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Number

103

103 is a prime, odd, a calendar year.

103 (one hundred 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 CIII and in binary, 1100111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Interestingness

9 notable facts · grade A
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Historical context — 103 AD

Calendar year

103 (CIII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 103 BC

Calendar year

Year 103 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
Monday
January 1, 103
Ended on
Monday
December 31, 103
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
100s
100–109
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,923
1923 years before 2026.

In other calendars

Hebrew
3863 / 3864 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
646 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
95 / 96 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
25 / 24 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
7 bits
Reversed
301
Recamán's sequence
a(381) = 103
Square (n²)
10,609
Cube (n³)
1,092,727
Divisor count
2
σ(n) — sum of divisors
104
φ(n) — Euler's totient
102

Primality

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

Divisors & multiples

All divisors (2)
1 · 103
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 103)
1 × 103
First multiples
103 · 206 (double) · 309 · 412 · 515 · 618 · 721 · 824 · 927 · 1,030

Sums & aliquot sequence

As consecutive integers: 51 + 52

Continued fraction of √n

√103 = [10; (6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred three
Ordinal
103rd
Roman numeral
CIII
Binary
1100111
Octal
147
Hexadecimal
0x67
Base64
Zw==
One's complement
152 (8-bit)
Scientific notation
1.03 × 10²
As a duration
103 s = 1 minute, 43 seconds
In other bases
ternary (3) 10211
quaternary (4) 1213
quinary (5) 403
senary (6) 251
septenary (7) 205
nonary (9) 124
undecimal (11) 94
duodecimal (12) 87
tridecimal (13) 7c
tetradecimal (14) 75
pentadecimal (15) 6d

As an angle

103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓏺𓏺𓏺
Greek (Milesian)
ργʹ
Mayan (base 20)
𝋥·𝋣
Chinese
一百零三
Chinese (financial)
壹佰零參
In other modern scripts
Eastern Arabic ١٠٣ Devanagari १०३ Bengali ১০৩ Tamil ௧௦௩ Thai ๑๐๓ Tibetan ༡༠༣ Khmer ១០៣ Lao ໑໐໓ Burmese ၁၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 103 = 2
e — Euler's number (e)
Digit 103 = 7
φ — Golden ratio (φ)
Digit 103 = 4
√2 — Pythagoras's (√2)
Digit 103 = 5
ln 2 — Natural log of 2
Digit 103 = 2
γ — Euler-Mascheroni (γ)
Digit 103 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 101 (gap of 2)
  • Next prime: 107 (gap of 4)

Pair status: twin with 101, cousin with 107.

ASCII character

As an ASCII codepoint, 103 is g. Printable ASCII character g.

Hex color
#000067
RGB(0, 0, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.103.

Address
0.0.0.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.103

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

Musical pitch

Heard as a frequency, 103 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯2 (103.8 Hz, -14¢)
  • Scientific pitch (C4 = 256 Hz): G♯2 (101.6 Hz, +24¢)
  • Baroque pitch (A4 = 415 Hz): A2 (103.8 Hz, -13¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 103 is G7 (3136 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 103 is Lawrencium (Lr) — period 7.

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.