Number

1,308

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

1,308 (one thousand three hundred eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 109. Its proper divisors sum to 1,772, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCVIII and in binary, 10100011100.

Abundant Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,296 1,297 1,298 1,299 1,300 1,301 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

less more

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 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

Continued fraction of √n

√1,308 = [36; (6, 72)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.308 × 10³
As a duration: 1,308 s = 21 minutes, 48 seconds

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

Palindromic in base 11, base 14

As an angle

1,308° = 3 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter We

U+051C

Uppercase letter (Lu)

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

Lookup U+051C on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,308 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -13¢)

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.

Look up 1308 on Pi Search ↗