984
984 is a composite number, even, a calendar year.
984 (nine hundred eighty-four) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 41. Its proper divisors sum to 1,536, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMLXXXIV and in binary, 1111011000.
Interestingness
Historical context — 984 AD
Calendar year
Year 984 (CMLXXXIV) was a leap year starting on Tuesday of the Julian calendar.
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Historical context — 984 BC
Decade
The 980s BC is a decade that lasted from 989 BC to 980 BC.
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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, 984
- Ended on
-
Friday
December 31, 984
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
980s
980–989
- Century
-
10th century
901–1000
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,042
1042 years before 2026.
In other calendars
- Hebrew
-
4744 / 4745 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
373 / 374 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
-
1527 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
362 / 363 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
976 / 977 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
906 / 905 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 3 × 3 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√984 = [31; (2, 1, 2, 2, 7, 2, 2, 1, 2, 62)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-four
- Ordinal
- 984th
- Roman numeral
- CMLXXXIV
- Binary
- 1111011000
- Octal
- 1730
- Hexadecimal
- 0x3D8
- Base64
- A9g=
- One's complement
- 64,551 (16-bit)
- Scientific notation
- 9.84 × 10²
- As a duration
- 984 s = 16 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ϡπδʹ
- Mayan (base 20)
- 𝋢·𝋩·𝋤
- Chinese
- 九百八十四
- Chinese (financial)
- 玖佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 984 = 1
- e — Euler's number (e)
- Digit 984 = 6
- φ — Golden ratio (φ)
- Digit 984 = 7
- √2 — Pythagoras's (√2)
- Digit 984 = 1
- ln 2 — Natural log of 2
- Digit 984 = 8
- γ — Euler-Mascheroni (γ)
- Digit 984 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 984, here are decompositions:
- 7 + 977 = 984
- 13 + 971 = 984
- 17 + 967 = 984
- 31 + 953 = 984
- 37 + 947 = 984
- 43 + 941 = 984
- 47 + 937 = 984
- 73 + 911 = 984
Showing the first eight; more decompositions exist.
UTF-8 encoding: CF 98 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.216.
- Address
- 0.0.3.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.216
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 984 is an active NANP area code (North American Numbering Plan).
- Primary area
- Raleigh
- Region
- North Carolina
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 984 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -7¢)
- Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +31¢)
- Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -5¢)
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.