2,042
2,042 is a composite number, even, a calendar year.
Historical context — 2042 AD
Current millennium spanning the years 2001 to 3000
The third millennium of the Anno Domini or Common Era is the current millennium spanning the years 2001 to 3000.
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Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Wednesday
January 1, 2042
- Ended on
-
Wednesday
December 31, 2042
- Friday the 13ths
-
1
One Friday the 13th this year.
- Easter Sunday
-
April 6
Sunday, April 6, 2042
- Decade
-
2040s
2040–2049
- Century
-
21st century
2001–2100
- Millennium
-
3rd millennium
2001–3000
- Years until
-
16
16 years after 2026.
- FIFA World Cup
-
Yes
Men's FIFA World Cup is held every four years (skipped 1942 and 1946 due to WWII).
- Winter Olympics
-
Yes
Held in even years between Summer Games (2002, 2006, ...).
In other calendars
- Hebrew
-
5802 / 5803 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1464 / 1465 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2585 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1420 / 1421 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
2034 / 2035 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1964 / 1963 Saka
Indian national calendar; year starts in March.
- Japanese
-
Reiwa 24
Reign-era counting from the start of each emperor's reign.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 2,402
- Recamán's sequence
- a(3,667) = 2,042
- Square (n²)
- 4,169,764
- Cube (n³)
- 8,514,658,088
- Divisor count
- 4
- σ(n) — sum of divisors
- 3,066
- φ(n) — Euler's totient
- 1,020
- Sum of prime factors
- 1,023
Primality
Prime factorization: 2 × 1021
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- two thousand forty-two
- Ordinal
- 2042nd
- Roman numeral
- MMXLII
- Binary
- 11111111010
- Octal
- 3772
- Hexadecimal
- 0x7FA
- Base64
- B/o=
- One's complement
- 63,493 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βμβʹ
- Mayan (base 20)
- 𝋥·𝋢·𝋢
- Chinese
- 二千零四十二
- Chinese (financial)
- 貳仟零肆拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,042 = 5
- e — Euler's number (e)
- Digit 2,042 = 9
- φ — Golden ratio (φ)
- Digit 2,042 = 9
- √2 — Pythagoras's (√2)
- Digit 2,042 = 1
- ln 2 — Natural log of 2
- Digit 2,042 = 8
- γ — Euler-Mascheroni (γ)
- Digit 2,042 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2042, here are decompositions:
- 3 + 2039 = 2042
- 13 + 2029 = 2042
- 31 + 2011 = 2042
- 43 + 1999 = 2042
- 109 + 1933 = 2042
- 163 + 1879 = 2042
- 181 + 1861 = 2042
- 211 + 1831 = 2042
Showing the first eight; more decompositions exist.
UTF-8 encoding: DF BA (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.250.
- Address
- 0.0.7.250
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.7.250
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 2042 first appears in π at position 5,954 of the decimal expansion (the 5,954ordinal-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.