1,238
1,238 is a composite number, even, a calendar year.
1,238 (one thousand two hundred thirty-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 619. Written other ways, in Roman numerals it is MCCXXXVIII and in binary, 10011010110.
Interestingness
Historical context — 1238 AD
Calendar year
Year 1238 (MCCXXXVIII) was a common year starting on Friday of the Julian calendar.
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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
-
Friday
January 1, 1238
- Ended on
-
Friday
December 31, 1238
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1230s
1230–1239
- Century
-
13th century
1201–1300
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
788
788 years before 2026.
In other calendars
- Hebrew
-
4998 / 4999 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
635 / 636 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1781 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
616 / 617 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1230 / 1231 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1160 / 1159 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 619
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,238 = [35; (5, 2, 1, 1, 34, 1, 1, 2, 5, 70)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one thousand two hundred thirty-eight
- Ordinal
- 1238th
- Roman numeral
- MCCXXXVIII
- Binary
- 10011010110
- Octal
- 2326
- Hexadecimal
- 0x4D6
- Base64
- BNY=
- One's complement
- 64,297 (16-bit)
- Scientific notation
- 1.238 × 10³
- As a duration
- 1,238 s = 20 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ασληʹ
- Mayan (base 20)
- 𝋣·𝋡·𝋲
- Chinese
- 一千二百三十八
- Chinese (financial)
- 壹仟貳佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,238 = 1
- e — Euler's number (e)
- Digit 1,238 = 8
- φ — Golden ratio (φ)
- Digit 1,238 = 9
- √2 — Pythagoras's (√2)
- Digit 1,238 = 6
- ln 2 — Natural log of 2
- Digit 1,238 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,238 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1238, here are decompositions:
- 7 + 1231 = 1238
- 37 + 1201 = 1238
- 67 + 1171 = 1238
- 109 + 1129 = 1238
- 151 + 1087 = 1238
- 199 + 1039 = 1238
- 229 + 1009 = 1238
- 241 + 997 = 1238
Showing the first eight; more decompositions exist.
UTF-8 encoding: D3 96 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.214.
- Address
- 0.0.4.214
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.214
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,238 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -9¢)
- Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +29¢)
- Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -8¢)
The digit sequence 1238 first appears in π at position 8,772 of the decimal expansion (the 8,772ordinal-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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.