1,052
1,052 is a composite number, even, a calendar year.
1,052 (one thousand fifty-two) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 263. Written other ways, in Roman numerals it is MLII and in binary, 10000011100.
Interestingness
Historical context — 1052 AD
Calendar year
Year 1052 (MLII) was a leap year starting on Wednesday of the Julian calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Thursday
January 1, 1052
- Ended on
-
Friday
December 31, 1052
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1050s
1050–1059
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
974
974 years before 2026.
In other calendars
- Hebrew
-
4812 / 4813 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
443 / 444 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1595 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
430 / 431 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1044 / 1045 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
974 / 973 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 263
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,052 = [32; (2, 3, 3, 7, 1, 4, 9, 16, 9, 4, 1, 7, 3, 3, 2, 64)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one thousand fifty-two
- Ordinal
- 1052nd
- Roman numeral
- MLII
- Binary
- 10000011100
- Octal
- 2034
- Hexadecimal
- 0x41C
- Base64
- BBw=
- One's complement
- 64,483 (16-bit)
- Scientific notation
- 1.052 × 10³
- As a duration
- 1,052 s = 17 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ανβʹ
- Mayan (base 20)
- 𝋢·𝋬·𝋬
- Chinese
- 一千零五十二
- Chinese (financial)
- 壹仟零伍拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,052 = 0
- e — Euler's number (e)
- Digit 1,052 = 7
- φ — Golden ratio (φ)
- Digit 1,052 = 5
- √2 — Pythagoras's (√2)
- Digit 1,052 = 7
- ln 2 — Natural log of 2
- Digit 1,052 = 9
- γ — Euler-Mascheroni (γ)
- Digit 1,052 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052, here are decompositions:
- 3 + 1049 = 1052
- 13 + 1039 = 1052
- 19 + 1033 = 1052
- 31 + 1021 = 1052
- 43 + 1009 = 1052
- 61 + 991 = 1052
- 193 + 859 = 1052
- 199 + 853 = 1052
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 9C (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.28.
- Address
- 0.0.4.28
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.28
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,052 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +9¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +47¢ — about midway to C♯6)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +10¢)
The digit sequence 1052 first appears in π at position 3,982 of the decimal expansion (the 3,982ordinal-suffix:nd 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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.