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Number

1,687

1,687 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1687 AD

Jul 5 Isaac Newton publishes Philosophiæ Naturalis Principia Mathematica.
Aug 12 Habsburg forces defeat the Ottomans at Mohács.
Apr 4 James II issues a Declaration of Indulgence.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 1687
Ended on: Wednesday
December 31, 1687
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: March 30
Sunday, March 30, 1687
Decade: 1680s
1680–1689
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 339
339 years before 2026.

In other calendars

Hebrew: 5447 / 5448 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1098 / 1099 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2230 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1065 / 1066 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1679 / 1680 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1609 / 1608 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 22
Digit product: 336
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 7,861
Recamán's sequence: a(842) = 1,687
Square (n²): 2,845,969
Cube (n³): 4,801,149,703
Divisor count: 4
σ(n) — sum of divisors: 1,936
φ(n) — Euler's totient: 1,440
Sum of prime factors: 248

Primality

Prime factorization: 7 × 241

Nearest primes: 1,669 (−18) · 1,693 (+6)

Divisors & multiples

All divisors (4)

1 · 7 · 241 · 1687

Aliquot sum (sum of proper divisors): 249

Factor pairs (a × b = 1,687)

1 × 1687

7 × 241

First multiples

1,687 · 3,374 (double) · 5,061 · 6,748 · 8,435 · 10,122 · 11,809 · 13,496 · 15,183 · 16,870

Sums & aliquot sequence

As consecutive integers: 843 + 844 238 + 239 + … + 244 114 + 115 + … + 127

Aliquot sequence: 1,687 → 249 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: one thousand six hundred eighty-seven
Ordinal: 1687th
Roman numeral: MDCLXXXVII
Binary: 11010010111
Octal: 3227
Hexadecimal: 0x697
Base64: Bpc=
One's complement: 63,848 (16-bit)

In other bases

ternary (3) 2022111

quaternary (4) 122113

quinary (5) 23222

senary (6) 11451

septenary (7) 4630

nonary (9) 2274

undecimal (11) 12a4

duodecimal (12) b87

tridecimal (13) 9ca

tetradecimal (14) 887

pentadecimal (15) 777

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αχπζʹ
Mayan (base 20): 𝋤·𝋤·𝋧
Chinese: 一千六百八十七
Chinese (financial): 壹仟陸佰捌拾柒

In other modern scripts

Eastern Arabic ١٦٨٧ Devanagari १६८७ Bengali ১৬৮৭ Tamil ௧௬௮௭ Thai ๑๖๘๗ Tibetan ༡༦༨༧ Khmer ១៦៨៧ Lao ໑໖໘໗ Burmese ၁၆၈၇

Digit at this position in famous constants

π — Pi (π): Digit 1,687 = 3
e — Euler's number (e): Digit 1,687 = 4
φ — Golden ratio (φ): Digit 1,687 = 3
√2 — Pythagoras's (√2): Digit 1,687 = 8
ln 2 — Natural log of 2: Digit 1,687 = 7
γ — Euler-Mascheroni (γ): Digit 1,687 = 2

Also seen as

Unicode codepoint

ڗ

Arabic Letter Reh With Two Dots Above

U+0697

Other letter (Lo)

UTF-8 encoding: DA 97 (2 bytes).

Lookup U+0697 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000697

RGB(0, 6, 151)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.151.

Address: 0.0.6.151
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.151

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1687 first appears in π at position 20,566 of the decimal expansion (the 20,566ordinal-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 1687 on Pi Search ↗