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Number

938

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

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 938 AD

Calendar year

Year 938 (CMXXXVIII) was a common year starting on Monday of the Julian calendar.

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Historical context — 938 BC

Decade

The 930s BC is a decade that lasted from 939 BC to 930 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
Wednesday
January 1, 938
Ended on
Wednesday
December 31, 938
Friday the 13ths
1
One Friday the 13th this year.
Decade
930s
930–939
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,088
1088 years before 2026.

In other calendars

Hebrew
4698 / 4699 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
326 / 327 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
1481 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
316 / 317 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
930 / 931 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
860 / 859 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
20
Digit product
216
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
839
Recamán's sequence
a(627) = 938
Square (n²)
879,844
Cube (n³)
825,293,672
Divisor count
8
σ(n) — sum of divisors
1,632
φ(n) — Euler's totient
396
Sum of prime factors
76

Primality

Prime factorization: 2 × 7 × 67

Nearest primes: 937 (−1) · 941 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 67 · 134 · 469 (half) · 938
Aliquot sum (sum of proper divisors): 694
Factor pairs (a × b = 938)
1 × 938
2 × 469
7 × 134
14 × 67
First multiples
938 · 1,876 (double) · 2,814 · 3,752 · 4,690 · 5,628 · 6,566 · 7,504 · 8,442 · 9,380

Sums & aliquot sequence

As consecutive integers: 233 + 234 + 235 + 236 131 + 132 + … + 137 20 + 21 + … + 47
Aliquot sequence: 938 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
nine hundred thirty-eight
Ordinal
938th
Roman numeral
CMXXXVIII
Binary
1110101010
Octal
1652
Hexadecimal
0x3AA
Base64
A6o=
One's complement
64,597 (16-bit)
In other bases
ternary (3) 1021202
quaternary (4) 32222
quinary (5) 12223
senary (6) 4202
septenary (7) 2510
nonary (9) 1252
undecimal (11) 783
duodecimal (12) 662
tridecimal (13) 572
tetradecimal (14) 4b0
pentadecimal (15) 428

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ϡληʹ
Mayan (base 20)
𝋢·𝋦·𝋲
Chinese
九百三十八
Chinese (financial)
玖佰參拾捌
In other modern scripts
Eastern Arabic ٩٣٨ Devanagari ९३८ Bengali ৯৩৮ Tamil ௯௩௮ Thai ๙๓๘ Tibetan ༩༣༨ Khmer ៩៣៨ Lao ໙໓໘ Burmese ၉၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 938 = 7
e — Euler's number (e)
Digit 938 = 2
φ — Golden ratio (φ)
Digit 938 = 8
√2 — Pythagoras's (√2)
Digit 938 = 9
ln 2 — Natural log of 2
Digit 938 = 1
γ — Euler-Mascheroni (γ)
Digit 938 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 938, here are decompositions:

  • 19 + 919 = 938
  • 31 + 907 = 938
  • 61 + 877 = 938
  • 79 + 859 = 938
  • 109 + 829 = 938
  • 127 + 811 = 938
  • 151 + 787 = 938
  • 181 + 757 = 938

Showing the first eight; more decompositions exist.

Unicode codepoint
Ϊ
Greek Capital Letter Iota With Dialytika
U+03AA
Uppercase letter (Lu)

UTF-8 encoding: CE AA (2 bytes).

Hex color
#0003AA
RGB(0, 3, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.170.

Address
0.0.3.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.170

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

NANP area code 938

The number 938 is an active NANP area code (North American Numbering Plan).

Primary area
Huntsville
Region
Alabama
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.