Number

1,314

1,314 is a composite number, even, a calendar year.

1,314 (one thousand three hundred fourteen) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 73. Its proper divisors sum to 1,572, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXIV and in binary, 10100100010.

Abundant Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,302 1,303 1,304 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

less more

Notable events — 1314 AD

Jun 24 Robert the Bruce decisively defeats the English at Bannockburn.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1314
Ended on: Monday
December 31, 1314
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1310s
1310–1319
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 712
712 years before 2026.

In other calendars

Hebrew: 5074 / 5075 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 713 / 714 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1857 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 692 / 693 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1306 / 1307 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1236 / 1235 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 12
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 4,131
Recamán's sequence: a(4,135) = 1,314
Square (n²): 1,726,596
Cube (n³): 2,268,747,144
Divisor count: 12
σ(n) — sum of divisors: 2,886
φ(n) — Euler's totient: 432
Sum of prime factors: 81

Primality

Prime factorization: 2 × 3 ² × 73

Nearest primes: 1,307 (−7) · 1,319 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 73 · 146 · 219 · 438 · 657 (half) · 1314

Aliquot sum (sum of proper divisors): 1,572

Factor pairs (a × b = 1,314)

1 × 1314

2 × 657

3 × 438

6 × 219

9 × 146

18 × 73

First multiples

1,314 · 2,628 (double) · 3,942 · 5,256 · 6,570 · 7,884 · 9,198 · 10,512 · 11,826 · 13,140

Sums & aliquot sequence

As a sum of two squares: 15² + 33²

As consecutive integers: 437 + 438 + 439 327 + 328 + 329 + 330 142 + 143 + … + 150 104 + 105 + … + 115

Aliquot sequence: 1,314 → 1,572 → 2,124 → 3,336 → 5,064 → 7,656 → 13,944 → 26,376 → 49,464 → 88,536 → 187,944 → 295,896 → 443,904 → 812,340 → 1,652,304 → 2,767,056 → 4,803,888 — unresolved within range

Continued fraction of √n

√1,314 = [36; (4, 72)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred fourteen
Ordinal: 1314th
Roman numeral: MCCCXIV
Binary: 10100100010
Octal: 2442
Hexadecimal: 0x522
Base64: BSI=
One's complement: 64,221 (16-bit)
Scientific notation: 1.314 × 10³
As a duration: 1,314 s = 21 minutes, 54 seconds

In other bases

ternary (3) 1210200

quaternary (4) 110202

quinary (5) 20224

senary (6) 10030

septenary (7) 3555

nonary (9) 1720

undecimal (11) a95

duodecimal (12) 916

tridecimal (13) 7a1

tetradecimal (14) 69c

pentadecimal (15) 5c9

Palindromic in base 8

As an angle

1,314° = 3 × 360° + 234°

234° ≈ 4.084 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατιδʹ
Mayan (base 20): 𝋣·𝋥·𝋮
Chinese: 一千三百一十四
Chinese (financial): 壹仟參佰壹拾肆

In other modern scripts

Eastern Arabic ١٣١٤ Devanagari १३१४ Bengali ১৩১৪ Tamil ௧௩௧௪ Thai ๑๓๑๔ Tibetan ༡༣༡༤ Khmer ១៣១៤ Lao ໑໓໑໔ Burmese ၁၃၁၄

Digit at this position in famous constants

π — Pi (π): Digit 1,314 = 8
e — Euler's number (e): Digit 1,314 = 4
φ — Golden ratio (φ): Digit 1,314 = 4
√2 — Pythagoras's (√2): Digit 1,314 = 7
ln 2 — Natural log of 2: Digit 1,314 = 7
γ — Euler-Mascheroni (γ): Digit 1,314 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1314, here are decompositions:

7 + 1307 = 1314
11 + 1303 = 1314
13 + 1301 = 1314
17 + 1297 = 1314
23 + 1291 = 1314
31 + 1283 = 1314
37 + 1277 = 1314
83 + 1231 = 1314

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter En With Middle Hook

U+0522

Uppercase letter (Lu)

UTF-8 encoding: D4 A2 (2 bytes).

Lookup U+0522 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000522

RGB(0, 5, 34)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.34.

Address: 0.0.5.34
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.34

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

Musical pitch

Heard as a frequency, 1,314 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -6¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +32¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -5¢)

Position in π

The digit sequence 1314 first appears in π at position 3,902 of the decimal expansion (the 3,902ordinal-suffix:nd 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 1314 on Pi Search ↗