Number

2,053

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

2,053 (two thousand fifty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMLIII and in binary, 100000000101.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Star Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

2,041 2,042 2,043 2,044 2,045 2,046 2,047 2,048 2,049 2,050 2,051 2,052 2,053 2,054 2,055 2,056 2,057 2,058 2,059 2,060 2,061 2,062 2,063 2,064 2,065

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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 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

Continued fraction of √n

√2,053 = [45; (3, 4, 2, 3, 2, 29, 1, 3, 2, 1, 6, 1, 6, 9, 1, 12, 22, 1, 1, 2, 1, 2, 1, 1, …)]

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)
Scientific notation: 2.053 × 10³
As a duration: 2,053 s = 34 minutes, 13 seconds

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

Palindromic in base 13

As an angle

2,053° = 5 × 360° + 253°

253° ≈ 4.416 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

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

ࠅ

Samaritan Letter Baa

U+0805

Other letter (Lo)

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

Lookup U+0805 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 2,053 Hz is closest to:

Concert pitch (A4 = 440 Hz): C7 (2093 Hz, -33¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, +4¢)
Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, -32¢)

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.

Look up 2053 on Pi Search ↗