Number

59

59 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Twin Prime Year

Historical context — 59 AD

Calendar year

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

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Historical context — 59 BC

Calendar year

Year 59 BC was a year of the pre-Julian Roman calendar.

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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

Representations

In words: fifty-nine
Ordinal: 59th
Roman numeral: LIX
Binary: 111011
Octal: 73
Hexadecimal: 0x3B
Base64: Ow==
One's complement: 196 (8-bit)

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

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.

Interstate 59 on Wikipedia ↗