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Number

2,052

2,052 is a composite number, even, a calendar year.

Abundant Number Evil Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 2052 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 2052
Ended on
Tuesday
December 31, 2052
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 21
Sunday, April 21, 2052
Decade
2050s
2050–2059
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
26
26 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
5812 / 5813 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1474 / 1475 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2595 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1430 / 1431 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2044 / 2045 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1974 / 1973 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 34
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
2,502
Recamán's sequence
a(3,647) = 2,052
Square (n²)
4,210,704
Cube (n³)
8,640,364,608
Divisor count
24
σ(n) — sum of divisors
5,600
φ(n) — Euler's totient
648
Sum of prime factors
32

Primality

Prime factorization: 2 2 × 3 3 × 19

Nearest primes: 2,039 (−13) · 2,053 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 27 · 36 · 38 · 54 · 57 · 76 · 108 · 114 · 171 · 228 · 342 · 513 · 684 · 1026 (half) · 2052
Aliquot sum (sum of proper divisors): 3,548
Factor pairs (a × b = 2,052)
1 × 2052
2 × 1026
3 × 684
4 × 513
6 × 342
9 × 228
12 × 171
18 × 114
19 × 108
27 × 76
36 × 57
38 × 54
First multiples
2,052 · 4,104 (double) · 6,156 · 8,208 · 10,260 · 12,312 · 14,364 · 16,416 · 18,468 · 20,520

Sums & aliquot sequence

As consecutive integers: 683 + 684 + 685 253 + 254 + … + 260 224 + 225 + … + 232 99 + 100 + … + 117
Aliquot sequence: 2,052 3,548 2,668 2,372 1,786 1,094 550 566 286 218 112 136 134 70 74 40 50 — unresolved within range

Representations

In words
two thousand fifty-two
Ordinal
2052nd
Roman numeral
MMLII
Binary
100000000100
Octal
4004
Hexadecimal
0x804
Base64
CAQ=
One's complement
63,483 (16-bit)
In other bases
ternary (3) 2211000
quaternary (4) 200010
quinary (5) 31202
senary (6) 13300
septenary (7) 5661
nonary (9) 2730
undecimal (11) 15a6
duodecimal (12) 1230
tridecimal (13) c1b
tetradecimal (14) a68
pentadecimal (15) 91c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵βνβʹ
Mayan (base 20)
𝋥·𝋢·𝋬
Chinese
二千零五十二
Chinese (financial)
貳仟零伍拾貳
In other modern scripts
Eastern Arabic ٢٠٥٢ Devanagari २०५२ Bengali ২০৫২ Tamil ௨௦௫௨ Thai ๒๐๕๒ Tibetan ༢༠༥༢ Khmer ២០៥២ Lao ໒໐໕໒ Burmese ၂၀၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 2,052 = 2
e — Euler's number (e)
Digit 2,052 = 4
φ — Golden ratio (φ)
Digit 2,052 = 1
√2 — Pythagoras's (√2)
Digit 2,052 = 6
ln 2 — Natural log of 2
Digit 2,052 = 0
γ — Euler-Mascheroni (γ)
Digit 2,052 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2052, here are decompositions:

  • 13 + 2039 = 2052
  • 23 + 2029 = 2052
  • 41 + 2011 = 2052
  • 53 + 1999 = 2052
  • 59 + 1993 = 2052
  • 73 + 1979 = 2052
  • 79 + 1973 = 2052
  • 101 + 1951 = 2052

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Letter Iy
U+0804
Other letter (Lo)

UTF-8 encoding: E0 A0 84 (3 bytes).

Hex color
#000804
RGB(0, 8, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.4.

Address
0.0.8.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.4

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

Position in π

The digit sequence 2052 first appears in π at position 2,039 of the decimal expansion (the 2,039ordinal-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.