Number

204

204 is a composite number, even, a calendar year.

204 (two hundred four) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 17. Its proper divisors sum to 300, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCIV and in binary, 11001100.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Nonagonal Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Square Pyramidal Year

Interestingness

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9 notable facts · grade A

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Historical context — 204 AD

Calendar year

Year 204 (CCIV) was a leap year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 204 BC

Calendar year

Year 204 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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, 204
Ended on: Monday
December 31, 204
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 200s
200–209
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,822
1822 years before 2026.

In other calendars

Hebrew: 3964 / 3965 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 747 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 196 / 197 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 126 / 125 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 8 bits
Reversed: 402
Recamán's sequence: a(1,363) = 204
Square (n²): 41,616
Cube (n³): 8,489,664
Divisor count: 12
σ(n) — sum of divisors: 504
φ(n) — Euler's totient: 64
Sum of prime factors: 24

Primality

Prime factorization: 2 ² × 3 × 17

Nearest primes: 199 (−5) · 211 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 (half) · 204

Aliquot sum (sum of proper divisors): 300

Factor pairs (a × b = 204)

1 × 204

2 × 102

3 × 68

4 × 51

6 × 34

12 × 17

First multiples

204 · 408 (double) · 612 · 816 · 1,020 · 1,224 · 1,428 · 1,632 · 1,836 · 2,040

Sums & aliquot sequence

As consecutive integers: 67 + 68 + 69 22 + 23 + … + 29 4 + 5 + … + 20

Aliquot sequence: 204 → 300 → 568 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√204 = [14; (3, 1, 1, 6, 1, 1, 3, 28)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: two hundred four
Ordinal: 204th
Roman numeral: CCIV
Binary: 11001100
Octal: 314
Hexadecimal: 0xCC
Base64: zA==
One's complement: 51 (8-bit)
Scientific notation: 2.04 × 10²
As a duration: 204 s = 3 minutes, 24 seconds

In other bases

ternary (3) 21120

quaternary (4) 3030

quinary (5) 1304

senary (6) 540

septenary (7) 411

nonary (9) 246

undecimal (11) 176

duodecimal (12) 150

tridecimal (13) 129

tetradecimal (14) 108

pentadecimal (15) d9

As an angle

204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): σδʹ
Mayan (base 20): 𝋪·𝋤
Chinese: 二百零四
Chinese (financial): 貳佰零肆

In other modern scripts

Eastern Arabic ٢٠٤ Devanagari २०४ Bengali ২০৪ Tamil ௨௦௪ Thai ๒๐๔ Tibetan ༢༠༤ Khmer ២០៤ Lao ໒໐໔ Burmese ၂၀၄

Digit at this position in famous constants

π — Pi (π): Digit 204 = 2
e — Euler's number (e): Digit 204 = 7
φ — Golden ratio (φ): Digit 204 = 7
√2 — Pythagoras's (√2): Digit 204 = 0
ln 2 — Natural log of 2: Digit 204 = 1
γ — Euler-Mascheroni (γ): Digit 204 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 204, here are decompositions:

5 + 199 = 204
7 + 197 = 204
11 + 193 = 204
13 + 191 = 204
23 + 181 = 204
31 + 173 = 204
37 + 167 = 204
41 + 163 = 204

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter I With Grave

U+00CC

Uppercase letter (Lu)

UTF-8 encoding: C3 8C (2 bytes).

Lookup U+00CC on Compart ↗ Lookup on FileFormat.Info ↗

HTTP status code

HTTP 204 No Content — Request succeeded, no body returned.

2xx class: Success.

Hex color

#0000CC

RGB(0, 0, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.204.

Address: 0.0.0.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.204

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

NANP area code 204

The number 204 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Manitoba
Country: Canada

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 204 ↗

Musical pitch

Heard as a frequency, 204 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯3 (207.7 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): G♯3 (203.2 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): A3 (207.5 Hz, -29¢)