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Number

291

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

291 (two hundred ninety-one) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 3 × 97. Written other ways, in Roman numerals it is CCXCI and in binary, 100100011.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

6 notable facts · grade B
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Historical context — 291 AD

Calendar year

Year 291 (CCXCI) was a common year starting on Thursday of the Julian calendar.

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

Historical context — 291 BC

Calendar year

Year 291 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 291
Ended on
Thursday
December 31, 291
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
290s
290–299
Century
3rd century
201–300
Millennium
1st millennium
1–1000
Years ago
1,735
1735 years before 2026.

In other calendars

Hebrew
4051 / 4052 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
834 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
283 / 284 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
213 / 212 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
12
Digit product
18
Digital root
3
Palindrome
No
Bit width
9 bits
Reversed
192
Recamán's sequence
a(666) = 291
Square (n²)
84,681
Cube (n³)
24,642,171
Divisor count
4
σ(n) — sum of divisors
392
φ(n) — Euler's totient
192
Sum of prime factors
100

Primality

Prime factorization: 3 × 97

Nearest primes: 283 (−8) · 293 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 97 · 291
Aliquot sum (sum of proper divisors): 101
Factor pairs (a × b = 291)
1 × 291
3 × 97
First multiples
291 · 582 (double) · 873 · 1,164 · 1,455 · 1,746 · 2,037 · 2,328 · 2,619 · 2,910

Sums & aliquot sequence

As consecutive integers: 145 + 146 96 + 97 + 98 46 + 47 + 48 + 49 + 50 + 51
Aliquot sequence: 291 101 1 0 — terminates at zero

Continued fraction of √n

√291 = [17; (17, 34)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
two hundred ninety-one
Ordinal
291st
Roman numeral
CCXCI
Binary
100100011
Octal
443
Hexadecimal
0x123
Base64
ASM=
One's complement
65,244 (16-bit)
Scientific notation
2.91 × 10²
As a duration
291 s = 4 minutes, 51 seconds
In other bases
ternary (3) 101210
quaternary (4) 10203
quinary (5) 2131
senary (6) 1203
septenary (7) 564
nonary (9) 353
undecimal (11) 245
duodecimal (12) 203
tridecimal (13) 195
tetradecimal (14) 16b
pentadecimal (15) 146
Palindromic in base 9

As an angle

291°
291° ≈ 5.079 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
σϟαʹ
Mayan (base 20)
𝋮·𝋫
Chinese
二百九十一
Chinese (financial)
貳佰玖拾壹
In other modern scripts
Eastern Arabic ٢٩١ Devanagari २९१ Bengali ২৯১ Tamil ௨௯௧ Thai ๒๙๑ Tibetan ༢༩༡ Khmer ២៩១ Lao ໒໙໑ Burmese ၂၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 291 = 6
e — Euler's number (e)
Digit 291 = 7
φ — Golden ratio (φ)
Digit 291 = 4
√2 — Pythagoras's (√2)
Digit 291 = 9
ln 2 — Natural log of 2
Digit 291 = 1
γ — Euler-Mascheroni (γ)
Digit 291 = 0

Also seen as

Unicode codepoint
ģ
Latin Small Letter G With Cedilla
U+0123
Lowercase letter (Ll)

UTF-8 encoding: C4 A3 (2 bytes).

Hex color
#000123
RGB(0, 1, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.35.

Address
0.0.1.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.35

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

Musical pitch

Heard as a frequency, 291 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D4 (293.7 Hz, -16¢)
  • Scientific pitch (C4 = 256 Hz): D4 (287.4 Hz, +22¢)
  • Baroque pitch (A4 = 415 Hz): D♯4 (293.4 Hz, -15¢)

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.