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Number

1,331

1,331 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Gapful Number Palindrome Perfect Cube Powerful Number Recamán's Sequence Year

Historical context — 1331 AD

Calendar year

Year 1331 (MCCCXXXI) was a common year starting on Tuesday of the Julian calendar.

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Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Monday
January 1, 1331
Ended on
Monday
December 31, 1331
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1330s
1330–1339
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
695
695 years before 2026.

In other calendars

Hebrew
5091 / 5092 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
731 / 732 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1874 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
709 / 710 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1323 / 1324 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1253 / 1252 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
8
Digit product
9
Digital root
8
Palindrome
Yes
Bit width
11 bits
Recamán's sequence
a(16,473) = 1,331
Square (n²)
1,771,561
Cube (n³)
2,357,947,691
Cube root (∛n)
11
Divisor count
4
σ(n) — sum of divisors
1,464
φ(n) — Euler's totient
1,210
Sum of prime factors
33

Primality

Prime factorization: 11 3

Nearest primes: 1,327 (−4) · 1,361 (+30)

Divisors & multiples

All divisors (4)
1 · 11 · 121 · 1331
Aliquot sum (sum of proper divisors): 133
Factor pairs (a × b = 1,331)
1 × 1331
11 × 121
First multiples
1,331 · 2,662 (double) · 3,993 · 5,324 · 6,655 · 7,986 · 9,317 · 10,648 · 11,979 · 13,310

Sums & aliquot sequence

As consecutive integers: 665 + 666 116 + 117 + … + 126 50 + 51 + … + 71
Aliquot sequence: 1,331 133 27 13 1 0 — terminates at zero

Representations

In words
one thousand three hundred thirty-one
Ordinal
1331st
Roman numeral
MCCCXXXI
Binary
10100110011
Octal
2463
Hexadecimal
0x533
Base64
BTM=
One's complement
64,204 (16-bit)
In other bases
ternary (3) 1211022
quaternary (4) 110303
quinary (5) 20311
senary (6) 10055
septenary (7) 3611
nonary (9) 1738
undecimal (11) 1000
duodecimal (12) 92b
tridecimal (13) 7b5
tetradecimal (14) 6b1
pentadecimal (15) 5db

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ατλαʹ
Mayan (base 20)
𝋣·𝋦·𝋫
Chinese
一千三百三十一
Chinese (financial)
壹仟參佰參拾壹
In other modern scripts
Eastern Arabic ١٣٣١ Devanagari १३३१ Bengali ১৩৩১ Tamil ௧௩௩௧ Thai ๑๓๓๑ Tibetan ༡༣༣༡ Khmer ១៣៣១ Lao ໑໓໓໑ Burmese ၁၃၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,331 = 9
e — Euler's number (e)
Digit 1,331 = 2
φ — Golden ratio (φ)
Digit 1,331 = 0
√2 — Pythagoras's (√2)
Digit 1,331 = 2
ln 2 — Natural log of 2
Digit 1,331 = 6
γ — Euler-Mascheroni (γ)
Digit 1,331 = 5

Also seen as

Unicode codepoint
Գ
Armenian Capital Letter Gim
U+0533
Uppercase letter (Lu)

UTF-8 encoding: D4 B3 (2 bytes).

Hex color
#000533
RGB(0, 5, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.51.

Address
0.0.5.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.51

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

Position in π

The digit sequence 1331 first appears in π at position 16,019 of the decimal expansion (the 16,019ordinal-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.