1,288
1,288 is a composite number, even, a calendar year.
1,288 (one thousand two hundred eighty-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 23. Its proper divisors sum to 1,592, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCLXXXVIII and in binary, 10100001000.
Interestingness
Historical context — 1288 AD
Calendar year
Year 1288 (MCCLXXXVIII) was a leap year starting on Thursday of the Julian calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Thursday
January 1, 1288
- Ended on
-
Friday
December 31, 1288
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1280s
1280–1289
- Century
-
13th century
1201–1300
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
738
738 years before 2026.
In other calendars
- Hebrew
-
5048 / 5049 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
686 / 687 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1831 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
666 / 667 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1280 / 1281 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1210 / 1209 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 3 × 7 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,288 = [35; (1, 7, 1, 70)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one thousand two hundred eighty-eight
- Ordinal
- 1288th
- Roman numeral
- MCCLXXXVIII
- Binary
- 10100001000
- Octal
- 2410
- Hexadecimal
- 0x508
- Base64
- BQg=
- One's complement
- 64,247 (16-bit)
- Scientific notation
- 1.288 × 10³
- As a duration
- 1,288 s = 21 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ασπηʹ
- Mayan (base 20)
- 𝋣·𝋤·𝋨
- Chinese
- 一千二百八十八
- Chinese (financial)
- 壹仟貳佰捌拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,288 = 6
- e — Euler's number (e)
- Digit 1,288 = 3
- φ — Golden ratio (φ)
- Digit 1,288 = 5
- √2 — Pythagoras's (√2)
- Digit 1,288 = 2
- ln 2 — Natural log of 2
- Digit 1,288 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,288 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1288, here are decompositions:
- 5 + 1283 = 1288
- 11 + 1277 = 1288
- 29 + 1259 = 1288
- 59 + 1229 = 1288
- 71 + 1217 = 1288
- 101 + 1187 = 1288
- 107 + 1181 = 1288
- 137 + 1151 = 1288
Showing the first eight; more decompositions exist.
UTF-8 encoding: D4 88 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.8.
- Address
- 0.0.5.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.8
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,288 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -41¢)
- Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -3¢)
- Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -39¢)
The digit sequence 1288 first appears in π at position 20,335 of the decimal expansion (the 20,335ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.