number.wiki
Number

1,800

1,800 is a composite number, even, a calendar year.

Abundant Number Achilles Number Evil Number Flippable Gapful Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1800 AD

  1. Apr 24 Congress authorizes the Library of Congress.
  2. Jun 14 Napoleon defeats the Austrians at Marengo.
  3. Nov 17 The US Congress holds its first session in Washington, D.C.
  4. Dec 3 Thomas Jefferson and Aaron Burr tie in the electoral college; the House decides for Jefferson in February.
  5. May 7 The Indiana Territory is organized.

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, 1800
Ended on
Wednesday
December 31, 1800
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 13
Sunday, April 13, 1800
Decade
1800s
1800–1809
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
226
226 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew
5560 / 5561 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1214 / 1215 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2343 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1178 / 1179 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1792 / 1793 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1722 / 1721 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
81
Flips to (rotate 180°)
81
Recamán's sequence
a(16,099) = 1,800
Square (n²)
3,240,000
Cube (n³)
5,832,000,000
Divisor count
36
σ(n) — sum of divisors
6,045
φ(n) — Euler's totient
480
Sum of prime factors
22

Primality

Prime factorization: 2 3 × 3 2 × 5 2

Nearest primes: 1,789 (−11) · 1,801 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 50 · 60 · 72 · 75 · 90 · 100 · 120 · 150 · 180 · 200 · 225 · 300 · 360 · 450 · 600 · 900 (half) · 1800
Aliquot sum (sum of proper divisors): 4,245
Factor pairs (a × b = 1,800)
1 × 1800
2 × 900
3 × 600
4 × 450
5 × 360
6 × 300
8 × 225
9 × 200
10 × 180
12 × 150
15 × 120
18 × 100
20 × 90
24 × 75
25 × 72
30 × 60
36 × 50
40 × 45
First multiples
1,800 · 3,600 (double) · 5,400 · 7,200 · 9,000 · 10,800 · 12,600 · 14,400 · 16,200 · 18,000

Sums & aliquot sequence

As a sum of two squares: 6² + 42² = 30² + 30²
As consecutive integers: 599 + 600 + 601 358 + 359 + 360 + 361 + 362 196 + 197 + … + 204 113 + 114 + … + 127
Aliquot sequence: 1,800 4,245 2,571 861 483 285 195 141 51 21 11 1 0 — terminates at zero

Representations

In words
one thousand eight hundred
Ordinal
1800th
Roman numeral
MDCCC
Binary
11100001000
Octal
3410
Hexadecimal
0x708
Base64
Bwg=
One's complement
63,735 (16-bit)
In other bases
ternary (3) 2110200
quaternary (4) 130020
quinary (5) 24200
senary (6) 12200
septenary (7) 5151
nonary (9) 2420
undecimal (11) 1397
duodecimal (12) 1060
tridecimal (13) a86
tetradecimal (14) 928
pentadecimal (15) 800

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵αωʹ
Mayan (base 20)
𝋤·𝋪·𝋠
Chinese
一千八百
Chinese (financial)
壹仟捌佰
In other modern scripts
Eastern Arabic ١٨٠٠ Devanagari १८०० Bengali ১৮০০ Tamil ௧௮௦௦ Thai ๑๘๐๐ Tibetan ༡༨༠༠ Khmer ១៨០០ Lao ໑໘໐໐ Burmese ၁၈၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,800 = 8
e — Euler's number (e)
Digit 1,800 = 1
φ — Golden ratio (φ)
Digit 1,800 = 8
√2 — Pythagoras's (√2)
Digit 1,800 = 5
ln 2 — Natural log of 2
Digit 1,800 = 6
γ — Euler-Mascheroni (γ)
Digit 1,800 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1800, here are decompositions:

  • 11 + 1789 = 1800
  • 13 + 1787 = 1800
  • 17 + 1783 = 1800
  • 23 + 1777 = 1800
  • 41 + 1759 = 1800
  • 47 + 1753 = 1800
  • 53 + 1747 = 1800
  • 59 + 1741 = 1800

Showing the first eight; more decompositions exist.

Unicode codepoint
܈
Syriac Supralinear Colon Skewed Left
U+0708
Other punctuation (Po)

UTF-8 encoding: DC 88 (2 bytes).

Hex color
#000708
RGB(0, 7, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.8.

Address
0.0.7.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.8

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

Position in π

The digit sequence 1800 first appears in π at position 23,738 of the decimal expansion (the 23,738ordinal-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.