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Number

1,636

1,636 is a composite number, even, a calendar year.

Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Year

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

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 108
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 6,361
Recamán's sequence: a(680) = 1,636
Square (n²): 2,676,496
Cube (n³): 4,378,747,456
Divisor count: 6
σ(n) — sum of divisors: 2,870
φ(n) — Euler's totient: 816
Sum of prime factors: 413

Primality

Prime factorization: 2 ² × 409

Nearest primes: 1,627 (−9) · 1,637 (+1)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 409 · 818 (half) · 1636

Aliquot sum (sum of proper divisors): 1,234

Factor pairs (a × b = 1,636)

1 × 1636

2 × 818

4 × 409

First multiples

1,636 · 3,272 (double) · 4,908 · 6,544 · 8,180 · 9,816 · 11,452 · 13,088 · 14,724 · 16,360

Sums & aliquot sequence

As a sum of two squares: 6² + 40²

As consecutive integers: 201 + 202 + … + 208

Aliquot sequence: 1,636 → 1,234 → 620 → 724 → 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 — unresolved within range

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)

In other bases

ternary (3) 2020121

quaternary (4) 121210

quinary (5) 23021

senary (6) 11324

septenary (7) 4525

nonary (9) 2217

undecimal (11) 1258

duodecimal (12) b44

tridecimal (13) 98b

tetradecimal (14) 84c

pentadecimal (15) 741

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

In other modern scripts

Eastern Arabic ١٦٣٦ Devanagari १६३६ Bengali ১৬৩৬ Tamil ௧௬௩௬ Thai ๑๖๓๖ Tibetan ༡༦༣༦ Khmer ១៦៣៦ Lao ໑໖໓໖ Burmese ၁၆၃၆

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 decomposition

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.

Unicode codepoint

٤

Arabic-Indic Digit Four

U+0664

Decimal digit (Nd)

UTF-8 encoding: D9 A4 (2 bytes).

Lookup U+0664 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000664

RGB(0, 6, 100)

IPv4 address

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.

Position in π

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.

Look up 1636 on Pi Search ↗