1,057
1,057 is a composite number, odd, a calendar year.
1,057 (one thousand fifty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 7 × 151. Written other ways, in Roman numerals it is MLVII and in binary, 10000100001.
Interestingness
Historical context — 1057 AD
Calendar year
Year 1057 (MLVII) was a common year starting on Wednesday of the Julian calendar.
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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
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Thursday
January 1, 1057
- Ended on
-
Thursday
December 31, 1057
- Friday the 13ths
-
3
3 Friday the 13ths this year.
- Decade
-
1050s
1050–1059
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
969
969 years before 2026.
In other calendars
- Hebrew
-
4817 / 4818 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
448 / 449 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Rooster
Sexagenary cycle position 34 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1600 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
435 / 436 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1049 / 1050 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
979 / 978 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 7 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,057 = [32; (1, 1, 21, 5, 1, 6, 2, 1, 1, 3, 2, 7, 1, 2, 4, 1, 1, 1, 8, 1, 1, 1, 4, 2, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one thousand fifty-seven
- Ordinal
- 1057th
- Roman numeral
- MLVII
- Binary
- 10000100001
- Octal
- 2041
- Hexadecimal
- 0x421
- Base64
- BCE=
- One's complement
- 64,478 (16-bit)
- Scientific notation
- 1.057 × 10³
- As a duration
- 1,057 s = 17 minutes, 37 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ανζʹ
- Mayan (base 20)
- 𝋢·𝋬·𝋱
- Chinese
- 一千零五十七
- Chinese (financial)
- 壹仟零伍拾柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,057 = 1
- e — Euler's number (e)
- Digit 1,057 = 5
- φ — Golden ratio (φ)
- Digit 1,057 = 5
- √2 — Pythagoras's (√2)
- Digit 1,057 = 9
- ln 2 — Natural log of 2
- Digit 1,057 = 7
- γ — Euler-Mascheroni (γ)
- Digit 1,057 = 3
Also seen as
UTF-8 encoding: D0 A1 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.33.
- Address
- 0.0.4.33
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.33
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,057 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +17¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -45¢ — about midway to C6)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +19¢)
The digit sequence 1057 first appears in π at position 2,810 of the decimal expansion (the 2,810ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.