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Number

2,053

2,053 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Year

Historical context — 2053 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
Wednesday
January 1, 2053
Ended on
Wednesday
December 31, 2053
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 6
Sunday, April 6, 2053
Decade
2050s
2050–2059
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
27
27 years after 2026.

In other calendars

Hebrew
5813 / 5814 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1475 / 1476 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2596 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1431 / 1432 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2045 / 2046 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1975 / 1974 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 35
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
3,502
Recamán's sequence
a(3,645) = 2,053
Square (n²)
4,214,809
Cube (n³)
8,653,002,877
Divisor count
2
σ(n) — sum of divisors
2,054
φ(n) — Euler's totient
2,052

Primality

2,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2053
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,053)
1 × 2053
First multiples
2,053 · 4,106 (double) · 6,159 · 8,212 · 10,265 · 12,318 · 14,371 · 16,424 · 18,477 · 20,530

Sums & aliquot sequence

As a sum of two squares: 17² + 42²
As consecutive integers: 1,026 + 1,027

Representations

In words
two thousand fifty-three
Ordinal
2053rd
Roman numeral
MMLIII
Binary
100000000101
Octal
4005
Hexadecimal
0x805
Base64
CAU=
One's complement
63,482 (16-bit)
In other bases
ternary (3) 2211001
quaternary (4) 200011
quinary (5) 31203
senary (6) 13301
septenary (7) 5662
nonary (9) 2731
undecimal (11) 15a7
duodecimal (12) 1231
tridecimal (13) c1c
tetradecimal (14) a69
pentadecimal (15) 91d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βνγʹ
Mayan (base 20)
𝋥·𝋢·𝋭
Chinese
二千零五十三
Chinese (financial)
貳仟零伍拾參
In other modern scripts
Eastern Arabic ٢٠٥٣ Devanagari २०५३ Bengali ২০৫৩ Tamil ௨௦௫௩ Thai ๒๐๕๓ Tibetan ༢༠༥༣ Khmer ២០៥៣ Lao ໒໐໕໓ Burmese ၂၀၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,053 = 6
e — Euler's number (e)
Digit 2,053 = 7
φ — Golden ratio (φ)
Digit 2,053 = 8
√2 — Pythagoras's (√2)
Digit 2,053 = 0
ln 2 — Natural log of 2
Digit 2,053 = 1
γ — Euler-Mascheroni (γ)
Digit 2,053 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,039 (gap of 14)
  • Next prime: 2,063 (gap of 10)
Unicode codepoint
Samaritan Letter Baa
U+0805
Other letter (Lo)

UTF-8 encoding: E0 A0 85 (3 bytes).

Hex color
#000805
RGB(0, 8, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.5.

Address
0.0.8.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.5

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
000002053
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 2053 first appears in π at position 3,329 of the decimal expansion (the 3,329ordinal-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.