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Number

2,048

2,048 is a composite number, even, a calendar year.

Deficient Number Odious Number Power of Two Powerful Number Practical Number Recamán's Sequence Year

Historical context — 2048 AD

Topics referred to by the same term

2048 may refer to:AD 2048, a year in the 2040s 2048 (number) 2048 , a puzzle game 2048: Nowhere to Run, a 2017 American science-fiction film

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
Wednesday
January 1, 2048
Ended on
Thursday
December 31, 2048
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 5
Sunday, April 5, 2048
Decade
2040s
2040–2049
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
22
22 years after 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes

In other calendars

Hebrew
5808 / 5809 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1470 / 1471 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2591 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1426 / 1427 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2040 / 2041 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1970 / 1969 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 30
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
8,402
Recamán's sequence
a(3,655) = 2,048
Square (n²)
4,194,304
Cube (n³)
8,589,934,592
Divisor count
12
σ(n) — sum of divisors
4,095
φ(n) — Euler's totient
1,024
Sum of prime factors
22

Primality

Prime factorization: 2 11

Nearest primes: 2,039 (−9) · 2,053 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 (half) · 2048
Aliquot sum (sum of proper divisors): 2,047
Factor pairs (a × b = 2,048)
1 × 2048
2 × 1024
4 × 512
8 × 256
16 × 128
32 × 64
First multiples
2,048 · 4,096 (double) · 6,144 · 8,192 · 10,240 · 12,288 · 14,336 · 16,384 · 18,432 · 20,480

Sums & aliquot sequence

As a sum of two squares: 32² + 32²
Aliquot sequence: 2,048 2,047 113 1 0 — terminates at zero

Representations

In words
two thousand forty-eight
Ordinal
2048th
Roman numeral
MMXLVIII
Binary
100000000000
Octal
4000
Hexadecimal
0x800
Base64
CAA=
One's complement
63,487 (16-bit)
In other bases
ternary (3) 2210212
quaternary (4) 200000
quinary (5) 31143
senary (6) 13252
septenary (7) 5654
nonary (9) 2725
undecimal (11) 15a2
duodecimal (12) 1228
tridecimal (13) c17
tetradecimal (14) a64
pentadecimal (15) 918

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βμηʹ
Mayan (base 20)
𝋥·𝋢·𝋨
Chinese
二千零四十八
Chinese (financial)
貳仟零肆拾捌
In other modern scripts
Eastern Arabic ٢٠٤٨ Devanagari २०४८ Bengali ২০৪৮ Tamil ௨௦௪௮ Thai ๒๐๔๘ Tibetan ༢༠༤༨ Khmer ២០៤៨ Lao ໒໐໔໘ Burmese ၂၀၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,048 = 4
e — Euler's number (e)
Digit 2,048 = 3
φ — Golden ratio (φ)
Digit 2,048 = 6
√2 — Pythagoras's (√2)
Digit 2,048 = 7
ln 2 — Natural log of 2
Digit 2,048 = 1
γ — Euler-Mascheroni (γ)
Digit 2,048 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2048, here are decompositions:

  • 19 + 2029 = 2048
  • 31 + 2017 = 2048
  • 37 + 2011 = 2048
  • 61 + 1987 = 2048
  • 97 + 1951 = 2048
  • 181 + 1867 = 2048
  • 271 + 1777 = 2048
  • 307 + 1741 = 2048

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Letter Alaf
U+0800
Other letter (Lo)

UTF-8 encoding: E0 A0 80 (3 bytes).

Hex color
#000800
RGB(0, 8, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.0.

Address
0.0.8.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.0

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

Position in π

The digit sequence 2048 first appears in π at position 26,862 of the decimal expansion (the 26,862ordinal-suffix:nd 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.