number.wiki
Number

1,689

1,689 is a composite number, odd, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Evil Number Flippable Recamán's Sequence Semiprime Squarefree Year

Notable events — 1689 AD

  1. Feb 13 William and Mary accept the English Crown with the Declaration of Right.
  2. Dec 16 The English Bill of Rights becomes law.
  3. Sep 7 Russia and China sign the Treaty of Nerchinsk.

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
Saturday
January 1, 1689
Ended on
Saturday
December 31, 1689
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 10
Sunday, April 10, 1689
Decade
1680s
1680–1689
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
337
337 years before 2026.

In other calendars

Hebrew
5449 / 5450 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1100 / 1101 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Snake
Sexagenary cycle position 6 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2232 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1067 / 1068 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1681 / 1682 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1611 / 1610 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
24
Digit product
432
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
9,861
Flips to (rotate 180°)
6,891
Recamán's sequence
a(946) = 1,689
Square (n²)
2,852,721
Cube (n³)
4,818,245,769
Divisor count
4
σ(n) — sum of divisors
2,256
φ(n) — Euler's totient
1,124
Sum of prime factors
566

Primality

Prime factorization: 3 × 563

Nearest primes: 1,669 (−20) · 1,693 (+4)

Divisors & multiples

All divisors (4)
1 · 3 · 563 · 1689
Aliquot sum (sum of proper divisors): 567
Factor pairs (a × b = 1,689)
1 × 1689
3 × 563
First multiples
1,689 · 3,378 (double) · 5,067 · 6,756 · 8,445 · 10,134 · 11,823 · 13,512 · 15,201 · 16,890

Sums & aliquot sequence

As consecutive integers: 844 + 845 562 + 563 + 564 279 + 280 + 281 + 282 + 283 + 284
Aliquot sequence: 1,689 567 401 1 0 — terminates at zero

Representations

In words
one thousand six hundred eighty-nine
Ordinal
1689th
Roman numeral
MDCLXXXIX
Binary
11010011001
Octal
3231
Hexadecimal
0x699
Base64
Bpk=
One's complement
63,846 (16-bit)
In other bases
ternary (3) 2022120
quaternary (4) 122121
quinary (5) 23224
senary (6) 11453
septenary (7) 4632
nonary (9) 2276
undecimal (11) 12a6
duodecimal (12) b89
tridecimal (13) 9cc
tetradecimal (14) 889
pentadecimal (15) 779

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχπθʹ
Mayan (base 20)
𝋤·𝋤·𝋩
Chinese
一千六百八十九
Chinese (financial)
壹仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ١٦٨٩ Devanagari १६८९ Bengali ১৬৮৯ Tamil ௧௬௮௯ Thai ๑๖๘๙ Tibetan ༡༦༨༩ Khmer ១៦៨៩ Lao ໑໖໘໙ Burmese ၁၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,689 = 2
e — Euler's number (e)
Digit 1,689 = 8
φ — Golden ratio (φ)
Digit 1,689 = 7
√2 — Pythagoras's (√2)
Digit 1,689 = 4
ln 2 — Natural log of 2
Digit 1,689 = 9
γ — Euler-Mascheroni (γ)
Digit 1,689 = 4

Also seen as

Unicode codepoint
ڙ
Arabic Letter Reh With Four Dots Above
U+0699
Other letter (Lo)

UTF-8 encoding: DA 99 (2 bytes).

Hex color
#000699
RGB(0, 6, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.153.

Address
0.0.6.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.153

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

Position in π

The digit sequence 1689 first appears in π at position 17,926 of the decimal expansion (the 17,926ordinal-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.