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Number

1,566

1,566 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1566 AD

  1. Aug 19 The Beeldenstorm Calvinist iconoclasm spreads across the Low Countries.
  2. Mar 9 David Rizzio is murdered in front of Mary Queen of Scots.
  3. Sep 5 Suleiman the Magnificent dies during the siege of Szigetvár.

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
Saturday
January 1, 1566
Ended on
Saturday
December 31, 1566
Friday the 13ths
1
One Friday the 13th this year.
Decade
1560s
1560–1569
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
460
460 years before 2026.

In other calendars

Hebrew
5326 / 5327 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
973 / 974 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2109 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
944 / 945 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1558 / 1559 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1488 / 1487 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
6,651
Recamán's sequence
a(1,428) = 1,566
Square (n²)
2,452,356
Cube (n³)
3,840,389,496
Divisor count
16
σ(n) — sum of divisors
3,600
φ(n) — Euler's totient
504
Sum of prime factors
40

Primality

Prime factorization: 2 × 3 3 × 29

Nearest primes: 1,559 (−7) · 1,567 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 29 · 54 · 58 · 87 · 174 · 261 · 522 · 783 (half) · 1566
Aliquot sum (sum of proper divisors): 2,034
Factor pairs (a × b = 1,566)
1 × 1566
2 × 783
3 × 522
6 × 261
9 × 174
18 × 87
27 × 58
29 × 54
First multiples
1,566 · 3,132 (double) · 4,698 · 6,264 · 7,830 · 9,396 · 10,962 · 12,528 · 14,094 · 15,660

Sums & aliquot sequence

As consecutive integers: 521 + 522 + 523 390 + 391 + 392 + 393 170 + 171 + … + 178 125 + 126 + … + 136
Aliquot sequence: 1,566 2,034 2,412 3,776 3,844 3,107 253 35 13 1 0 — terminates at zero

Representations

In words
one thousand five hundred sixty-six
Ordinal
1566th
Roman numeral
MDLXVI
Binary
11000011110
Octal
3036
Hexadecimal
0x61E
Base64
Bh4=
One's complement
63,969 (16-bit)
In other bases
ternary (3) 2011000
quaternary (4) 120132
quinary (5) 22231
senary (6) 11130
septenary (7) 4365
nonary (9) 2130
undecimal (11) 11a4
duodecimal (12) aa6
tridecimal (13) 936
tetradecimal (14) 7dc
pentadecimal (15) 6e6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφξϛʹ
Mayan (base 20)
𝋣·𝋲·𝋦
Chinese
一千五百六十六
Chinese (financial)
壹仟伍佰陸拾陸
In other modern scripts
Eastern Arabic ١٥٦٦ Devanagari १५६६ Bengali ১৫৬৬ Tamil ௧௫௬௬ Thai ๑๕๖๖ Tibetan ༡༥༦༦ Khmer ១៥៦៦ Lao ໑໕໖໖ Burmese ၁၅၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,566 = 2
e — Euler's number (e)
Digit 1,566 = 5
φ — Golden ratio (φ)
Digit 1,566 = 2
√2 — Pythagoras's (√2)
Digit 1,566 = 6
ln 2 — Natural log of 2
Digit 1,566 = 0
γ — Euler-Mascheroni (γ)
Digit 1,566 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1566, here are decompositions:

  • 7 + 1559 = 1566
  • 13 + 1553 = 1566
  • 17 + 1549 = 1566
  • 23 + 1543 = 1566
  • 43 + 1523 = 1566
  • 67 + 1499 = 1566
  • 73 + 1493 = 1566
  • 79 + 1487 = 1566

Showing the first eight; more decompositions exist.

Unicode codepoint
؞
Arabic Triple Dot Punctuation Mark
U+061E
Other punctuation (Po)

UTF-8 encoding: D8 9E (2 bytes).

Hex color
#00061E
RGB(0, 6, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.30.

Address
0.0.6.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.30

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

Position in π

The digit sequence 1566 first appears in π at position 4,828 of the decimal expansion (the 4,828ordinal-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.