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Number

38

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

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 38 AD

Calendar year

AD 38 (XXXVIII) was a common year starting on Wednesday of the Julian calendar.

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Historical context — 38 BC

Calendar year

Year 38 BC was either a common year starting on Sunday or Monday or a leap year starting on Saturday, Sunday or Monday of the Julian calendar and a common year starting on Sunday of the Proleptic 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, 38
Ended on
Friday
December 31, 38
Friday the 13ths
1
One Friday the 13th this year.
Decade
30s
30–39
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,988
1988 years before 2026.

In other calendars

Hebrew
3798 / 3799 AM
Rosh Hashanah falls in September/October.
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
581 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
30 / 31 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-40 / -41 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
6 bits
Reversed
83
Recamán's sequence
a(40) = 38
Square (n²)
1,444
Cube (n³)
54,872
Divisor count
4
σ(n) — sum of divisors
60
φ(n) — Euler's totient
18
Sum of prime factors
21

Primality

Prime factorization: 2 × 19

Nearest primes: 37 (−1) · 41 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 19 (half) · 38
Aliquot sum (sum of proper divisors): 22
Factor pairs (a × b = 38)
1 × 38
2 × 19
First multiples
38 · 76 (double) · 114 · 152 · 190 · 228 · 266 · 304 · 342 · 380

Sums & aliquot sequence

As consecutive integers: 8 + 9 + 10 + 11
Aliquot sequence: 38 22 14 10 8 7 1 0 — terminates at zero

Continued fraction of √n

√38 = [6; (6, 12)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
thirty-eight
Ordinal
38th
Roman numeral
XXXVIII
Binary
100110
Octal
46
Hexadecimal
0x26
Base64
Jg==
One's complement
217 (8-bit)
Scientific notation
3.8 × 10¹
In other bases
ternary (3) 1102
quaternary (4) 212
quinary (5) 123
senary (6) 102
septenary (7) 53
nonary (9) 42
undecimal (11) 35
duodecimal (12) 32
tridecimal (13) 2c
tetradecimal (14) 2a
pentadecimal (15) 28
Palindromic in base 4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ληʹ
Mayan (base 20)
𝋡·𝋲
Chinese
三十八
Chinese (financial)
參拾捌
In other modern scripts
Eastern Arabic ٣٨ Devanagari ३८ Bengali ৩৮ Tamil ௩௮ Thai ๓๘ Tibetan ༣༨ Khmer ៣៨ Lao ໓໘ Burmese ၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 38 = 1
e — Euler's number (e)
Digit 38 = 7
φ — Golden ratio (φ)
Digit 38 = 7
√2 — Pythagoras's (√2)
Digit 38 = 5
ln 2 — Natural log of 2
Digit 38 = 0
γ — Euler-Mascheroni (γ)
Digit 38 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 38, here are decompositions:

  • 7 + 31 = 38
  • 19 + 19 = 38
ASCII character

As an ASCII codepoint, 38 is &. Printable ASCII character &.

Hex color
#000026
RGB(0, 0, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.38.

Address
0.0.0.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.38

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

Geographic coordinate

As a geographic coordinate in degrees, this matches:

  • 38th parallel (latitude) — The post-WWII division of Korea; also passes through Washington, D.C. (approximately).
Calculator-display word

Type 38 on a seven-segment calculator, flip it 180°, and the display reads:

BE

A staple of calculator humor since pocket calculators put digits in front of bored students.

Musical pitch

Heard as a frequency, 38 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯1 (-40¢)
  • Scientific pitch (C4 = 256 Hz): D♯1 (-2¢)
Atomic number

On the periodic table, atomic number 38 is Strontium (Sr) — period 5.