] (index # [[26]]) and [[2107]] (index # [[27]]).

First 20 centered hexagonal numbers: [[1]], [[7]], [[19]], [[37]], [[61]], [[91]], [[127]], [[169]], [[217]], [[271]], [[331]], [[397]], [[469]], [[547]], [[631]], [[721]], [[817]], [[919]], [[1027]], [[1141]].

[[hz/2022]] is closest to [[B6]] at [[2022]] Hz (+40 cents).

Note class: [[B]], Octave: [[octave/6]].

• [[square]]: 4088484

• [[square root]]: 44.9667

• [[cube]]: 8266914648

• [[cube root]]: 12.6452

• [[natural log]] (ln): 7.6118

• [[base-10 log]] (log10): 3.3058

• [[base-2 log]] (log2): 10.9816