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Number

37

37 is a prime, odd, a calendar year.

37 (thirty-seven) is an odd 2-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is XXXVII and in binary, 100101.

Arithmetic Number Centered Hexagonal Chen Prime Circular Prime Cousin Prime Cuban Prime Cube-Free Deficient Number Emirp Lazy Caterer Number Left-Truncatable Prime Odious Number Padovan Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Right-Truncatable Prime Sexy Prime Squarefree Star Number Year

Interestingness

18 notable facts · grade A
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Historical context — 37 AD

Calendar year

AD 37 (XXXVII) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 37 BC

Calendar year

Year 37 BC was either a common year starting on Monday, Tuesday or Wednesday or a leap year starting on Monday or Tuesday of the Julian calendar and a leap year starting on Monday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 37
Ended on
Thursday
December 31, 37
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
30s
30–39
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,989
1989 years before 2026.

In other calendars

Hebrew
3797 / 3798 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Rooster
Sexagenary cycle position 34 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
580 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
29 / 30 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-41 / -42 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
10
Digit product
21
Digital root
1
Palindrome
No
Bit width
6 bits
Reversed
73
Recamán's sequence
a(42) = 37
Square (n²)
1,369
Cube (n³)
50,653
Divisor count
2
σ(n) — sum of divisors
38
φ(n) — Euler's totient
36

Primality

37 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 37
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 37)
1 × 37
First multiples
37 · 74 (double) · 111 · 148 · 185 · 222 · 259 · 296 · 333 · 370

Sums & aliquot sequence

As a sum of two squares: 1² + 6²
As consecutive integers: 18 + 19

Continued fraction of √n

√37 = [6; (12)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
thirty-seven
Ordinal
37th
Roman numeral
XXXVII
Binary
100101
Octal
45
Hexadecimal
0x25
Base64
JQ==
One's complement
218 (8-bit)
Scientific notation
3.7 × 10¹
In other bases
ternary (3) 1101
quaternary (4) 211
quinary (5) 122
senary (6) 101
septenary (7) 52
nonary (9) 41
undecimal (11) 34
duodecimal (12) 31
tridecimal (13) 2b
tetradecimal (14) 29
pentadecimal (15) 27
Palindromic in base 6

As an angle

37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
λζʹ
Mayan (base 20)
𝋡·𝋱
Chinese
三十七
Chinese (financial)
參拾柒
In other modern scripts
Eastern Arabic ٣٧ Devanagari ३७ Bengali ৩৭ Tamil ௩௭ Thai ๓๗ Tibetan ༣༧ Khmer ៣៧ Lao ໓໗ Burmese ၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 37 = 4
e — Euler's number (e)
Digit 37 = 7
φ — Golden ratio (φ)
Digit 37 = 7
√2 — Pythagoras's (√2)
Digit 37 = 8
ln 2 — Natural log of 2
Digit 37 = 8
γ — Euler-Mascheroni (γ)
Digit 37 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 31 (gap of 6)
  • Next prime: 41 (gap of 4)

Pair status: cousin with 41, sexy with 31.

ASCII character

As an ASCII codepoint, 37 is %. Printable ASCII character %.

Code page identifier

Code page 37 is EBCDIC US/Canada — IBM mainframe character encoding.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Hex color
#000025
RGB(0, 0, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.37.

Address
0.0.0.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.37

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

US numbered highway

Matches numbered highway designation:

  • I-37 — Corpus Christi to San Antonio, TX.
Musical pitch

Heard as a frequency, 37 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D1 (36.7 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): D♯1 (38.1 Hz, -49¢ — about midway to D1)
  • Baroque pitch (A4 = 415 Hz): D♯1 (36.7 Hz, +15¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 37 is C♯2 (69.3 Hz at concert pitch). (very low — many laptop and phone speakers can't reproduce it)

Atomic number

On the periodic table, atomic number 37 is Rubidium (Rb) — period 5.

Temperature

37 °C is normal human body temperature (about 98.6 °F).

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.