585
585 is a composite number, odd, a calendar year.
585 (five hundred eighty-five) is an odd 3-digit number. It is a composite number with 12 divisors, and factors as 3² × 5 × 13. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is DLXXXV and in binary, 1001001001.
Interestingness
Historical context — 585 AD
Calendar year
Year 585 (DLXXXV) was a common year starting on Monday of the Julian calendar.
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Historical context — 585 BC
Calendar year
The year 585 BC was a year of the pre-Julian Roman 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
-
Saturday
January 1, 585
- Ended on
-
Saturday
December 31, 585
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
580s
580–589
- Century
-
6th century
501–600
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,441
1441 years before 2026.
In other calendars
- Hebrew
-
4345 / 4346 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1128 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
577 / 578 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
507 / 506 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 3 2 × 5 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√585 = [24; (5, 2, 1, 4, 1, 2, 5, 48)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- five hundred eighty-five
- Ordinal
- 585th
- Roman numeral
- DLXXXV
- Binary
- 1001001001
- Octal
- 1111
- Hexadecimal
- 0x249
- Base64
- Akk=
- One's complement
- 64,950 (16-bit)
- Scientific notation
- 5.85 × 10²
- As a duration
- 585 s = 9 minutes, 45 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- φπεʹ
- Mayan (base 20)
- 𝋡·𝋩·𝋥
- Chinese
- 五百八十五
- Chinese (financial)
- 伍佰捌拾伍
Digit at this position in famous constants
- π — Pi (π)
- Digit 585 = 7
- e — Euler's number (e)
- Digit 585 = 9
- φ — Golden ratio (φ)
- Digit 585 = 0
- √2 — Pythagoras's (√2)
- Digit 585 = 4
- ln 2 — Natural log of 2
- Digit 585 = 5
- γ — Euler-Mascheroni (γ)
- Digit 585 = 6
Also seen as
UTF-8 encoding: C9 89 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.73.
- Address
- 0.0.2.73
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.2.73
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 585 is an active NANP area code (North American Numbering Plan).
- Primary area
- Rochester
- Region
- New York
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 585 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D5 (587.3 Hz, -7¢)
- Scientific pitch (C4 = 256 Hz): D5 (574.7 Hz, +31¢)
- Baroque pitch (A4 = 415 Hz): D♯5 (586.9 Hz, -6¢)
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.