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Number

1,768

1,768 is a composite number, even, a calendar year.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1768 AD

  1. Aug 26 Captain James Cook departs Plymouth on his first voyage of exploration.
  2. May 15 The Treaty of Versailles cedes Corsica to France.
  3. Sep 16 Catherine the Great proclaims religious tolerance in Russia.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Friday
January 1, 1768
Ended on
Saturday
December 31, 1768
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 3
Sunday, April 3, 1768
Decade
1760s
1760–1769
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
258
258 years before 2026.

In other calendars

Hebrew
5528 / 5529 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1181 / 1182 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2311 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1146 / 1147 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1760 / 1761 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1690 / 1689 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
8,671
Recamán's sequence
a(16,163) = 1,768
Square (n²)
3,125,824
Cube (n³)
5,526,456,832
Divisor count
16
σ(n) — sum of divisors
3,780
φ(n) — Euler's totient
768
Sum of prime factors
36

Primality

Prime factorization: 2 3 × 13 × 17

Nearest primes: 1,759 (−9) · 1,777 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 17 · 26 · 34 · 52 · 68 · 104 · 136 · 221 · 442 · 884 (half) · 1768
Aliquot sum (sum of proper divisors): 2,012
Factor pairs (a × b = 1,768)
1 × 1768
2 × 884
4 × 442
8 × 221
13 × 136
17 × 104
26 × 68
34 × 52
First multiples
1,768 · 3,536 (double) · 5,304 · 7,072 · 8,840 · 10,608 · 12,376 · 14,144 · 15,912 · 17,680

Sums & aliquot sequence

As a sum of two squares: 2² + 42² = 18² + 38²
As consecutive integers: 130 + 131 + … + 142 103 + 104 + … + 118 96 + 97 + … + 112
Aliquot sequence: 1,768 2,012 1,516 1,144 1,376 1,396 1,054 674 340 416 466 236 184 176 196 203 37 — unresolved within range

Representations

In words
one thousand seven hundred sixty-eight
Ordinal
1768th
Roman numeral
MDCCLXVIII
Binary
11011101000
Octal
3350
Hexadecimal
0x6E8
Base64
Bug=
One's complement
63,767 (16-bit)
In other bases
ternary (3) 2102111
quaternary (4) 123220
quinary (5) 24033
senary (6) 12104
septenary (7) 5104
nonary (9) 2374
undecimal (11) 1368
duodecimal (12) 1034
tridecimal (13) a60
tetradecimal (14) 904
pentadecimal (15) 7cd

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αψξηʹ
Mayan (base 20)
𝋤·𝋨·𝋨
Chinese
一千七百六十八
Chinese (financial)
壹仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٧٦٨ Devanagari १७६८ Bengali ১৭৬৮ Tamil ௧௭௬௮ Thai ๑๗๖๘ Tibetan ༡༧༦༨ Khmer ១៧៦៨ Lao ໑໗໖໘ Burmese ၁၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,768 = 1
e — Euler's number (e)
Digit 1,768 = 6
φ — Golden ratio (φ)
Digit 1,768 = 3
√2 — Pythagoras's (√2)
Digit 1,768 = 5
ln 2 — Natural log of 2
Digit 1,768 = 1
γ — Euler-Mascheroni (γ)
Digit 1,768 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1768, here are decompositions:

  • 47 + 1721 = 1768
  • 59 + 1709 = 1768
  • 71 + 1697 = 1768
  • 101 + 1667 = 1768
  • 131 + 1637 = 1768
  • 149 + 1619 = 1768
  • 167 + 1601 = 1768
  • 197 + 1571 = 1768

Showing the first eight; more decompositions exist.

Unicode codepoint
ۨ
Arabic Small High Noon
U+06E8
Non-spacing mark (Mn)

UTF-8 encoding: DB A8 (2 bytes).

Hex color
#0006E8
RGB(0, 6, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.232.

Address
0.0.6.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.232

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

Position in π

The digit sequence 1768 first appears in π at position 16,009 of the decimal expansion (the 16,009ordinal-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.