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Number

1,582

1,582 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1582 AD

  1. Oct 15 The Gregorian calendar takes effect in Catholic Europe.
  2. Jun 21 Oda Nobunaga is killed at Honnō-ji; Toyotomi Hideyoshi avenges him.
  3. Undated Sir Walter Raleigh begins planning an English colony in North America.

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
Friday
January 1, 1582
Ended on
Friday
December 31, 1582
Friday the 13ths
1
One Friday the 13th this year.
Decade
1580s
1580–1589
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
444
444 years before 2026.

In other calendars

Hebrew
5342 / 5343 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
989 / 990 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Horse
Sexagenary cycle position 19 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2125 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
960 / 961 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1574 / 1575 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1504 / 1503 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
80
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
2,851
Recamán's sequence
a(1,392) = 1,582
Square (n²)
2,502,724
Cube (n³)
3,959,309,368
Divisor count
8
σ(n) — sum of divisors
2,736
φ(n) — Euler's totient
672
Sum of prime factors
122

Primality

Prime factorization: 2 × 7 × 113

Nearest primes: 1,579 (−3) · 1,583 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 113 · 226 · 791 (half) · 1582
Aliquot sum (sum of proper divisors): 1,154
Factor pairs (a × b = 1,582)
1 × 1582
2 × 791
7 × 226
14 × 113
First multiples
1,582 · 3,164 (double) · 4,746 · 6,328 · 7,910 · 9,492 · 11,074 · 12,656 · 14,238 · 15,820

Sums & aliquot sequence

As consecutive integers: 394 + 395 + 396 + 397 223 + 224 + … + 229 43 + 44 + … + 70
Aliquot sequence: 1,582 1,154 580 680 940 1,076 814 554 280 440 640 890 730 602 454 230 202 — unresolved within range

Representations

In words
one thousand five hundred eighty-two
Ordinal
1582nd
Roman numeral
MDLXXXII
Binary
11000101110
Octal
3056
Hexadecimal
0x62E
Base64
Bi4=
One's complement
63,953 (16-bit)
In other bases
ternary (3) 2011121
quaternary (4) 120232
quinary (5) 22312
senary (6) 11154
septenary (7) 4420
nonary (9) 2147
undecimal (11) 1209
duodecimal (12) aba
tridecimal (13) 949
tetradecimal (14) 810
pentadecimal (15) 707

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αφπβʹ
Mayan (base 20)
𝋣·𝋳·𝋢
Chinese
一千五百八十二
Chinese (financial)
壹仟伍佰捌拾貳
In other modern scripts
Eastern Arabic ١٥٨٢ Devanagari १५८२ Bengali ১৫৮২ Tamil ௧௫௮௨ Thai ๑๕๘๒ Tibetan ༡༥༨༢ Khmer ១៥៨២ Lao ໑໕໘໒ Burmese ၁၅၈၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,582 = 4
e — Euler's number (e)
Digit 1,582 = 0
φ — Golden ratio (φ)
Digit 1,582 = 4
√2 — Pythagoras's (√2)
Digit 1,582 = 9
ln 2 — Natural log of 2
Digit 1,582 = 9
γ — Euler-Mascheroni (γ)
Digit 1,582 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1582, here are decompositions:

  • 3 + 1579 = 1582
  • 11 + 1571 = 1582
  • 23 + 1559 = 1582
  • 29 + 1553 = 1582
  • 59 + 1523 = 1582
  • 71 + 1511 = 1582
  • 83 + 1499 = 1582
  • 89 + 1493 = 1582

Showing the first eight; more decompositions exist.

Unicode codepoint
خ
Arabic Letter Khah
U+062E
Other letter (Lo)

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

Hex color
#00062E
RGB(0, 6, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.46.

Address
0.0.6.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.46

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

Position in π

The digit sequence 1582 first appears in π at position 17,377 of the decimal expansion (the 17,377ordinal-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.