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Number

55

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

55 (fifty-five) is an odd 2-digit number. It is a composite number with 4 divisors, and factors as 5 × 11. It is the tenth triangular number and a Fibonacci number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is LV and in binary, 110111.

Arithmetic Number Cube-Free Deficient Number Fibonacci Heptagonal Kaprekar Number Odious Number Palindrome Pernicious Number Recamán's Sequence Repdigit Semiprime Square Pyramidal Squarefree Triangular Year

Interestingness

12 notable facts · grade A
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Historical context — 55 AD

Calendar year

AD 55 (LV) was a common year starting on Wednesday of the Julian calendar.

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

Notable events — 55 BC

  1. Aug 26 Julius Caesar makes his first expedition to Britain.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Friday
January 1, 55
Ended on
Friday
December 31, 55
Friday the 13ths
1
One Friday the 13th this year.
Decade
50s
50–59
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,971
1971 years before 2026.

In other calendars

Hebrew
3815 / 3816 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Rabbit
Sexagenary cycle position 52 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
598 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
47 / 48 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-23 / -24 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
10
Digit product
25
Digital root
1
Palindrome
Yes
Bit width
6 bits
Recamán's sequence
a(206) = 55
Square (n²)
3,025
Cube (n³)
166,375
Divisor count
4
σ(n) — sum of divisors
72
φ(n) — Euler's totient
40
Sum of prime factors
16

Primality

Prime factorization: 5 × 11

Nearest primes: 53 (−2) · 59 (+4)

Divisors & multiples

All divisors (4)
1 · 5 · 11 · 55
Aliquot sum (sum of proper divisors): 17
Factor pairs (a × b = 55)
1 × 55
5 × 11
First multiples
55 · 110 (double) · 165 · 220 · 275 · 330 · 385 · 440 · 495 · 550

Sums & aliquot sequence

As consecutive integers: 27 + 28 9 + 10 + 11 + 12 + 13 1 + 2 + … + 10
Aliquot sequence: 55 17 1 0 — terminates at zero

Continued fraction of √n

√55 = [7; (2, 2, 2, 14)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
fifty-five
Ordinal
55th
Roman numeral
LV
Binary
110111
Octal
67
Hexadecimal
0x37
Base64
Nw==
One's complement
200 (8-bit)
Scientific notation
5.5 × 10¹
In other bases
ternary (3) 2001
quaternary (4) 313
quinary (5) 210
senary (6) 131
septenary (7) 106
nonary (9) 61
undecimal (11) 50
duodecimal (12) 47
tridecimal (13) 43
tetradecimal (14) 3d
pentadecimal (15) 3a
Palindromic in base 4, base 6

As an angle

55°
55° ≈ 0.96 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
νεʹ
Mayan (base 20)
𝋢·𝋯
Chinese
五十五
Chinese (financial)
伍拾伍
In other modern scripts
Eastern Arabic ٥٥ Devanagari ५५ Bengali ৫৫ Tamil ௫௫ Thai ๕๕ Tibetan ༥༥ Khmer ៥៥ Lao ໕໕ Burmese ၅၅

Digit at this position in famous constants

π — Pi (π)
Digit 55 = 0
e — Euler's number (e)
Digit 55 = 4
φ — Golden ratio (φ)
Digit 55 = 2
√2 — Pythagoras's (√2)
Digit 55 = 3
ln 2 — Natural log of 2
Digit 55 = 4
γ — Euler-Mascheroni (γ)
Digit 55 = 8

Also seen as

ASCII character

As an ASCII codepoint, 55 is 7. Printable ASCII character 7.

Hex color
#000037
RGB(0, 0, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.55.

Address
0.0.0.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.55

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

US numbered highway

Matches numbered highway designation:

  • I-55 — LaPlace, LA to Chicago, IL.
Musical pitch

Heard as a frequency, 55 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A1 (55 Hz, exact)
  • Scientific pitch (C4 = 256 Hz): A1 (53.8 Hz, +38¢)
  • Baroque pitch (A4 = 415 Hz): A♯1 (55 Hz, +1¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 55 is G3 (196 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 55 is Caesium (Cs) — period 6.

Related reading

  • Fibonacci numbers — The sequence where each term is the sum of the two before it — and why it turns up everywhere.
  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.