Number

1,768

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

1,768 (one thousand seven hundred sixty-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 17. Its proper divisors sum to 2,012, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCLXVIII and in binary, 11011101000.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,756 1,757 1,758 1,759 1,760 1,761 1,762 1,763 1,764 1,765 1,766 1,767 1,768 1,769 1,770 1,771 1,772 1,773 1,774 1,775 1,776 1,777 1,778 1,779 1,780

less more

Notable events — 1768 AD

Aug 26 Captain James Cook departs Plymouth on his first voyage of exploration.
May 15 The Treaty of Versailles cedes Corsica to France.
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

Continued fraction of √n

√1,768 = [42; (21, 84)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.768 × 10³
As a duration: 1,768 s = 29 minutes, 28 seconds

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

As an angle

1,768° = 4 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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).

Lookup U+06E8 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,768 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, +8¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +45¢ — about midway to A♯6)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, +9¢)

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.

Look up 1768 on Pi Search ↗