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Number

1,585

1,585 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1585 AD

Aug 17 Spanish forces under Parma capture Antwerp.
Aug 20 England's Treaty of Nonsuch sends troops to aid the Dutch.
Jul 4 Roanoke colonists arrive on Roanoke Island.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Tuesday
January 1, 1585
Ended on: Tuesday
December 31, 1585
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 21
Sunday, April 21, 1585
Decade: 1580s
1580–1589
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 441
441 years before 2026.

In other calendars

Hebrew: 5345 / 5346 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 992 / 994 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2128 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 963 / 964 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1577 / 1578 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1507 / 1506 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 200
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 5,851
Recamán's sequence: a(1,398) = 1,585
Square (n²): 2,512,225
Cube (n³): 3,981,876,625
Divisor count: 4
σ(n) — sum of divisors: 1,908
φ(n) — Euler's totient: 1,264
Sum of prime factors: 322

Primality

Prime factorization: 5 × 317

Nearest primes: 1,583 (−2) · 1,597 (+12)

Divisors & multiples

All divisors (4)

1 · 5 · 317 · 1585

Aliquot sum (sum of proper divisors): 323

Factor pairs (a × b = 1,585)

1 × 1585

5 × 317

First multiples

1,585 · 3,170 (double) · 4,755 · 6,340 · 7,925 · 9,510 · 11,095 · 12,680 · 14,265 · 15,850

Sums & aliquot sequence

As a sum of two squares: 8² + 39² = 17² + 36²

As consecutive integers: 792 + 793 315 + 316 + 317 + 318 + 319 154 + 155 + … + 163

Aliquot sequence: 1,585 → 323 → 37 → 1 → 0 — terminates at zero

Representations

In words: one thousand five hundred eighty-five
Ordinal: 1585th
Roman numeral: MDLXXXV
Binary: 11000110001
Octal: 3061
Hexadecimal: 0x631
Base64: BjE=
One's complement: 63,950 (16-bit)

In other bases

ternary (3) 2011201

quaternary (4) 120301

quinary (5) 22320

senary (6) 11201

septenary (7) 4423

nonary (9) 2151

undecimal (11) 1211

duodecimal (12) b01

tridecimal (13) 94c

tetradecimal (14) 813

pentadecimal (15) 70a

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφπεʹ
Mayan (base 20): 𝋣·𝋳·𝋥
Chinese: 一千五百八十五
Chinese (financial): 壹仟伍佰捌拾伍

In other modern scripts

Eastern Arabic ١٥٨٥ Devanagari १५८५ Bengali ১৫৮৫ Tamil ௧௫௮௫ Thai ๑๕๘๕ Tibetan ༡༥༨༥ Khmer ១៥៨៥ Lao ໑໕໘໕ Burmese ၁၅၈၅

Digit at this position in famous constants

π — Pi (π): Digit 1,585 = 2
e — Euler's number (e): Digit 1,585 = 5
φ — Golden ratio (φ): Digit 1,585 = 5
√2 — Pythagoras's (√2): Digit 1,585 = 5
ln 2 — Natural log of 2: Digit 1,585 = 7
γ — Euler-Mascheroni (γ): Digit 1,585 = 4

Also seen as

Unicode codepoint

ر

Arabic Letter Reh

U+0631

Other letter (Lo)

UTF-8 encoding: D8 B1 (2 bytes).

Lookup U+0631 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000631

RGB(0, 6, 49)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.49.

Address: 0.0.6.49
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.49

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1585 first appears in π at position 11,943 of the decimal expansion (the 11,943ordinal-suffix:rd 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.

Look up 1585 on Pi Search ↗