1,636
1,636 is a composite number, even, a calendar year.
1,636 (one thousand six hundred thirty-six) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 409. Written other ways, in Roman numerals it is MDCXXXVI and in binary, 11001100100.
Interestingness
Notable events — 1636 AD
- Sep 8 Harvard College is founded in Massachusetts.
- Jul 20 Roger Williams founds Providence, Rhode Island.
- Mar 5 The Pequot War erupts in New England.
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
- 52
- Started on
-
Tuesday
January 1, 1636
- Ended on
-
Wednesday
December 31, 1636
- Friday the 13ths
-
1
One Friday the 13th this year.
- Easter Sunday
-
March 23
Sunday, March 23, 1636
- Decade
-
1630s
1630–1639
- Century
-
17th century
1601–1700
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
390
390 years before 2026.
In other calendars
- Hebrew
-
5396 / 5397 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1045 / 1046 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2179 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1014 / 1015 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1628 / 1629 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1558 / 1557 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 409
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,636 = [40; (2, 4, 3, 1, 4, 1, 1, 1, 2, 2, 1, 6, 26, 1, 4, 2, 3, 15, 1, 8, 20, 8, 1, 15, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one thousand six hundred thirty-six
- Ordinal
- 1636th
- Roman numeral
- MDCXXXVI
- Binary
- 11001100100
- Octal
- 3144
- Hexadecimal
- 0x664
- Base64
- BmQ=
- One's complement
- 63,899 (16-bit)
- Scientific notation
- 1.636 × 10³
- As a duration
- 1,636 s = 27 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αχλϛʹ
- Mayan (base 20)
- 𝋤·𝋡·𝋰
- Chinese
- 一千六百三十六
- Chinese (financial)
- 壹仟陸佰參拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,636 = 0
- e — Euler's number (e)
- Digit 1,636 = 6
- φ — Golden ratio (φ)
- Digit 1,636 = 8
- √2 — Pythagoras's (√2)
- Digit 1,636 = 1
- ln 2 — Natural log of 2
- Digit 1,636 = 6
- γ — Euler-Mascheroni (γ)
- Digit 1,636 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1636, here are decompositions:
- 17 + 1619 = 1636
- 23 + 1613 = 1636
- 29 + 1607 = 1636
- 53 + 1583 = 1636
- 83 + 1553 = 1636
- 113 + 1523 = 1636
- 137 + 1499 = 1636
- 149 + 1487 = 1636
Showing the first eight; more decompositions exist.
UTF-8 encoding: D9 A4 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.100.
- Address
- 0.0.6.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.100
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,636 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, -26¢)
- Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, +11¢)
- Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, -25¢)
The digit sequence 1636 first appears in π at position 1,410 of the decimal expansion (the 1,410ordinal-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.