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Number

59

59 is a prime, odd, a calendar year.

59 (fifty-nine) 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 LIX and in binary, 111011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Right-Truncatable Prime Safe Prime Sexy Prime Squarefree Twin Prime Year

Interestingness

10 notable facts · grade A
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Historical context — 59 AD

Calendar year

AD 59 (LIX) was a common year starting on Monday of the Julian calendar.

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

Historical context — 59 BC

Calendar year

Year 59 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
Wednesday
January 1, 59
Ended on
Wednesday
December 31, 59
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
1,967
1967 years before 2026.

In other calendars

Hebrew
3819 / 3820 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Goat
Sexagenary cycle position 56 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
602 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
51 / 52 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-19 / -20 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
14
Digit product
45
Digital root
5
Palindrome
No
Bit width
6 bits
Reversed
95
Recamán's sequence
a(198) = 59
Square (n²)
3,481
Cube (n³)
205,379
Divisor count
2
σ(n) — sum of divisors
60
φ(n) — Euler's totient
58

Primality

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

Divisors & multiples

All divisors (2)
1 · 59
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 59)
1 × 59
First multiples
59 · 118 (double) · 177 · 236 · 295 · 354 · 413 · 472 · 531 · 590

Sums & aliquot sequence

As consecutive integers: 29 + 30

Continued fraction of √n

√59 = [7; (1, 2, 7, 2, 1, 14)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
fifty-nine
Ordinal
59th
Roman numeral
LIX
Binary
111011
Octal
73
Hexadecimal
0x3B
Base64
Ow==
One's complement
196 (8-bit)
Scientific notation
5.9 × 10¹
In other bases
ternary (3) 2012
quaternary (4) 323
quinary (5) 214
senary (6) 135
septenary (7) 113
nonary (9) 65
undecimal (11) 54
duodecimal (12) 4b
tridecimal (13) 47
tetradecimal (14) 43
pentadecimal (15) 3e
Palindromic in base 4

As an angle

59°
59° ≈ 1.03 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
νθʹ
Mayan (base 20)
𝋢·𝋳
Chinese
五十九
Chinese (financial)
伍拾玖
In other modern scripts
Eastern Arabic ٥٩ Devanagari ५९ Bengali ৫৯ Tamil ௫௯ Thai ๕๙ Tibetan ༥༩ Khmer ៥៩ Lao ໕໙ Burmese ၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 59 = 9
e — Euler's number (e)
Digit 59 = 9
φ — Golden ratio (φ)
Digit 59 = 4
√2 — Pythagoras's (√2)
Digit 59 = 6
ln 2 — Natural log of 2
Digit 59 = 6
γ — Euler-Mascheroni (γ)
Digit 59 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 53 (gap of 6)
  • Next prime: 61 (gap of 2)

Pair status: twin with 61, sexy with 53.

ASCII character

As an ASCII codepoint, 59 is ;. Printable ASCII character ;.

Hex color
#00003B
RGB(0, 0, 59)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.59.

Address
0.0.0.59
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.59

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

US numbered highway

Matches numbered highway designation:

  • I-59 — Slidell, LA to Wildwood, GA.
Musical pitch

Heard as a frequency, 59 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯1 (58.3 Hz, +22¢)
  • Scientific pitch (C4 = 256 Hz): B1 (60.4 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): B1 (58.2 Hz, +23¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 59 is B3 (246.9 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 59 is Praseodymium (Pr) — period 6.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.