Number

1,566

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

1,566 (one thousand five hundred sixty-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 29. Its proper divisors sum to 2,034, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDLXVI and in binary, 11000011110.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,554 1,555 1,556 1,557 1,558 1,559 1,560 1,561 1,562 1,563 1,564 1,565 1,566 1,567 1,568 1,569 1,570 1,571 1,572 1,573 1,574 1,575 1,576 1,577 1,578

less more

Notable events — 1566 AD

Aug 19 The Beeldenstorm Calvinist iconoclasm spreads across the Low Countries.
Mar 9 David Rizzio is murdered in front of Mary Queen of Scots.
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

Continued fraction of √n

√1,566 = [39; (1, 1, 2, 1, 15, 8, 1, 2, 1, 2, 2, 2, 1, 2, 1, 8, 15, 1, 2, 1, 1, 78)]

Period length 22 — the block in parentheses repeats forever.

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)
Scientific notation: 1.566 × 10³
As a duration: 1,566 s = 26 minutes, 6 seconds

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

Palindromic in base 15

As an angle

1,566° = 4 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

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).

Lookup U+061E on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,566 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -2¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +35¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -1¢)

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.

Look up 1566 on Pi Search ↗