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Number

1,311

1,311 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree Year Zuckerman Number

Historical context — 1311 AD

Calendar year

Year 1311 (MCCCXI) was a common year starting on Friday of the Julian calendar.

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

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1311
Ended on
Thursday
December 31, 1311
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1310s
1310–1319
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
715
715 years before 2026.

In other calendars

Hebrew
5071 / 5072 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
710 / 711 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1854 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
689 / 690 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1303 / 1304 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1233 / 1232 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
6
Digit product
3
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
1,131
Recamán's sequence
a(414) = 1,311
Square (n²)
1,718,721
Cube (n³)
2,253,243,231
Divisor count
8
σ(n) — sum of divisors
1,920
φ(n) — Euler's totient
792
Sum of prime factors
45

Primality

Prime factorization: 3 × 19 × 23

Nearest primes: 1,307 (−4) · 1,319 (+8)

Divisors & multiples

All divisors (8)
1 · 3 · 19 · 23 · 57 · 69 · 437 · 1311
Aliquot sum (sum of proper divisors): 609
Factor pairs (a × b = 1,311)
1 × 1311
3 × 437
19 × 69
23 × 57
First multiples
1,311 · 2,622 (double) · 3,933 · 5,244 · 6,555 · 7,866 · 9,177 · 10,488 · 11,799 · 13,110

Sums & aliquot sequence

As consecutive integers: 655 + 656 436 + 437 + 438 216 + 217 + 218 + 219 + 220 + 221 60 + 61 + … + 78
Aliquot sequence: 1,311 609 351 209 31 1 0 — terminates at zero

Representations

In words
one thousand three hundred eleven
Ordinal
1311th
Roman numeral
MCCCXI
Binary
10100011111
Octal
2437
Hexadecimal
0x51F
Base64
BR8=
One's complement
64,224 (16-bit)
In other bases
ternary (3) 1210120
quaternary (4) 110133
quinary (5) 20221
senary (6) 10023
septenary (7) 3552
nonary (9) 1716
undecimal (11) a92
duodecimal (12) 913
tridecimal (13) 79b
tetradecimal (14) 699
pentadecimal (15) 5c6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ατιαʹ
Mayan (base 20)
𝋣·𝋥·𝋫
Chinese
一千三百一十一
Chinese (financial)
壹仟參佰壹拾壹
In other modern scripts
Eastern Arabic ١٣١١ Devanagari १३११ Bengali ১৩১১ Tamil ௧௩௧௧ Thai ๑๓๑๑ Tibetan ༡༣༡༡ Khmer ១៣១១ Lao ໑໓໑໑ Burmese ၁၃၁၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,311 = 2
e — Euler's number (e)
Digit 1,311 = 9
φ — Golden ratio (φ)
Digit 1,311 = 5
√2 — Pythagoras's (√2)
Digit 1,311 = 5
ln 2 — Natural log of 2
Digit 1,311 = 0
γ — Euler-Mascheroni (γ)
Digit 1,311 = 2

Also seen as

Unicode codepoint
ԟ
Cyrillic Small Letter Aleut Ka
U+051F
Lowercase letter (Ll)

UTF-8 encoding: D4 9F (2 bytes).

Hex color
#00051F
RGB(0, 5, 31)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.31.

Address
0.0.5.31
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.31

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

Position in π

The digit sequence 1311 first appears in π at position 4,506 of the decimal expansion (the 4,506ordinal-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.