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Number

585

585 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Palindrome Recamán's Sequence Year

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.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
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

Parity
Odd
Digit count
3
Digit sum
18
Digit product
200
Digital root
9
Palindrome
Yes
Bit width
10 bits
Recamán's sequence
a(1,089) = 585
Square (n²)
342,225
Cube (n³)
200,201,625
Divisor count
12
σ(n) — sum of divisors
1,092
φ(n) — Euler's totient
288
Sum of prime factors
24

Primality

Prime factorization: 3 2 × 5 × 13

Nearest primes: 577 (−8) · 587 (+2)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 9 · 13 · 15 · 39 · 45 · 65 · 117 · 195 · 585
Aliquot sum (sum of proper divisors): 507
Factor pairs (a × b = 585)
1 × 585
3 × 195
5 × 117
9 × 65
13 × 45
15 × 39
First multiples
585 · 1,170 (double) · 1,755 · 2,340 · 2,925 · 3,510 · 4,095 · 4,680 · 5,265 · 5,850

Sums & aliquot sequence

As a sum of two squares: 3² + 24² = 12² + 21²
As consecutive integers: 292 + 293 194 + 195 + 196 115 + 116 + 117 + 118 + 119 95 + 96 + 97 + 98 + 99 + 100
Aliquot sequence: 585 507 225 178 92 76 64 63 41 1 0 — terminates at zero

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)
In other bases
ternary (3) 210200
quaternary (4) 21021
quinary (5) 4320
senary (6) 2413
septenary (7) 1464
nonary (9) 720
undecimal (11) 492
duodecimal (12) 409
tridecimal (13) 360
tetradecimal (14) 2db
pentadecimal (15) 290

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
In other modern scripts
Eastern Arabic ٥٨٥ Devanagari ५८५ Bengali ৫৮৫ Tamil ௫௮௫ Thai ๕๘๕ Tibetan ༥༨༥ Khmer ៥៨៥ Lao ໕໘໕ Burmese ၅၈၅

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

Unicode codepoint
ɉ
Latin Small Letter J With Stroke
U+0249
Lowercase letter (Ll)

UTF-8 encoding: C9 89 (2 bytes).

Hex color
#000249
RGB(0, 2, 73)
IPv4 address

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.

NANP area code 585

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.