Number

259

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

259 (two hundred fifty-nine) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 7 × 37. Written other ways, in Roman numerals it is CCLIX and in binary, 100000011.

Arithmetic Number Ascending Digits Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271

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Historical context — 259 AD

Calendar year

Year 259 (CCLIX) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 259 BC

Calendar year

Year 259 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, 259
Ended on: Saturday
December 31, 259
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 250s
250–259
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,767
1767 years before 2026.

In other calendars

Hebrew: 4019 / 4020 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Rabbit
Sexagenary cycle position 16 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 802 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 251 / 252 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 181 / 180 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 16
Digit product: 90
Digital root: 7
Palindrome: No
Bit width: 9 bits
Reversed: 952
Recamán's sequence: a(121) = 259
Square (n²): 67,081
Cube (n³): 17,373,979
Divisor count: 4
σ(n) — sum of divisors: 304
φ(n) — Euler's totient: 216
Sum of prime factors: 44

Primality

Prime factorization: 7 × 37

Nearest primes: 257 (−2) · 263 (+4)

Divisors & multiples

All divisors (4)

1 · 7 · 37 · 259

Aliquot sum (sum of proper divisors): 45

Factor pairs (a × b = 259)

1 × 259

7 × 37

First multiples

259 · 518 (double) · 777 · 1,036 · 1,295 · 1,554 · 1,813 · 2,072 · 2,331 · 2,590

Sums & aliquot sequence

As consecutive integers: 129 + 130 34 + 35 + … + 40 12 + 13 + … + 25

Aliquot sequence: 259 → 45 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√259 = [16; (10, 1, 2, 3, 4, 3, 2, 1, 10, 32)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: two hundred fifty-nine
Ordinal: 259th
Roman numeral: CCLIX
Binary: 100000011
Octal: 403
Hexadecimal: 0x103
Base64: AQM=
One's complement: 65,276 (16-bit)
Scientific notation: 2.59 × 10²
As a duration: 259 s = 4 minutes, 19 seconds

In other bases

ternary (3) 100121

quaternary (4) 10003

quinary (5) 2014

senary (6) 1111

septenary (7) 520

nonary (9) 317

undecimal (11) 216

duodecimal (12) 197

tridecimal (13) 16c

tetradecimal (14) 147

pentadecimal (15) 124

Palindromic in base 6

As an angle

259°

259° ≈ 4.52 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): σνθʹ
Mayan (base 20): 𝋬·𝋳
Chinese: 二百五十九
Chinese (financial): 貳佰伍拾玖

In other modern scripts

Eastern Arabic ٢٥٩ Devanagari २५९ Bengali ২৫৯ Tamil ௨௫௯ Thai ๒๕๙ Tibetan ༢༥༩ Khmer ២៥៩ Lao ໒໕໙ Burmese ၂၅၉

Digit at this position in famous constants

π — Pi (π): Digit 259 = 6
e — Euler's number (e): Digit 259 = 0
φ — Golden ratio (φ): Digit 259 = 8
√2 — Pythagoras's (√2): Digit 259 = 9
ln 2 — Natural log of 2: Digit 259 = 0
γ — Euler-Mascheroni (γ): Digit 259 = 5

Also seen as

Unicode codepoint

Latin Small Letter A With Breve

U+0103

Lowercase letter (Ll)

UTF-8 encoding: C4 83 (2 bytes).

Lookup U+0103 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000103

RGB(0, 1, 3)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.3.

Address: 0.0.1.3
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.3

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

Musical pitch

Heard as a frequency, 259 Hz is closest to:

Concert pitch (A4 = 440 Hz): C4 (261.6 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): C4 (256 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): C♯4 (261.4 Hz, -16¢)