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Number

2,046

2,046 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 2046 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.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
Monday
January 1, 2046
Ended on
Monday
December 31, 2046
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 25
Sunday, March 25, 2046
Decade
2040s
2040–2049
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
20
20 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
5806 / 5807 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1468 / 1469 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2589 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1424 / 1425 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2038 / 2039 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1968 / 1967 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 28
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
6,402
Recamán's sequence
a(3,659) = 2,046
Square (n²)
4,186,116
Cube (n³)
8,564,793,336
Divisor count
16
σ(n) — sum of divisors
4,608
φ(n) — Euler's totient
600
Sum of prime factors
47

Primality

Prime factorization: 2 × 3 × 11 × 31

Nearest primes: 2,039 (−7) · 2,053 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 31 · 33 · 62 · 66 · 93 · 186 · 341 · 682 · 1023 (half) · 2046
Aliquot sum (sum of proper divisors): 2,562
Factor pairs (a × b = 2,046)
1 × 2046
2 × 1023
3 × 682
6 × 341
11 × 186
22 × 93
31 × 66
33 × 62
First multiples
2,046 · 4,092 (double) · 6,138 · 8,184 · 10,230 · 12,276 · 14,322 · 16,368 · 18,414 · 20,460

Sums & aliquot sequence

As consecutive integers: 681 + 682 + 683 510 + 511 + 512 + 513 181 + 182 + … + 191 165 + 166 + … + 176
Aliquot sequence: 2,046 2,562 3,390 4,818 5,838 7,602 9,870 17,778 17,790 24,978 27,438 30,882 30,894 34,386 40,782 52,530 82,254 — unresolved within range

Representations

In words
two thousand forty-six
Ordinal
2046th
Roman numeral
MMXLVI
Binary
11111111110
Octal
3776
Hexadecimal
0x7FE
Base64
B/4=
One's complement
63,489 (16-bit)
In other bases
ternary (3) 2210210
quaternary (4) 133332
quinary (5) 31141
senary (6) 13250
septenary (7) 5652
nonary (9) 2723
undecimal (11) 15a0
duodecimal (12) 1226
tridecimal (13) c15
tetradecimal (14) a62
pentadecimal (15) 916

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βμϛʹ
Mayan (base 20)
𝋥·𝋢·𝋦
Chinese
二千零四十六
Chinese (financial)
貳仟零肆拾陸
In other modern scripts
Eastern Arabic ٢٠٤٦ Devanagari २०४६ Bengali ২০৪৬ Tamil ௨௦௪௬ Thai ๒๐๔๖ Tibetan ༢༠༤༦ Khmer ២០៤៦ Lao ໒໐໔໖ Burmese ၂၀၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 2,046 = 8
e — Euler's number (e)
Digit 2,046 = 7
φ — Golden ratio (φ)
Digit 2,046 = 4
√2 — Pythagoras's (√2)
Digit 2,046 = 5
ln 2 — Natural log of 2
Digit 2,046 = 7
γ — Euler-Mascheroni (γ)
Digit 2,046 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2046, here are decompositions:

  • 7 + 2039 = 2046
  • 17 + 2029 = 2046
  • 19 + 2027 = 2046
  • 29 + 2017 = 2046
  • 43 + 2003 = 2046
  • 47 + 1999 = 2046
  • 53 + 1993 = 2046
  • 59 + 1987 = 2046

Showing the first eight; more decompositions exist.

Unicode codepoint
߾
Nko Dorome Sign
U+07FE
Currency symbol (Sc)

UTF-8 encoding: DF BE (2 bytes).

Hex color
#0007FE
RGB(0, 7, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.254.

Address
0.0.7.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.254

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

Position in π

The digit sequence 2046 first appears in π at position 374 of the decimal expansion (the 374ordinal-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.