Number

1,204

1,204 is a composite number, even, a calendar year.

1,204 (one thousand two hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 43. Its proper divisors sum to 1,260, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCIV and in binary, 10010110100.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,192 1,193 1,194 1,195 1,196 1,197 1,198 1,199 1,200 1,201 1,202 1,203 1,204 1,205 1,206 1,207 1,208 1,209 1,210 1,211 1,212 1,213 1,214 1,215 1,216

less more

Notable events — 1204 AD

Apr 12 The Fourth Crusade sacks Constantinople.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1204
Ended on: Friday
December 31, 1204
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1200s
1200–1209
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 822
822 years before 2026.

In other calendars

Hebrew: 4964 / 4965 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 600 / 601 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: 1747 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 582 / 583 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1196 / 1197 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1126 / 1125 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 4,021
Recamán's sequence: a(8,580) = 1,204
Square (n²): 1,449,616
Cube (n³): 1,745,337,664
Divisor count: 12
σ(n) — sum of divisors: 2,464
φ(n) — Euler's totient: 504
Sum of prime factors: 54

Primality

Prime factorization: 2 ² × 7 × 43

Nearest primes: 1,201 (−3) · 1,213 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 43 · 86 · 172 · 301 · 602 (half) · 1204

Aliquot sum (sum of proper divisors): 1,260

Factor pairs (a × b = 1,204)

1 × 1204

2 × 602

4 × 301

7 × 172

14 × 86

28 × 43

First multiples

1,204 · 2,408 (double) · 3,612 · 4,816 · 6,020 · 7,224 · 8,428 · 9,632 · 10,836 · 12,040

Sums & aliquot sequence

As consecutive integers: 169 + 170 + … + 175 147 + 148 + … + 154 7 + 8 + … + 49

Aliquot sequence: 1,204 → 1,260 → 3,108 → 5,404 → 5,460 → 13,356 → 25,956 → 49,756 → 49,812 → 83,244 → 138,964 → 144,326 → 127,978 → 67,322 → 36,250 → 34,040 → 48,040 — unresolved within range

Continued fraction of √n

√1,204 = [34; (1, 2, 3, 7, 2, 2, 3, 4, 22, 1, 8, 1, 22, 4, 3, 2, 2, 7, 3, 2, 1, 68)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred four
Ordinal: 1204th
Roman numeral: MCCIV
Binary: 10010110100
Octal: 2264
Hexadecimal: 0x4B4
Base64: BLQ=
One's complement: 64,331 (16-bit)
Scientific notation: 1.204 × 10³
As a duration: 1,204 s = 20 minutes, 4 seconds

In other bases

ternary (3) 1122121

quaternary (4) 102310

quinary (5) 14304

senary (6) 5324

septenary (7) 3340

nonary (9) 1577

undecimal (11) 9a5

duodecimal (12) 844

tridecimal (13) 718

tetradecimal (14) 620

pentadecimal (15) 554

Palindromic in base 16

As an angle

1,204° = 3 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ασδʹ
Mayan (base 20): 𝋣·𝋠·𝋤
Chinese: 一千二百零四
Chinese (financial): 壹仟貳佰零肆

In other modern scripts

Eastern Arabic ١٢٠٤ Devanagari १२०४ Bengali ১২০৪ Tamil ௧௨௦௪ Thai ๑๒๐๔ Tibetan ༡༢༠༤ Khmer ១២០៤ Lao ໑໒໐໔ Burmese ၁၂၀၄

Digit at this position in famous constants

π — Pi (π): Digit 1,204 = 8
e — Euler's number (e): Digit 1,204 = 4
φ — Golden ratio (φ): Digit 1,204 = 4
√2 — Pythagoras's (√2): Digit 1,204 = 6
ln 2 — Natural log of 2: Digit 1,204 = 4
γ — Euler-Mascheroni (γ): Digit 1,204 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1204, here are decompositions:

3 + 1201 = 1204
11 + 1193 = 1204
17 + 1187 = 1204
23 + 1181 = 1204
41 + 1163 = 1204
53 + 1151 = 1204
101 + 1103 = 1204
107 + 1097 = 1204

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Ligature Te Tse

U+04B4

Uppercase letter (Lu)

UTF-8 encoding: D2 B4 (2 bytes).

Lookup U+04B4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004B4

RGB(0, 4, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.180.

Address: 0.0.4.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.180

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

Musical pitch

Heard as a frequency, 1,204 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +43¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, -20¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +44¢)

Position in π

The digit sequence 1204 first appears in π at position 11,884 of the decimal expansion (the 11,884ordinal-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 1204 on Pi Search ↗