Number

1,284

1,284 is a composite number, even, a calendar year.

1,284 (one thousand two hundred eighty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 107. Its proper divisors sum to 1,740, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCLXXXIV and in binary, 10100000100.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Smith Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,272 1,273 1,274 1,275 1,276 1,277 1,278 1,279 1,280 1,281 1,282 1,283 1,284 1,285 1,286 1,287 1,288 1,289 1,290 1,291 1,292 1,293 1,294 1,295 1,296

less more

Historical context — 1284 AD

Calendar year

Year 1284 (MCCLXXXIV) was a leap year starting on Saturday 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: Saturday
January 1, 1284
Ended on: Sunday
December 31, 1284
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1280s
1280–1289
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 742
742 years before 2026.

In other calendars

Hebrew: 5044 / 5045 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 682 / 683 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: 1827 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 662 / 663 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1276 / 1277 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1206 / 1205 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 64
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 4,821
Recamán's sequence: a(30,480) = 1,284
Square (n²): 1,648,656
Cube (n³): 2,116,874,304
Divisor count: 12
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 424
Sum of prime factors: 114

Primality

Prime factorization: 2 ² × 3 × 107

Nearest primes: 1,283 (−1) · 1,289 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 107 · 214 · 321 · 428 · 642 (half) · 1284

Aliquot sum (sum of proper divisors): 1,740

Factor pairs (a × b = 1,284)

1 × 1284

2 × 642

3 × 428

4 × 321

6 × 214

12 × 107

First multiples

1,284 · 2,568 (double) · 3,852 · 5,136 · 6,420 · 7,704 · 8,988 · 10,272 · 11,556 · 12,840

Sums & aliquot sequence

As consecutive integers: 427 + 428 + 429 157 + 158 + … + 164 42 + 43 + … + 65

Aliquot sequence: 1,284 → 1,740 → 3,300 → 7,116 → 9,516 → 14,788 → 11,098 → 6,182 → 3,970 → 3,194 → 1,600 → 2,337 → 1,023 → 513 → 287 → 49 → 8 — unresolved within range

Continued fraction of √n

√1,284 = [35; (1, 4, 1, 70)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred eighty-four
Ordinal: 1284th
Roman numeral: MCCLXXXIV
Binary: 10100000100
Octal: 2404
Hexadecimal: 0x504
Base64: BQQ=
One's complement: 64,251 (16-bit)
Scientific notation: 1.284 × 10³
As a duration: 1,284 s = 21 minutes, 24 seconds

In other bases

ternary (3) 1202120

quaternary (4) 110010

quinary (5) 20114

senary (6) 5540

septenary (7) 3513

nonary (9) 1676

undecimal (11) a68

duodecimal (12) 8b0

tridecimal (13) 77a

tetradecimal (14) 67a

pentadecimal (15) 5a9

As an angle

1,284° = 3 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ασπδʹ
Mayan (base 20): 𝋣·𝋤·𝋤
Chinese: 一千二百八十四
Chinese (financial): 壹仟貳佰捌拾肆

In other modern scripts

Eastern Arabic ١٢٨٤ Devanagari १२८४ Bengali ১২৮৪ Tamil ௧௨௮௪ Thai ๑๒๘๔ Tibetan ༡༢༨༤ Khmer ១២៨៤ Lao ໑໒໘໔ Burmese ၁၂၈၄

Digit at this position in famous constants

π — Pi (π): Digit 1,284 = 0
e — Euler's number (e): Digit 1,284 = 3
φ — Golden ratio (φ): Digit 1,284 = 3
√2 — Pythagoras's (√2): Digit 1,284 = 4
ln 2 — Natural log of 2: Digit 1,284 = 5
γ — Euler-Mascheroni (γ): Digit 1,284 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1284, here are decompositions:

5 + 1279 = 1284
7 + 1277 = 1284
47 + 1237 = 1284
53 + 1231 = 1284
61 + 1223 = 1284
67 + 1217 = 1284
71 + 1213 = 1284
83 + 1201 = 1284

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Komi Zje

U+0504

Uppercase letter (Lu)

UTF-8 encoding: D4 84 (2 bytes).

Lookup U+0504 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000504

RGB(0, 5, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.4.

Address: 0.0.5.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.4

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

Musical pitch

Heard as a frequency, 1,284 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -46¢ — about midway to D♯6)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -45¢ — about midway to E6)

Position in π

The digit sequence 1284 first appears in π at position 148 of the decimal expansion (the 148ordinal-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 1284 on Pi Search ↗