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Number

838

838 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Palindrome Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 838 AD

Calendar year

Year 838 (DCCCXXXVIII) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 838 BC

Decade

This article concerns the period 839 BC – 830 BC.

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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, 838
Ended on
Friday
December 31, 838
Friday the 13ths
1
One Friday the 13th this year.
Decade
830s
830–839
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,188
1188 years before 2026.

In other calendars

Hebrew
4598 / 4599 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
223 / 224 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1381 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
216 / 217 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
830 / 831 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
760 / 759 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
19
Digit product
192
Digital root
1
Palindrome
Yes
Bit width
10 bits
Recamán's sequence
a(347) = 838
Square (n²)
702,244
Cube (n³)
588,480,472
Divisor count
4
σ(n) — sum of divisors
1,260
φ(n) — Euler's totient
418
Sum of prime factors
421

Primality

Prime factorization: 2 × 419

Nearest primes: 829 (−9) · 839 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 419 (half) · 838
Aliquot sum (sum of proper divisors): 422
Factor pairs (a × b = 838)
1 × 838
2 × 419
First multiples
838 · 1,676 (double) · 2,514 · 3,352 · 4,190 · 5,028 · 5,866 · 6,704 · 7,542 · 8,380

Sums & aliquot sequence

As consecutive integers: 208 + 209 + 210 + 211
Aliquot sequence: 838 422 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
eight hundred thirty-eight
Ordinal
838th
Roman numeral
DCCCXXXVIII
Binary
1101000110
Octal
1506
Hexadecimal
0x346
Base64
A0Y=
One's complement
64,697 (16-bit)
In other bases
ternary (3) 1011001
quaternary (4) 31012
quinary (5) 11323
senary (6) 3514
septenary (7) 2305
nonary (9) 1131
undecimal (11) 6a2
duodecimal (12) 59a
tridecimal (13) 4c6
tetradecimal (14) 43c
pentadecimal (15) 3ad

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ωληʹ
Mayan (base 20)
𝋢·𝋡·𝋲
Chinese
八百三十八
Chinese (financial)
捌佰參拾捌
In other modern scripts
Eastern Arabic ٨٣٨ Devanagari ८३८ Bengali ৮৩৮ Tamil ௮௩௮ Thai ๘๓๘ Tibetan ༨༣༨ Khmer ៨៣៨ Lao ໘໓໘ Burmese ၈၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 838 = 5
e — Euler's number (e)
Digit 838 = 0
φ — Golden ratio (φ)
Digit 838 = 6
√2 — Pythagoras's (√2)
Digit 838 = 7
ln 2 — Natural log of 2
Digit 838 = 0
γ — Euler-Mascheroni (γ)
Digit 838 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 838, here are decompositions:

  • 11 + 827 = 838
  • 17 + 821 = 838
  • 29 + 809 = 838
  • 41 + 797 = 838
  • 137 + 701 = 838
  • 179 + 659 = 838
  • 191 + 647 = 838
  • 197 + 641 = 838

Showing the first eight; more decompositions exist.

Unicode codepoint
͆
Combining Bridge Above
U+0346
Non-spacing mark (Mn)

UTF-8 encoding: CD 86 (2 bytes).

Hex color
#000346
RGB(0, 3, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.70.

Address
0.0.3.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.70

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