Number

1,104

1,104 is a composite number, even, a calendar year.

1,104 (one thousand one hundred four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 23. Its proper divisors sum to 1,872, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCIV and in binary, 10001010000.

Abundant Number Harshad / Niven Keith Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,092 1,093 1,094 1,095 1,096 1,097 1,098 1,099 1,100 1,101 1,102 1,103 1,104 1,105 1,106 1,107 1,108 1,109 1,110 1,111 1,112 1,113 1,114 1,115 1,116

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Historical context — 1104 AD

Calendar year

Year 1104 (MCIV) was a leap year starting on Friday of the Julian 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: Friday
January 1, 1104
Ended on: Saturday
December 31, 1104
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1100s
1100–1109
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 922
922 years before 2026.

In other calendars

Hebrew: 4864 / 4865 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 497 / 498 AH
Lunar calendar; year spans differ from Gregorian.
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: 1647 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 482 / 483 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1096 / 1097 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1026 / 1025 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 4,011
Recamán's sequence: a(1,964) = 1,104
Square (n²): 1,218,816
Cube (n³): 1,345,572,864
Divisor count: 20
σ(n) — sum of divisors: 2,976
φ(n) — Euler's totient: 352
Sum of prime factors: 34

Primality

Prime factorization: 2 ⁴ × 3 × 23

Nearest primes: 1,103 (−1) · 1,109 (+5)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 46 · 48 · 69 · 92 · 138 · 184 · 276 · 368 · 552 (half) · 1104

Aliquot sum (sum of proper divisors): 1,872

Factor pairs (a × b = 1,104)

1 × 1104

2 × 552

3 × 368

4 × 276

6 × 184

8 × 138

12 × 92

16 × 69

23 × 48

24 × 46

First multiples

1,104 · 2,208 (double) · 3,312 · 4,416 · 5,520 · 6,624 · 7,728 · 8,832 · 9,936 · 11,040

Sums & aliquot sequence

As consecutive integers: 367 + 368 + 369 37 + 38 + … + 59 19 + 20 + … + 50

Aliquot sequence: 1,104 → 1,872 → 3,770 → 3,790 → 3,050 → 2,716 → 2,772 → 5,964 → 10,164 → 19,628 → 19,684 → 22,876 → 26,404 → 30,044 → 33,796 → 38,780 → 54,628 — unresolved within range

Continued fraction of √n

√1,104 = [33; (4, 2, 2, 2, 4, 66)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred four
Ordinal: 1104th
Roman numeral: MCIV
Binary: 10001010000
Octal: 2120
Hexadecimal: 0x450
Base64: BFA=
One's complement: 64,431 (16-bit)
Scientific notation: 1.104 × 10³
As a duration: 1,104 s = 18 minutes, 24 seconds

In other bases

ternary (3) 1111220

quaternary (4) 101100

quinary (5) 13404

senary (6) 5040

septenary (7) 3135

nonary (9) 1456

undecimal (11) 914

duodecimal (12) 780

tridecimal (13) 66c

tetradecimal (14) 58c

pentadecimal (15) 4d9

As an angle

1,104° = 3 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρδʹ
Mayan (base 20): 𝋢·𝋯·𝋤
Chinese: 一千一百零四
Chinese (financial): 壹仟壹佰零肆

In other modern scripts

Eastern Arabic ١١٠٤ Devanagari ११०४ Bengali ১১০৪ Tamil ௧௧௦௪ Thai ๑๑๐๔ Tibetan ༡༡༠༤ Khmer ១១០៤ Lao ໑໑໐໔ Burmese ၁၁၀၄

Digit at this position in famous constants

π — Pi (π): Digit 1,104 = 7
e — Euler's number (e): Digit 1,104 = 9
φ — Golden ratio (φ): Digit 1,104 = 3
√2 — Pythagoras's (√2): Digit 1,104 = 4
ln 2 — Natural log of 2: Digit 1,104 = 2
γ — Euler-Mascheroni (γ): Digit 1,104 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1104, here are decompositions:

7 + 1097 = 1104
11 + 1093 = 1104
13 + 1091 = 1104
17 + 1087 = 1104
41 + 1063 = 1104
43 + 1061 = 1104
53 + 1051 = 1104
71 + 1033 = 1104

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Small Letter Ie With Grave

U+0450

Lowercase letter (Ll)

UTF-8 encoding: D1 90 (2 bytes).

Lookup U+0450 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000450

RGB(0, 4, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.80.

Address: 0.0.4.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.80

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

Musical pitch

Heard as a frequency, 1,104 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -7¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -6¢)

Position in π

The digit sequence 1104 first appears in π at position 23,841 of the decimal expansion (the 23,841ordinal-suffix:st 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 1104 on Pi Search ↗