Number

311

311 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 311 AD

Calendar year

Year 311 (CCCXI) was a common year starting on Monday of the Julian calendar.

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

Historical context — 311 BC

Calendar year

Year 311 BC was a year of the pre-Julian Roman 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: 52
Started on: Sunday
January 1, 311
Ended on: Sunday
December 31, 311
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 310s
310–319
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,715
1715 years before 2026.

In other calendars

Hebrew: 4071 / 4072 AM
Rosh Hashanah falls in September/October.
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: 854 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 303 / 304 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 233 / 232 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 5
Digit product: 3
Digital root: 5
Palindrome: No
Bit width: 9 bits
Reversed: 113
Recamán's sequence: a(626) = 311
Square (n²): 96,721
Cube (n³): 30,080,231
Divisor count: 2
σ(n) — sum of divisors: 312
φ(n) — Euler's totient: 310

Primality

311 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 311

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 311)

1 × 311

First multiples

311 · 622 (double) · 933 · 1,244 · 1,555 · 1,866 · 2,177 · 2,488 · 2,799 · 3,110

Sums & aliquot sequence

As consecutive integers: 155 + 156

Representations

In words: three hundred eleven
Ordinal: 311th
Roman numeral: CCCXI
Binary: 100110111
Octal: 467
Hexadecimal: 0x137
Base64: ATc=
One's complement: 65,224 (16-bit)

In other bases

ternary (3) 102112

quaternary (4) 10313

quinary (5) 2221

senary (6) 1235

septenary (7) 623

nonary (9) 375

undecimal (11) 263

duodecimal (12) 21b

tridecimal (13) 1ac

tetradecimal (14) 183

pentadecimal (15) 15b

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓏺
Greek (Milesian): τιαʹ
Mayan (base 20): 𝋯·𝋫
Chinese: 三百一十一
Chinese (financial): 參佰壹拾壹

In other modern scripts

Eastern Arabic ٣١١ Devanagari ३११ Bengali ৩১১ Tamil ௩௧௧ Thai ๓๑๑ Tibetan ༣༡༡ Khmer ៣១១ Lao ໓໑໑ Burmese ၃၁၁

Digit at this position in famous constants

π — Pi (π): Digit 311 = 6
e — Euler's number (e): Digit 311 = 8
φ — Golden ratio (φ): Digit 311 = 0
√2 — Pythagoras's (√2): Digit 311 = 5
ln 2 — Natural log of 2: Digit 311 = 8
γ — Euler-Mascheroni (γ): Digit 311 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 307 (gap of 4)
Next prime: 313 (gap of 2)

Pair status: twin with 313, cousin with 307.

Unicode codepoint

Latin Small Letter K With Cedilla

U+0137

Lowercase letter (Ll)

UTF-8 encoding: C4 B7 (2 bytes).

Lookup U+0137 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000137

RGB(0, 1, 55)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.55.

Address: 0.0.1.55
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.55

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