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Number

284

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

284 (two hundred eighty-four) is an even 3-digit number. It is a composite number with 6 divisors, and factors as 2² × 71. Written other ways, in Roman numerals it is CCLXXXIV and in binary, 100011100.

Amicable Number Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Year

Interestingness

4 notable facts · grade D
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Historical context — 284 AD

Calendar year

Year 284 (CCLXXXIV) was a leap year starting on Tuesday of the Julian calendar.

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

Historical context — 284 BC

Calendar year

Year 284 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
Tuesday
January 1, 284
Ended on
Wednesday
December 31, 284
Friday the 13ths
1
One Friday the 13th this year.
Decade
280s
280–289
Century
3rd century
201–300
Millennium
1st millennium
1–1000
Years ago
1,742
1742 years before 2026.

In other calendars

Hebrew
4044 / 4045 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
827 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
276 / 277 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
206 / 205 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
64
Digital root
5
Palindrome
No
Bit width
9 bits
Reversed
482
Recamán's sequence
a(167) = 284
Square (n²)
80,656
Cube (n³)
22,906,304
Divisor count
6
σ(n) — sum of divisors
504
φ(n) — Euler's totient
140
Sum of prime factors
75

Primality

Prime factorization: 2 2 × 71

Nearest primes: 283 (−1) · 293 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 71 · 142 (half) · 284
Aliquot sum (sum of proper divisors): 220
Factor pairs (a × b = 284)
1 × 284
2 × 142
4 × 71
First multiples
284 · 568 (double) · 852 · 1,136 · 1,420 · 1,704 · 1,988 · 2,272 · 2,556 · 2,840

Sums & aliquot sequence

As consecutive integers: 32 + 33 + … + 39
Aliquot sequence: 284 220 284 — enters a cycle

Continued fraction of √n

√284 = [16; (1, 5, 1, 3, 2, 1, 4, 8, 4, 1, 2, 3, 1, 5, 1, 32)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
two hundred eighty-four
Ordinal
284th
Roman numeral
CCLXXXIV
Binary
100011100
Octal
434
Hexadecimal
0x11C
Base64
ARw=
One's complement
65,251 (16-bit)
Scientific notation
2.84 × 10²
As a duration
284 s = 4 minutes, 44 seconds
In other bases
ternary (3) 101112
quaternary (4) 10130
quinary (5) 2114
senary (6) 1152
septenary (7) 554
nonary (9) 345
undecimal (11) 239
duodecimal (12) 1b8
tridecimal (13) 18b
tetradecimal (14) 164
pentadecimal (15) 13e
Palindromic in base 8

As an angle

284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
σπδʹ
Mayan (base 20)
𝋮·𝋤
Chinese
二百八十四
Chinese (financial)
貳佰捌拾肆
In other modern scripts
Eastern Arabic ٢٨٤ Devanagari २८४ Bengali ২৮৪ Tamil ௨௮௪ Thai ๒๘๔ Tibetan ༢༨༤ Khmer ២៨៤ Lao ໒໘໔ Burmese ၂၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 284 = 3
e — Euler's number (e)
Digit 284 = 1
φ — Golden ratio (φ)
Digit 284 = 4
√2 — Pythagoras's (√2)
Digit 284 = 6
ln 2 — Natural log of 2
Digit 284 = 2
γ — Euler-Mascheroni (γ)
Digit 284 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 284, here are decompositions:

  • 3 + 281 = 284
  • 7 + 277 = 284
  • 13 + 271 = 284
  • 43 + 241 = 284
  • 61 + 223 = 284
  • 73 + 211 = 284
  • 103 + 181 = 284
  • 127 + 157 = 284

Showing the first eight; more decompositions exist.

Unicode codepoint
Ĝ
Latin Capital Letter G With Circumflex
U+011C
Uppercase letter (Lu)

UTF-8 encoding: C4 9C (2 bytes).

Hex color
#00011C
RGB(0, 1, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.28.

Address
0.0.1.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.28

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

NANP area code 284

The number 284 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
British Virgin Islands
Country
British Virgin Islands

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

Musical pitch

Heard as a frequency, 284 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯4 (277.2 Hz, +42¢)
  • Scientific pitch (C4 = 256 Hz): D4 (287.4 Hz, -20¢)
  • Baroque pitch (A4 = 415 Hz): D4 (277 Hz, +43¢)

Related reading

  • Amicable numbers — Pairs of numbers, each the sum of the other's divisors — a Pythagorean symbol of friendship.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.