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Number

1,764

1,764 is a composite number, even, a calendar year.

Abundant Number Evil Number Gapful Number Harshad / Niven Perfect Square Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1764 AD

  1. Apr 5 Britain's Sugar Act passes, taxing colonial imports.
  2. Aug 17 James Hargreaves invents the spinning jenny.
  3. Jan 11 Mozart, age seven, performs in Paris.

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
Sunday
January 1, 1764
Ended on
Monday
December 31, 1764
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
April 22
Sunday, April 22, 1764
Decade
1760s
1760–1769
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
262
262 years before 2026.

In other calendars

Hebrew
5524 / 5525 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1177 / 1178 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2307 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1142 / 1143 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1756 / 1757 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1686 / 1685 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
168
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
4,671
Recamán's sequence
a(16,171) = 1,764
Square (n²)
3,111,696
Cube (n³)
5,489,031,744
Square root (√n)
42
Divisor count
27
σ(n) — sum of divisors
5,187
φ(n) — Euler's totient
504
Sum of prime factors
24

Primality

Prime factorization: 2 2 × 3 2 × 7 2

Nearest primes: 1,759 (−5) · 1,777 (+13)

Divisors & multiples

All divisors (27)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 49 · 63 · 84 · 98 · 126 · 147 · 196 · 252 · 294 · 441 · 588 · 882 (half) · 1764
Aliquot sum (sum of proper divisors): 3,423
Factor pairs (a × b = 1,764)
1 × 1764
2 × 882
3 × 588
4 × 441
6 × 294
7 × 252
9 × 196
12 × 147
14 × 126
18 × 98
21 × 84
28 × 63
36 × 49
42 × 42
First multiples
1,764 · 3,528 (double) · 5,292 · 7,056 · 8,820 · 10,584 · 12,348 · 14,112 · 15,876 · 17,640

Sums & aliquot sequence

As a sum of two squares: 0² + 42²
As consecutive integers: 587 + 588 + 589 249 + 250 + … + 255 217 + 218 + … + 224 192 + 193 + … + 200
Aliquot sequence: 1,764 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand seven hundred sixty-four
Ordinal
1764th
Roman numeral
MDCCLXIV
Binary
11011100100
Octal
3344
Hexadecimal
0x6E4
Base64
BuQ=
One's complement
63,771 (16-bit)
In other bases
ternary (3) 2102100
quaternary (4) 123210
quinary (5) 24024
senary (6) 12100
septenary (7) 5100
nonary (9) 2370
undecimal (11) 1364
duodecimal (12) 1030
tridecimal (13) a59
tetradecimal (14) 900
pentadecimal (15) 7c9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αψξδʹ
Mayan (base 20)
𝋤·𝋨·𝋤
Chinese
一千七百六十四
Chinese (financial)
壹仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٧٦٤ Devanagari १७६४ Bengali ১৭৬৪ Tamil ௧௭௬௪ Thai ๑๗๖๔ Tibetan ༡༧༦༤ Khmer ១៧៦៤ Lao ໑໗໖໔ Burmese ၁၇၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,764 = 9
e — Euler's number (e)
Digit 1,764 = 1
φ — Golden ratio (φ)
Digit 1,764 = 6
√2 — Pythagoras's (√2)
Digit 1,764 = 0
ln 2 — Natural log of 2
Digit 1,764 = 3
γ — Euler-Mascheroni (γ)
Digit 1,764 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1764, here are decompositions:

  • 5 + 1759 = 1764
  • 11 + 1753 = 1764
  • 17 + 1747 = 1764
  • 23 + 1741 = 1764
  • 31 + 1733 = 1764
  • 41 + 1723 = 1764
  • 43 + 1721 = 1764
  • 67 + 1697 = 1764

Showing the first eight; more decompositions exist.

Unicode codepoint
ۤ
Arabic Small High Madda
U+06E4
Non-spacing mark (Mn)

UTF-8 encoding: DB A4 (2 bytes).

Hex color
#0006E4
RGB(0, 6, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.228.

Address
0.0.6.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.228

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

Position in π

The digit sequence 1764 first appears in π at position 18,277 of the decimal expansion (the 18,277ordinal-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.