Number

241

241 is a prime, odd, a calendar year.

241 (two hundred forty-one) 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 CCXLI and in binary, 11110001.

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

Interestingness

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7 notable facts · grade B

229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253

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Historical context — 241 AD

Calendar year

Year 241 (CCXLI) was a common year starting on Friday of the Julian calendar.

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

Notable events — 241 BC

Mar 10 Rome defeats Carthage at the Aegates Islands, ending the First Punic War.

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, 241
Ended on: Friday
December 31, 241
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 240s
240–249
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,785
1785 years before 2026.

In other calendars

Hebrew: 4001 / 4002 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Rooster
Sexagenary cycle position 58 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 784 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 233 / 234 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 163 / 162 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 7
Digit product: 8
Digital root: 7
Palindrome: No
Bit width: 8 bits
Reversed: 142
Recamán's sequence: a(261) = 241
Square (n²): 58,081
Cube (n³): 13,997,521
Divisor count: 2
σ(n) — sum of divisors: 242
φ(n) — Euler's totient: 240

Primality

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

Divisors & multiples

All divisors (2)

1 · 241

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 241)

1 × 241

First multiples

241 · 482 (double) · 723 · 964 · 1,205 · 1,446 · 1,687 · 1,928 · 2,169 · 2,410

Sums & aliquot sequence

As a sum of two squares: 4² + 15²

As consecutive integers: 120 + 121

Continued fraction of √n

√241 = [15; (1, 1, 9, 1, 5, 3, 3, 1, 1, 3, 3, 5, 1, 9, 1, 1, 30)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words: two hundred forty-one
Ordinal: 241st
Roman numeral: CCXLI
Binary: 11110001
Octal: 361
Hexadecimal: 0xF1
Base64: 8Q==
One's complement: 14 (8-bit)
Scientific notation: 2.41 × 10²
As a duration: 241 s = 4 minutes, 1 second

In other bases

ternary (3) 22221

quaternary (4) 3301

quinary (5) 1431

senary (6) 1041

septenary (7) 463

nonary (9) 287

undecimal (11) 1aa

duodecimal (12) 181

tridecimal (13) 157

tetradecimal (14) 133

pentadecimal (15) 111

Palindromic in base 12, base 15

As an angle

241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): σμαʹ
Mayan (base 20): 𝋬·𝋡
Chinese: 二百四十一
Chinese (financial): 貳佰肆拾壹

In other modern scripts

Eastern Arabic ٢٤١ Devanagari २४१ Bengali ২৪১ Tamil ௨௪௧ Thai ๒๔๑ Tibetan ༢༤༡ Khmer ២៤១ Lao ໒໔໑ Burmese ၂၄၁

Digit at this position in famous constants

π — Pi (π): Digit 241 = 5
e — Euler's number (e): Digit 241 = 4
φ — Golden ratio (φ): Digit 241 = 9
√2 — Pythagoras's (√2): Digit 241 = 8
ln 2 — Natural log of 2: Digit 241 = 5
γ — Euler-Mascheroni (γ): Digit 241 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 239 (gap of 2)
Next prime: 251 (gap of 10)

Pair status: twin with 239.

Unicode codepoint

Latin Small Letter N With Tilde

U+00F1

Lowercase letter (Ll)

UTF-8 encoding: C3 B1 (2 bytes).

Lookup U+00F1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000F1

RGB(0, 0, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.241.

Address: 0.0.0.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.241

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

Musical pitch

Heard as a frequency, 241 Hz is closest to:

Concert pitch (A4 = 440 Hz): B3 (246.9 Hz, -42¢)
Scientific pitch (C4 = 256 Hz): B3 (241.6 Hz, -5¢)
Baroque pitch (A4 = 415 Hz): C4 (246.8 Hz, -41¢)