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Number

1,384

1,384 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1384 AD

Calendar year

Year 1384 (MCCCLXXXIV) was a leap year starting on Friday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1384
Ended on
Friday
December 31, 1384
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1380s
1380–1389
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
642
642 years before 2026.

In other calendars

Hebrew
5144 / 5145 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
785 / 786 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1927 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
762 / 763 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1376 / 1377 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1306 / 1305 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
4,831
Recamán's sequence
a(8,360) = 1,384
Square (n²)
1,915,456
Cube (n³)
2,650,991,104
Divisor count
8
σ(n) — sum of divisors
2,610
φ(n) — Euler's totient
688
Sum of prime factors
179

Primality

Prime factorization: 2 3 × 173

Nearest primes: 1,381 (−3) · 1,399 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 173 · 346 · 692 (half) · 1384
Aliquot sum (sum of proper divisors): 1,226
Factor pairs (a × b = 1,384)
1 × 1384
2 × 692
4 × 346
8 × 173
First multiples
1,384 · 2,768 (double) · 4,152 · 5,536 · 6,920 · 8,304 · 9,688 · 11,072 · 12,456 · 13,840

Sums & aliquot sequence

As a sum of two squares: 22² + 30²
As consecutive integers: 79 + 80 + … + 94
Aliquot sequence: 1,384 1,226 616 824 736 776 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand three hundred eighty-four
Ordinal
1384th
Roman numeral
MCCCLXXXIV
Binary
10101101000
Octal
2550
Hexadecimal
0x568
Base64
BWg=
One's complement
64,151 (16-bit)
In other bases
ternary (3) 1220021
quaternary (4) 111220
quinary (5) 21014
senary (6) 10224
septenary (7) 4015
nonary (9) 1807
undecimal (11) 1049
duodecimal (12) 974
tridecimal (13) 826
tetradecimal (14) 70c
pentadecimal (15) 624

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατπδʹ
Mayan (base 20)
𝋣·𝋩·𝋤
Chinese
一千三百八十四
Chinese (financial)
壹仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٨٤ Devanagari १३८४ Bengali ১৩৮৪ Tamil ௧௩௮௪ Thai ๑๓๘๔ Tibetan ༡༣༨༤ Khmer ១៣៨៤ Lao ໑໓໘໔ Burmese ၁၃၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,384 = 4
e — Euler's number (e)
Digit 1,384 = 9
φ — Golden ratio (φ)
Digit 1,384 = 3
√2 — Pythagoras's (√2)
Digit 1,384 = 6
ln 2 — Natural log of 2
Digit 1,384 = 3
γ — Euler-Mascheroni (γ)
Digit 1,384 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1384, here are decompositions:

  • 3 + 1381 = 1384
  • 11 + 1373 = 1384
  • 17 + 1367 = 1384
  • 23 + 1361 = 1384
  • 83 + 1301 = 1384
  • 101 + 1283 = 1384
  • 107 + 1277 = 1384
  • 167 + 1217 = 1384

Showing the first eight; more decompositions exist.

Unicode codepoint
ը
Armenian Small Letter Et
U+0568
Lowercase letter (Ll)

UTF-8 encoding: D5 A8 (2 bytes).

Hex color
#000568
RGB(0, 5, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.104.

Address
0.0.5.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.104

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001384
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1384 first appears in π at position 381 of the decimal expansion (the 381ordinal-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.