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Number

163

163 is a prime, odd, a calendar year.

163 (one hundred sixty-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CLXIII and in binary, 10100011.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

7 notable facts · grade B
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Historical context — 163 AD

Calendar year

Year 163 (CLXIII) was a common year starting on Friday of the Julian calendar.

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

Historical context — 163 BC

Calendar year

Year 163 BC was a year of the pre-Julian Roman 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, 163
Ended on
Saturday
December 31, 163
Friday the 13ths
1
One Friday the 13th this year.
Decade
160s
160–169
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,863
1863 years before 2026.

In other calendars

Hebrew
3923 / 3924 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
706 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
155 / 156 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
85 / 84 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
10
Digit product
18
Digital root
1
Palindrome
No
Bit width
8 bits
Reversed
361
Recamán's sequence
a(98) = 163
Square (n²)
26,569
Cube (n³)
4,330,747
Divisor count
2
σ(n) — sum of divisors
164
φ(n) — Euler's totient
162

Primality

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

Divisors & multiples

All divisors (2)
1 · 163
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 163)
1 × 163
First multiples
163 · 326 (double) · 489 · 652 · 815 · 978 · 1,141 · 1,304 · 1,467 · 1,630

Sums & aliquot sequence

As consecutive integers: 81 + 82

Continued fraction of √n

√163 = [12; (1, 3, 3, 2, 1, 1, 7, 1, 11, 1, 7, 1, 1, 2, 3, 3, 1, 24)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-three
Ordinal
163rd
Roman numeral
CLXIII
Binary
10100011
Octal
243
Hexadecimal
0xA3
Base64
ow==
One's complement
92 (8-bit)
Scientific notation
1.63 × 10²
As a duration
163 s = 2 minutes, 43 seconds
In other bases
ternary (3) 20001
quaternary (4) 2203
quinary (5) 1123
senary (6) 431
septenary (7) 322
nonary (9) 201
undecimal (11) 139
duodecimal (12) 117
tridecimal (13) c7
tetradecimal (14) b9
pentadecimal (15) ad

As an angle

163°
163° ≈ 2.845 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
ρξγʹ
Mayan (base 20)
𝋨·𝋣
Chinese
一百六十三
Chinese (financial)
壹佰陸拾參
In other modern scripts
Eastern Arabic ١٦٣ Devanagari १६३ Bengali ১৬৩ Tamil ௧௬௩ Thai ๑๖๓ Tibetan ༡༦༣ Khmer ១៦៣ Lao ໑໖໓ Burmese ၁၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 163 = 4
e — Euler's number (e)
Digit 163 = 2
φ — Golden ratio (φ)
Digit 163 = 9
√2 — Pythagoras's (√2)
Digit 163 = 2
ln 2 — Natural log of 2
Digit 163 = 7
γ — Euler-Mascheroni (γ)
Digit 163 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 157 (gap of 6)
  • Next prime: 167 (gap of 4)

Pair status: cousin with 167, sexy with 157.

Unicode codepoint
£
Pound Sign
U+00A3
Currency symbol (Sc)

UTF-8 encoding: C2 A3 (2 bytes).

Hex color
#0000A3
RGB(0, 0, 163)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.163.

Address
0.0.0.163
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.163

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

Musical pitch

Heard as a frequency, 163 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E3 (164.8 Hz, -19¢)
  • Scientific pitch (C4 = 256 Hz): E3 (161.3 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): F3 (164.7 Hz, -18¢)
Food additive (E-number)

On an ingredients label, E163 is Anthocyanins, a food colour — the purple-red of berries and red cabbage.

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.