Number

317

317 is a prime, odd, a calendar year.

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

Historical context — 317 AD

Calendar year

Year 317 (CCCXVII) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 317 BC

Calendar year

Year 317 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: Monday
January 1, 317
Ended on: Monday
December 31, 317
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: 1,709
1709 years before 2026.

In other calendars

Hebrew: 4077 / 4078 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 860 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 309 / 310 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 239 / 238 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 11
Digit product: 21
Digital root: 2
Palindrome: No
Bit width: 9 bits
Reversed: 713
Recamán's sequence: a(614) = 317
Square (n²): 100,489
Cube (n³): 31,855,013
Divisor count: 2
σ(n) — sum of divisors: 318
φ(n) — Euler's totient: 316

Primality

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

Divisors & multiples

All divisors (2)

1 · 317

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 317)

1 × 317

First multiples

317 · 634 (double) · 951 · 1,268 · 1,585 · 1,902 · 2,219 · 2,536 · 2,853 · 3,170

Sums & aliquot sequence

As a sum of two squares: 11² + 14²

As consecutive integers: 158 + 159

Representations

In words: three hundred seventeen
Ordinal: 317th
Roman numeral: CCCXVII
Binary: 100111101
Octal: 475
Hexadecimal: 0x13D
Base64: AT0=
One's complement: 65,218 (16-bit)

In other bases

ternary (3) 102202

quaternary (4) 10331

quinary (5) 2232

senary (6) 1245

septenary (7) 632

nonary (9) 382

undecimal (11) 269

duodecimal (12) 225

tridecimal (13) 1b5

tetradecimal (14) 189

pentadecimal (15) 162

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τιζʹ
Mayan (base 20): 𝋯·𝋱
Chinese: 三百一十七
Chinese (financial): 參佰壹拾柒

In other modern scripts

Eastern Arabic ٣١٧ Devanagari ३१७ Bengali ৩১৭ Tamil ௩௧௭ Thai ๓๑๗ Tibetan ༣༡༧ Khmer ៣១៧ Lao ໓໑໗ Burmese ၃၁၇

Digit at this position in famous constants

π — Pi (π): Digit 317 = 5
e — Euler's number (e): Digit 317 = 2
φ — Golden ratio (φ): Digit 317 = 7
√2 — Pythagoras's (√2): Digit 317 = 8
ln 2 — Natural log of 2: Digit 317 = 1
γ — Euler-Mascheroni (γ): Digit 317 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 313 (gap of 4)
Next prime: 331 (gap of 14)

Pair status: cousin with 313.

Unicode codepoint

Latin Capital Letter L With Caron

U+013D

Uppercase letter (Lu)

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

Lookup U+013D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00013D

RGB(0, 1, 61)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.61.

Address: 0.0.1.61
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.61

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

NANP area code 317

The number 317 is an active NANP area code (North American Numbering Plan).

Primary area: Indianapolis
Region: Indiana
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 317 ↗

Calculator-display word

Type 317 on a seven-segment calculator, flip it 180°, and the display reads:

LIE

A staple of calculator humor since pocket calculators put digits in front of bored students.