1,058
1,058 is a composite number, even, a calendar year.
1,058 (one thousand fifty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2 × 23². Written other ways, in Roman numerals it is MLVIII and in binary, 10000100010.
Interestingness
Historical context — 1058 AD
Calendar year
Year 1058 (MLVIII) was a common year starting on Thursday 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
- 52
- Started on
-
Friday
January 1, 1058
- Ended on
-
Friday
December 31, 1058
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1050s
1050–1059
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
968
968 years before 2026.
In other calendars
- Hebrew
-
4818 / 4819 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
449 / 450 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1601 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
436 / 437 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1050 / 1051 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
980 / 979 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 23 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,058 = [32; (1, 1, 8, 1, 3, 1, 3, 32, 3, 1, 3, 1, 8, 1, 1, 64)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one thousand fifty-eight
- Ordinal
- 1058th
- Roman numeral
- MLVIII
- Binary
- 10000100010
- Octal
- 2042
- Hexadecimal
- 0x422
- Base64
- BCI=
- One's complement
- 64,477 (16-bit)
- Scientific notation
- 1.058 × 10³
- As a duration
- 1,058 s = 17 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ανηʹ
- Mayan (base 20)
- 𝋢·𝋬·𝋲
- Chinese
- 一千零五十八
- Chinese (financial)
- 壹仟零伍拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,058 = 8
- e — Euler's number (e)
- Digit 1,058 = 8
- φ — Golden ratio (φ)
- Digit 1,058 = 3
- √2 — Pythagoras's (√2)
- Digit 1,058 = 1
- ln 2 — Natural log of 2
- Digit 1,058 = 3
- γ — Euler-Mascheroni (γ)
- Digit 1,058 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1058, here are decompositions:
- 7 + 1051 = 1058
- 19 + 1039 = 1058
- 37 + 1021 = 1058
- 61 + 997 = 1058
- 67 + 991 = 1058
- 139 + 919 = 1058
- 151 + 907 = 1058
- 181 + 877 = 1058
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 A2 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.34.
- Address
- 0.0.4.34
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.34
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,058 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +19¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -43¢)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +20¢)
The digit sequence 1058 first appears in π at position 49 of the decimal expansion (the 49ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.