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Number

1,766

1,766 is a composite number, even, a calendar year.

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

Notable events — 1766 AD

  1. Mar 18 Parliament repeals the Stamp Act but passes the Declaratory Act.
  2. Aug 11 Catherine the Great founds the Slovo i Delo secret police... (Note: skip; record uncertain)
  3. Aug 13 Henry Cavendish reports hydrogen as a distinct element.

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
Wednesday
January 1, 1766
Ended on
Wednesday
December 31, 1766
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 30
Sunday, March 30, 1766
Decade
1760s
1760–1769
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
260
260 years before 2026.

In other calendars

Hebrew
5526 / 5527 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1179 / 1180 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2309 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1144 / 1145 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1758 / 1759 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1688 / 1687 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
6,671
Recamán's sequence
a(16,167) = 1,766
Square (n²)
3,118,756
Cube (n³)
5,507,723,096
Divisor count
4
σ(n) — sum of divisors
2,652
φ(n) — Euler's totient
882
Sum of prime factors
885

Primality

Prime factorization: 2 × 883

Nearest primes: 1,759 (−7) · 1,777 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 883 (half) · 1766
Aliquot sum (sum of proper divisors): 886
Factor pairs (a × b = 1,766)
1 × 1766
2 × 883
First multiples
1,766 · 3,532 (double) · 5,298 · 7,064 · 8,830 · 10,596 · 12,362 · 14,128 · 15,894 · 17,660

Sums & aliquot sequence

As consecutive integers: 440 + 441 + 442 + 443
Aliquot sequence: 1,766 886 446 226 116 94 50 43 1 0 — terminates at zero

Representations

In words
one thousand seven hundred sixty-six
Ordinal
1766th
Roman numeral
MDCCLXVI
Binary
11011100110
Octal
3346
Hexadecimal
0x6E6
Base64
BuY=
One's complement
63,769 (16-bit)
In other bases
ternary (3) 2102102
quaternary (4) 123212
quinary (5) 24031
senary (6) 12102
septenary (7) 5102
nonary (9) 2372
undecimal (11) 1366
duodecimal (12) 1032
tridecimal (13) a5b
tetradecimal (14) 902
pentadecimal (15) 7cb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αψξϛʹ
Mayan (base 20)
𝋤·𝋨·𝋦
Chinese
一千七百六十六
Chinese (financial)
壹仟柒佰陸拾陸
In other modern scripts
Eastern Arabic ١٧٦٦ Devanagari १७६६ Bengali ১৭৬৬ Tamil ௧௭௬௬ Thai ๑๗๖๖ Tibetan ༡༧༦༦ Khmer ១៧៦៦ Lao ໑໗໖໖ Burmese ၁၇၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,766 = 6
e — Euler's number (e)
Digit 1,766 = 1
φ — Golden ratio (φ)
Digit 1,766 = 0
√2 — Pythagoras's (√2)
Digit 1,766 = 1
ln 2 — Natural log of 2
Digit 1,766 = 5
γ — Euler-Mascheroni (γ)
Digit 1,766 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1766, here are decompositions:

  • 7 + 1759 = 1766
  • 13 + 1753 = 1766
  • 19 + 1747 = 1766
  • 43 + 1723 = 1766
  • 67 + 1699 = 1766
  • 73 + 1693 = 1766
  • 97 + 1669 = 1766
  • 103 + 1663 = 1766

Showing the first eight; more decompositions exist.

Unicode codepoint
ۦ
Arabic Small Yeh
U+06E6
Modifier letter (Lm)

UTF-8 encoding: DB A6 (2 bytes).

Hex color
#0006E6
RGB(0, 6, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.230.

Address
0.0.6.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.230

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001766
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1766 first appears in π at position 10,574 of the decimal expansion (the 10,574ordinal-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.