Number

1,332

1,332 is a composite number, even, a calendar year.

1,332 (one thousand three hundred thirty-two) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 37. Its proper divisors sum to 2,126, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXXXII and in binary, 10100110100.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Refactorable Number Semiperfect Number Year Zuckerman Number

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328 1,329 1,330 1,331 1,332 1,333 1,334 1,335 1,336 1,337 1,338 1,339 1,340 1,341 1,342 1,343 1,344

less more

Historical context — 1332 AD

Calendar year

Year 1332 (MCCCXXXII) was a leap year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: Tuesday
January 1, 1332
Ended on: Wednesday
December 31, 1332
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1330s
1330–1339
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 694
694 years before 2026.

In other calendars

Hebrew: 5092 / 5093 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 732 / 733 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1875 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 710 / 711 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1324 / 1325 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1254 / 1253 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 18
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 2,331
Recamán's sequence: a(16,471) = 1,332
Square (n²): 1,774,224
Cube (n³): 2,363,266,368
Divisor count: 18
σ(n) — sum of divisors: 3,458
φ(n) — Euler's totient: 432
Sum of prime factors: 47

Primality

Prime factorization: 2 ² × 3 ² × 37

Nearest primes: 1,327 (−5) · 1,361 (+29)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 37 · 74 · 111 · 148 · 222 · 333 · 444 · 666 (half) · 1332

Aliquot sum (sum of proper divisors): 2,126

Factor pairs (a × b = 1,332)

1 × 1332

2 × 666

3 × 444

4 × 333

6 × 222

9 × 148

12 × 111

18 × 74

36 × 37

First multiples

1,332 · 2,664 (double) · 3,996 · 5,328 · 6,660 · 7,992 · 9,324 · 10,656 · 11,988 · 13,320

Sums & aliquot sequence

As a sum of two squares: 6² + 36²

As a sum of two cubes: 1³ + 11³

As consecutive integers: 443 + 444 + 445 163 + 164 + … + 170 144 + 145 + … + 152 44 + 45 + … + 67

Aliquot sequence: 1,332 → 2,126 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,332 = [36; (2, 72)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred thirty-two
Ordinal: 1332nd
Roman numeral: MCCCXXXII
Binary: 10100110100
Octal: 2464
Hexadecimal: 0x534
Base64: BTQ=
One's complement: 64,203 (16-bit)
Scientific notation: 1.332 × 10³
As a duration: 1,332 s = 22 minutes, 12 seconds

In other bases

ternary (3) 1211100

quaternary (4) 110310

quinary (5) 20312

senary (6) 10100

septenary (7) 3612

nonary (9) 1740

undecimal (11) 1001

duodecimal (12) 930

tridecimal (13) 7b6

tetradecimal (14) 6b2

pentadecimal (15) 5dc

Palindromic in base 11

As an angle

1,332° = 3 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ατλβʹ
Mayan (base 20): 𝋣·𝋦·𝋬
Chinese: 一千三百三十二
Chinese (financial): 壹仟參佰參拾貳

In other modern scripts

Eastern Arabic ١٣٣٢ Devanagari १३३२ Bengali ১৩৩২ Tamil ௧௩௩௨ Thai ๑๓๓๒ Tibetan ༡༣༣༢ Khmer ១៣៣២ Lao ໑໓໓໒ Burmese ၁၃၃၂

Digit at this position in famous constants

π — Pi (π): Digit 1,332 = 6
e — Euler's number (e): Digit 1,332 = 7
φ — Golden ratio (φ): Digit 1,332 = 2
√2 — Pythagoras's (√2): Digit 1,332 = 4
ln 2 — Natural log of 2: Digit 1,332 = 2
γ — Euler-Mascheroni (γ): Digit 1,332 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1332, here are decompositions:

5 + 1327 = 1332
11 + 1321 = 1332
13 + 1319 = 1332
29 + 1303 = 1332
31 + 1301 = 1332
41 + 1291 = 1332
43 + 1289 = 1332
53 + 1279 = 1332

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Capital Letter Da

U+0534

Uppercase letter (Lu)

UTF-8 encoding: D4 B4 (2 bytes).

Lookup U+0534 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000534

RGB(0, 5, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.52.

Address: 0.0.5.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.52

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

Musical pitch

Heard as a frequency, 1,332 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -45¢ — about midway to E6)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +19¢)

Position in π

The digit sequence 1332 first appears in π at position 5,397 of the decimal expansion (the 5,397ordinal-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 1332 on Pi Search ↗