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Number

1,314

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

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

Notable events — 1314 AD

  1. 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

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)
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

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
Ԣ
Cyrillic Capital Letter En With Middle Hook
U+0522
Uppercase letter (Lu)

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

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.

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.