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Number

1,308

1,308 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Year

Historical context — 1308 AD

Calendar year

Year 1308 (MCCCVIII) was a leap 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 →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Sunday
January 1, 1308
Ended on
Monday
December 31, 1308
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1300s
1300–1309
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
718
718 years before 2026.

In other calendars

Hebrew
5068 / 5069 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
707 / 708 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1851 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
686 / 687 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1300 / 1301 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1230 / 1229 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
8,031
Recamán's sequence
a(408) = 1,308
Square (n²)
1,710,864
Cube (n³)
2,237,810,112
Divisor count
12
σ(n) — sum of divisors
3,080
φ(n) — Euler's totient
432
Sum of prime factors
116

Primality

Prime factorization: 2 2 × 3 × 109

Nearest primes: 1,307 (−1) · 1,319 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 109 · 218 · 327 · 436 · 654 (half) · 1308
Aliquot sum (sum of proper divisors): 1,772
Factor pairs (a × b = 1,308)
1 × 1308
2 × 654
3 × 436
4 × 327
6 × 218
12 × 109
First multiples
1,308 · 2,616 (double) · 3,924 · 5,232 · 6,540 · 7,848 · 9,156 · 10,464 · 11,772 · 13,080

Sums & aliquot sequence

As consecutive integers: 435 + 436 + 437 160 + 161 + … + 167 43 + 44 + … + 66
Aliquot sequence: 1,308 1,772 1,336 1,184 1,210 1,184 — enters a cycle

Representations

In words
one thousand three hundred eight
Ordinal
1308th
Roman numeral
MCCCVIII
Binary
10100011100
Octal
2434
Hexadecimal
0x51C
Base64
BRw=
One's complement
64,227 (16-bit)
In other bases
ternary (3) 1210110
quaternary (4) 110130
quinary (5) 20213
senary (6) 10020
septenary (7) 3546
nonary (9) 1713
undecimal (11) a8a
duodecimal (12) 910
tridecimal (13) 798
tetradecimal (14) 696
pentadecimal (15) 5c3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατηʹ
Mayan (base 20)
𝋣·𝋥·𝋨
Chinese
一千三百零八
Chinese (financial)
壹仟參佰零捌
In other modern scripts
Eastern Arabic ١٣٠٨ Devanagari १३०८ Bengali ১৩০৮ Tamil ௧௩௦௮ Thai ๑๓๐๘ Tibetan ༡༣༠༨ Khmer ១៣០៨ Lao ໑໓໐໘ Burmese ၁၃၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,308 = 7
e — Euler's number (e)
Digit 1,308 = 5
φ — Golden ratio (φ)
Digit 1,308 = 9
√2 — Pythagoras's (√2)
Digit 1,308 = 2
ln 2 — Natural log of 2
Digit 1,308 = 7
γ — Euler-Mascheroni (γ)
Digit 1,308 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1308, here are decompositions:

  • 5 + 1303 = 1308
  • 7 + 1301 = 1308
  • 11 + 1297 = 1308
  • 17 + 1291 = 1308
  • 19 + 1289 = 1308
  • 29 + 1279 = 1308
  • 31 + 1277 = 1308
  • 59 + 1249 = 1308

Showing the first eight; more decompositions exist.

Unicode codepoint
Ԝ
Cyrillic Capital Letter We
U+051C
Uppercase letter (Lu)

UTF-8 encoding: D4 9C (2 bytes).

Hex color
#00051C
RGB(0, 5, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.28.

Address
0.0.5.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.28

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

Position in π

The digit sequence 1308 first appears in π at position 24,291 of the decimal expansion (the 24,291ordinal-suffix:st 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.