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Number

39

39 is a composite number, odd, a calendar year.

39 (thirty-nine) is an odd 2-digit number. It is a composite number with 4 divisors, and factors as 3 × 13. Written other ways, in Roman numerals it is XXXIX and in binary, 100111.

Arithmetic Number Cube-Free Deficient Number Evil Number Perrin Number Preferred Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

7 notable facts · grade B
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Historical context — 39 AD

Calendar year

AD 39 (XXXIX) was a common year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 39 BC

Calendar year

Year 39 BC was either a common year starting on Friday, Saturday or Sunday or a leap year starting on Saturday of the Julian calendar and a common year starting on Saturday of the Proleptic Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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
Saturday
January 1, 39
Ended on
Saturday
December 31, 39
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
1,987
1987 years before 2026.

In other calendars

Hebrew
3799 / 3800 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Pig
Sexagenary cycle position 36 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
582 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
31 / 32 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-39 / -40 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
12
Digit product
27
Digital root
3
Palindrome
No
Bit width
6 bits
Reversed
93
Recamán's sequence
a(38) = 39
Square (n²)
1,521
Cube (n³)
59,319
Divisor count
4
σ(n) — sum of divisors
56
φ(n) — Euler's totient
24
Sum of prime factors
16

Primality

Prime factorization: 3 × 13

Nearest primes: 37 (−2) · 41 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 13 · 39
Aliquot sum (sum of proper divisors): 17
Factor pairs (a × b = 39)
1 × 39
3 × 13
First multiples
39 · 78 (double) · 117 · 156 · 195 · 234 · 273 · 312 · 351 · 390

Sums & aliquot sequence

As consecutive integers: 19 + 20 12 + 13 + 14 4 + 5 + 6 + 7 + 8 + 9
Aliquot sequence: 39 17 1 0 — terminates at zero

Continued fraction of √n

√39 = [6; (4, 12)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
thirty-nine
Ordinal
39th
Roman numeral
XXXIX
Binary
100111
Octal
47
Hexadecimal
0x27
Base64
Jw==
One's complement
216 (8-bit)
Scientific notation
3.9 × 10¹
In other bases
ternary (3) 1110
quaternary (4) 213
quinary (5) 124
senary (6) 103
septenary (7) 54
nonary (9) 43
undecimal (11) 36
duodecimal (12) 33
tridecimal (13) 30
tetradecimal (14) 2b
pentadecimal (15) 29

As an angle

39°
39° ≈ 0.681 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
λθʹ
Mayan (base 20)
𝋡·𝋳
Chinese
三十九
Chinese (financial)
參拾玖
In other modern scripts
Eastern Arabic ٣٩ Devanagari ३९ Bengali ৩৯ Tamil ௩௯ Thai ๓๙ Tibetan ༣༩ Khmer ៣៩ Lao ໓໙ Burmese ၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 39 = 9
e — Euler's number (e)
Digit 39 = 5
φ — Golden ratio (φ)
Digit 39 = 2
√2 — Pythagoras's (√2)
Digit 39 = 6
ln 2 — Natural log of 2
Digit 39 = 7
γ — Euler-Mascheroni (γ)
Digit 39 = 4

Also seen as

ASCII character

As an ASCII codepoint, 39 is '. Printable ASCII character '.

Hex color
#000027
RGB(0, 0, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.39.

Address
0.0.0.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.39

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

US numbered highway

Matches numbered highway designation:

  • I-39 — Normal, IL to Wausau, WI.
Musical pitch

Heard as a frequency, 39 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯1 (38.9 Hz, +5¢)
  • Scientific pitch (C4 = 256 Hz): D♯1 (38.1 Hz, +42¢)
  • Baroque pitch (A4 = 415 Hz): E1 (38.9 Hz, +6¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 39 is D♯2 (77.8 Hz at concert pitch). (very low — many laptop and phone speakers can't reproduce it)

Atomic number

On the periodic table, atomic number 39 is Yttrium (Y) — period 5.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.