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Number

1,238

1,238 is a composite number, even, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1238 AD

Calendar year

Year 1238 (MCCXXXVIII) was a common year starting on Friday 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
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

Parity
Even
Digit count
4
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
8,321
Recamán's sequence
a(8,512) = 1,238
Square (n²)
1,532,644
Cube (n³)
1,897,413,272
Divisor count
4
σ(n) — sum of divisors
1,860
φ(n) — Euler's totient
618
Sum of prime factors
621

Primality

Prime factorization: 2 × 619

Nearest primes: 1,237 (−1) · 1,249 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 619 (half) · 1238
Aliquot sum (sum of proper divisors): 622
Factor pairs (a × b = 1,238)
1 × 1238
2 × 619
First multiples
1,238 · 2,476 (double) · 3,714 · 4,952 · 6,190 · 7,428 · 8,666 · 9,904 · 11,142 · 12,380

Sums & aliquot sequence

As consecutive integers: 308 + 309 + 310 + 311
Aliquot sequence: 1,238 622 314 160 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

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)
In other bases
ternary (3) 1200212
quaternary (4) 103112
quinary (5) 14423
senary (6) 5422
septenary (7) 3416
nonary (9) 1625
undecimal (11) a26
duodecimal (12) 872
tridecimal (13) 743
tetradecimal (14) 646
pentadecimal (15) 578

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
In other modern scripts
Eastern Arabic ١٢٣٨ Devanagari १२३८ Bengali ১২৩৮ Tamil ௧௨௩௮ Thai ๑๒๓๘ Tibetan ༡༢༣༨ Khmer ១២៣៨ Lao ໑໒໓໘ Burmese ၁၂၃၈

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 decomposition

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.

Unicode codepoint
Ӗ
Cyrillic Capital Letter Ie With Breve
U+04D6
Uppercase letter (Lu)

UTF-8 encoding: D3 96 (2 bytes).

Hex color
#0004D6
RGB(0, 4, 214)
IPv4 address

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.

Position in π

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.