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Number

1,284

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

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Smith Number Year

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 · English fallback 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

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)
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

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
Ԅ
Cyrillic Capital Letter Komi Zje
U+0504
Uppercase letter (Lu)

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

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.

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.