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Number

32

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

Deficient Number Happy Number Leyland Number Odious Number Power of Two Powerful Number Practical Number Recamán's Sequence Year

Historical context — 32 AD

Calendar year

AD 32 (XXXII) was a leap year starting on Tuesday of the Julian calendar.

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Historical context — 32 BC

Calendar year

Year 32 BC was either a common year starting on Monday or Tuesday or a leap year starting on Sunday, Monday or Tuesday of the Julian calendar and a common year starting on Monday of the Proleptic Julian calendar.

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Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 32
Ended on
Friday
December 31, 32
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
30s
30–39
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,994
1994 years before 2026.

In other calendars

Hebrew
3792 / 3793 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
575 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
24 / 25 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-46 / -47 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
5
Digit product
6
Digital root
5
Palindrome
No
Bit width
6 bits
Reversed
23
Recamán's sequence
a(52) = 32
Square (n²)
1,024
Cube (n³)
32,768
Divisor count
6
σ(n) — sum of divisors
63
φ(n) — Euler's totient
16
Sum of prime factors
10

Primality

Prime factorization: 2 5

Nearest primes: 31 (−1) · 37 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 8 · 16 (half) · 32
Aliquot sum (sum of proper divisors): 31
Factor pairs (a × b = 32)
1 × 32
2 × 16
4 × 8
First multiples
32 · 64 (double) · 96 · 128 · 160 · 192 · 224 · 256 · 288 · 320

Sums & aliquot sequence

As a sum of two squares: 4² + 4²
Aliquot sequence: 32 31 1 0 — terminates at zero

Continued fraction of √n

√32 = [5; (1, 1, 1, 10)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
thirty-two
Ordinal
32nd
Roman numeral
XXXII
Binary
100000
Octal
40
Hexadecimal
0x20
Base64
IA==
One's complement
223 (8-bit)
Scientific notation
3.2 × 10¹
In other bases
ternary (3) 1012
quaternary (4) 200
quinary (5) 112
senary (6) 52
septenary (7) 44
nonary (9) 35
undecimal (11) 2a
duodecimal (12) 28
tridecimal (13) 26
tetradecimal (14) 24
pentadecimal (15) 22

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
λβʹ
Mayan (base 20)
𝋡·𝋬
Chinese
三十二
Chinese (financial)
參拾貳
In other modern scripts
Eastern Arabic ٣٢ Devanagari ३२ Bengali ৩২ Tamil ௩௨ Thai ๓๒ Tibetan ༣༢ Khmer ៣២ Lao ໓໒ Burmese ၃၂

Digit at this position in famous constants

π — Pi (π)
Digit 32 = 5
e — Euler's number (e)
Digit 32 = 6
φ — Golden ratio (φ)
Digit 32 = 6
√2 — Pythagoras's (√2)
Digit 32 = 6
ln 2 — Natural log of 2
Digit 32 = 1
γ — Euler-Mascheroni (γ)
Digit 32 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 32, here are decompositions:

  • 3 + 29 = 32
  • 13 + 19 = 32
ASCII character

As an ASCII codepoint, 32 is (space). Space character.

Hex color
#000020
RGB(0, 0, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.32.

Address
0.0.0.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.32

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

Musical pitch

Heard as a frequency, 32 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C1 (-38¢)
  • Scientific pitch (C4 = 256 Hz): C1 (exact)
Atomic number

On the periodic table, atomic number 32 is Germanium (Ge) — period 4.