1,564
1,564 is a composite number, even, a calendar year.
1,564 (one thousand five hundred sixty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 23. Written other ways, in Roman numerals it is MDLXIV and in binary, 11000011100.
Interestingness
Notable events — 1564 AD
- Apr 26 William Shakespeare is baptized in Stratford-upon-Avon.
- Feb 15 Galileo Galilei is born in Pisa.
- Jul 25 Holy Roman Emperor Ferdinand I dies.
Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0
Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Wednesday
January 1, 1564
- Ended on
-
Thursday
December 31, 1564
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1560s
1560–1569
- Century
-
16th century
1501–1600
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
462
462 years before 2026.
In other calendars
- Hebrew
-
5324 / 5325 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
971 / 972 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2107 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
942 / 943 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1556 / 1557 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1486 / 1485 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 17 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,564 = [39; (1, 1, 4, 1, 3, 2, 1, 9, 5, 5, 1, 7, 1, 18, 1, 7, 1, 5, 5, 9, 1, 2, 3, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one thousand five hundred sixty-four
- Ordinal
- 1564th
- Roman numeral
- MDLXIV
- Binary
- 11000011100
- Octal
- 3034
- Hexadecimal
- 0x61C
- Base64
- Bhw=
- One's complement
- 63,971 (16-bit)
- Scientific notation
- 1.564 × 10³
- As a duration
- 1,564 s = 26 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αφξδʹ
- Mayan (base 20)
- 𝋣·𝋲·𝋤
- Chinese
- 一千五百六十四
- Chinese (financial)
- 壹仟伍佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,564 = 2
- e — Euler's number (e)
- Digit 1,564 = 4
- φ — Golden ratio (φ)
- Digit 1,564 = 4
- √2 — Pythagoras's (√2)
- Digit 1,564 = 5
- ln 2 — Natural log of 2
- Digit 1,564 = 2
- γ — Euler-Mascheroni (γ)
- Digit 1,564 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1564, here are decompositions:
- 5 + 1559 = 1564
- 11 + 1553 = 1564
- 41 + 1523 = 1564
- 53 + 1511 = 1564
- 71 + 1493 = 1564
- 83 + 1481 = 1564
- 113 + 1451 = 1564
- 131 + 1433 = 1564
Showing the first eight; more decompositions exist.
UTF-8 encoding: D8 9C (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.28.
- Address
- 0.0.6.28
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.28
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,564 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -4¢)
- Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +33¢)
- Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -3¢)
The digit sequence 1564 first appears in π at position 16,079 of the decimal expansion (the 16,079ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.