Number

1,764

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

1,764 (one thousand seven hundred sixty-four) is an even 4-digit number. It is a composite number with 27 divisors, and factors as 2² × 3² × 7². Its proper divisors sum to 3,423, more than the number itself, making it an abundant number. It is a perfect square (42²). Written other ways, in Roman numerals it is MDCCLXIV and in binary, 11011100100.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,752 1,753 1,754 1,755 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

less more

Notable events — 1764 AD

Apr 5 Britain's Sugar Act passes, taxing colonial imports.
Aug 17 James Hargreaves invents the spinning jenny.
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)
Scientific notation: 1.764 × 10³
As a duration: 1,764 s = 29 minutes, 24 seconds

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

As an angle

1,764° = 4 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

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).

Lookup U+06E4 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,764 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, +5¢)

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.

Look up 1764 on Pi Search ↗