Number

1,804

1,804 is a composite number, even, a calendar year.

1,804 (one thousand eight hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 41. Written other ways, in Roman numerals it is MDCCCIV and in binary, 11100001100.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,792 1,793 1,794 1,795 1,796 1,797 1,798 1,799 1,800 1,801 1,802 1,803 1,804 1,805 1,806 1,807 1,808 1,809 1,810 1,811 1,812 1,813 1,814 1,815 1,816

less more

Notable events — 1804 AD

May 14 Lewis and Clark's Corps of Discovery departs St. Louis to explore the West.
May 18 The French Senate proclaims Napoleon Emperor of the French.
Jan 1 Haiti declares independence as the first Black-led republic.
Jul 11 Aaron Burr fatally wounds Alexander Hamilton in a duel.
Dec 2 Napoleon crowns himself Emperor at Notre-Dame in Paris.

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: Sunday
January 1, 1804
Ended on: Monday
December 31, 1804
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 1
Sunday, April 1, 1804
Decade: 1800s
1800–1809
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 222
222 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew: 5564 / 5565 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1218 / 1219 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2347 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1182 / 1183 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1796 / 1797 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1726 / 1725 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 4,081
Recamán's sequence: a(16,091) = 1,804
Square (n²): 3,254,416
Cube (n³): 5,870,966,464
Divisor count: 12
σ(n) — sum of divisors: 3,528
φ(n) — Euler's totient: 800
Sum of prime factors: 56

Primality

Prime factorization: 2 ² × 11 × 41

Nearest primes: 1,801 (−3) · 1,811 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 11 · 22 · 41 · 44 · 82 · 164 · 451 · 902 (half) · 1804

Aliquot sum (sum of proper divisors): 1,724

Factor pairs (a × b = 1,804)

1 × 1804

2 × 902

4 × 451

11 × 164

22 × 82

41 × 44

First multiples

1,804 · 3,608 (double) · 5,412 · 7,216 · 9,020 · 10,824 · 12,628 · 14,432 · 16,236 · 18,040

Sums & aliquot sequence

As consecutive integers: 222 + 223 + … + 229 159 + 160 + … + 169 24 + 25 + … + 64

Aliquot sequence: 1,804 → 1,724 → 1,300 → 1,738 → 1,142 → 574 → 434 → 334 → 170 → 154 → 134 → 70 → 74 → 40 → 50 → 43 → 1 — unresolved within range

Continued fraction of √n

√1,804 = [42; (2, 8, 1, 16, 10, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 20, 1, 1, 1, 1, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred four
Ordinal: 1804th
Roman numeral: MDCCCIV
Binary: 11100001100
Octal: 3414
Hexadecimal: 0x70C
Base64: Bww=
One's complement: 63,731 (16-bit)
Scientific notation: 1.804 × 10³
As a duration: 1,804 s = 30 minutes, 4 seconds

In other bases

ternary (3) 2110211

quaternary (4) 130030

quinary (5) 24204

senary (6) 12204

septenary (7) 5155

nonary (9) 2424

undecimal (11) 13a0

duodecimal (12) 1064

tridecimal (13) a8a

tetradecimal (14) 92c

pentadecimal (15) 804

Palindromic in base 13

As an angle

1,804° = 5 × 360° + 4°

4° ≈ 0.07 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αωδʹ
Mayan (base 20): 𝋤·𝋪·𝋤
Chinese: 一千八百零四
Chinese (financial): 壹仟捌佰零肆

In other modern scripts

Eastern Arabic ١٨٠٤ Devanagari १८०४ Bengali ১৮০৪ Tamil ௧௮௦௪ Thai ๑๘๐๔ Tibetan ༡༨༠༤ Khmer ១៨០៤ Lao ໑໘໐໔ Burmese ၁၈၀၄

Digit at this position in famous constants

π — Pi (π): Digit 1,804 = 7
e — Euler's number (e): Digit 1,804 = 9
φ — Golden ratio (φ): Digit 1,804 = 8
√2 — Pythagoras's (√2): Digit 1,804 = 7
ln 2 — Natural log of 2: Digit 1,804 = 9
γ — Euler-Mascheroni (γ): Digit 1,804 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1804, here are decompositions:

3 + 1801 = 1804
17 + 1787 = 1804
71 + 1733 = 1804
83 + 1721 = 1804
107 + 1697 = 1804
137 + 1667 = 1804
167 + 1637 = 1804
191 + 1613 = 1804

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Harklean Metobelus

U+070C

Other punctuation (Po)

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

Lookup U+070C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00070C

RGB(0, 7, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.12.

Address: 0.0.7.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.12

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

Musical pitch

Heard as a frequency, 1,804 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, +43¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, -20¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, +44¢)

Position in π

The digit sequence 1804 first appears in π at position 24,700 of the decimal expansion (the 24,700ordinal-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 1804 on Pi Search ↗