Number

1,317

1,317 is a composite number, odd, a calendar year.

1,317 (one thousand three hundred seventeen) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 439. Written other ways, in Roman numerals it is MCCCXVII and in binary, 10100100101.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,305 1,306 1,307 1,308 1,309 1,310 1,311 1,312 1,313 1,314 1,315 1,316 1,317 1,318 1,319 1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328 1,329

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Historical context — 1317 AD

Calendar year

Year 1317 (MCCCXVII) was a common year starting on Saturday of the Julian calendar.6693

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: Friday
January 1, 1317
Ended on: Friday
December 31, 1317
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1310s
1310–1319
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 709
709 years before 2026.

In other calendars

Hebrew: 5077 / 5078 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 716 / 717 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Snake
Sexagenary cycle position 54 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1860 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 695 / 696 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1309 / 1310 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1239 / 1238 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 12
Digit product: 21
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 7,131
Recamán's sequence: a(4,129) = 1,317
Square (n²): 1,734,489
Cube (n³): 2,284,322,013
Divisor count: 4
σ(n) — sum of divisors: 1,760
φ(n) — Euler's totient: 876
Sum of prime factors: 442

Primality

Prime factorization: 3 × 439

Nearest primes: 1,307 (−10) · 1,319 (+2)

Divisors & multiples

All divisors (4)

1 · 3 · 439 · 1317

Aliquot sum (sum of proper divisors): 443

Factor pairs (a × b = 1,317)

1 × 1317

3 × 439

First multiples

1,317 · 2,634 (double) · 3,951 · 5,268 · 6,585 · 7,902 · 9,219 · 10,536 · 11,853 · 13,170

Sums & aliquot sequence

As consecutive integers: 658 + 659 438 + 439 + 440 217 + 218 + 219 + 220 + 221 + 222

Aliquot sequence: 1,317 → 443 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,317 = [36; (3, 2, 3, 1, 5, 3, 1, 1, 1, 4, 1, 17, 3, 10, 24, 10, 3, 17, 1, 4, 1, 1, 1, 3, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred seventeen
Ordinal: 1317th
Roman numeral: MCCCXVII
Binary: 10100100101
Octal: 2445
Hexadecimal: 0x525
Base64: BSU=
One's complement: 64,218 (16-bit)
Scientific notation: 1.317 × 10³
As a duration: 1,317 s = 21 minutes, 57 seconds

In other bases

ternary (3) 1210210

quaternary (4) 110211

quinary (5) 20232

senary (6) 10033

septenary (7) 3561

nonary (9) 1723

undecimal (11) a98

duodecimal (12) 919

tridecimal (13) 7a4

tetradecimal (14) 6a1

pentadecimal (15) 5cc

Palindromic in base 2, base 12, base 16

As an angle

1,317° = 3 × 360° + 237°

237° ≈ 4.136 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατιζʹ
Mayan (base 20): 𝋣·𝋥·𝋱
Chinese: 一千三百一十七
Chinese (financial): 壹仟參佰壹拾柒

In other modern scripts

Eastern Arabic ١٣١٧ Devanagari १३१७ Bengali ১৩১৭ Tamil ௧௩௧௭ Thai ๑๓๑๗ Tibetan ༡༣༡༧ Khmer ១៣១៧ Lao ໑໓໑໗ Burmese ၁၃၁၇

Digit at this position in famous constants

π — Pi (π): Digit 1,317 = 5
e — Euler's number (e): Digit 1,317 = 3
φ — Golden ratio (φ): Digit 1,317 = 1
√2 — Pythagoras's (√2): Digit 1,317 = 4
ln 2 — Natural log of 2: Digit 1,317 = 5
γ — Euler-Mascheroni (γ): Digit 1,317 = 6

Also seen as

Unicode codepoint

Cyrillic Small Letter Pe With Descender

U+0525

Lowercase letter (Ll)

UTF-8 encoding: D4 A5 (2 bytes).

Lookup U+0525 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000525

RGB(0, 5, 37)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.37.

Address: 0.0.5.37
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.37

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

Musical pitch

Heard as a frequency, 1,317 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -2¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +36¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -1¢)

Position in π

The digit sequence 1317 first appears in π at position 4,566 of the decimal expansion (the 4,566ordinal-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 1317 on Pi Search ↗