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Number

467

467 is a prime, odd, a calendar year.

467 (four hundred sixty-seven) 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 CDLXVII and in binary, 111010011.

Arithmetic Number Ascending Digits Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Left-Truncatable Prime Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Year

Interestingness

11 notable facts · grade A
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Historical context — 467 AD

Calendar year

Year 467 (CDLXVII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 467 BC

Calendar year

Year 467 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, 467
Ended on
Saturday
December 31, 467
Friday the 13ths
1
One Friday the 13th this year.
Decade
460s
460–469
Century
5th century
401–500
Millennium
1st millennium
1–1000
Years ago
1,559
1559 years before 2026.

In other calendars

Hebrew
4227 / 4228 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1010 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
459 / 460 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
389 / 388 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
17
Digit product
168
Digital root
8
Palindrome
No
Bit width
9 bits
Reversed
764
Recamán's sequence
a(434) = 467
Square (n²)
218,089
Cube (n³)
101,847,563
Divisor count
2
σ(n) — sum of divisors
468
φ(n) — Euler's totient
466

Primality

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

Divisors & multiples

All divisors (2)
1 · 467
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 467)
1 × 467
First multiples
467 · 934 (double) · 1,401 · 1,868 · 2,335 · 2,802 · 3,269 · 3,736 · 4,203 · 4,670

Sums & aliquot sequence

As consecutive integers: 233 + 234

Continued fraction of √n

√467 = [21; (1, 1, 1, 1, 3, 3, 21, 3, 3, 1, 1, 1, 1, 42)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven
Ordinal
467th
Roman numeral
CDLXVII
Binary
111010011
Octal
723
Hexadecimal
0x1D3
Base64
AdM=
One's complement
65,068 (16-bit)
Scientific notation
4.67 × 10²
As a duration
467 s = 7 minutes, 47 seconds
In other bases
ternary (3) 122022
quaternary (4) 13103
quinary (5) 3332
senary (6) 2055
septenary (7) 1235
nonary (9) 568
undecimal (11) 395
duodecimal (12) 32b
tridecimal (13) 29c
tetradecimal (14) 255
pentadecimal (15) 212
Palindromic in base 15

As an angle

467° = 1 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
υξζʹ
Mayan (base 20)
𝋡·𝋣·𝋧
Chinese
四百六十七
Chinese (financial)
肆佰陸拾柒
In other modern scripts
Eastern Arabic ٤٦٧ Devanagari ४६७ Bengali ৪৬৭ Tamil ௪௬௭ Thai ๔๖๗ Tibetan ༤༦༧ Khmer ៤៦៧ Lao ໔໖໗ Burmese ၄၆၇

Digit at this position in famous constants

π — Pi (π)
Digit 467 = 5
e — Euler's number (e)
Digit 467 = 9
φ — Golden ratio (φ)
Digit 467 = 6
√2 — Pythagoras's (√2)
Digit 467 = 4
ln 2 — Natural log of 2
Digit 467 = 7
γ — Euler-Mascheroni (γ)
Digit 467 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 463 (gap of 4)
  • Next prime: 479 (gap of 12)

Pair status: cousin with 463.

Unicode codepoint
Ǔ
Latin Capital Letter U With Caron
U+01D3
Uppercase letter (Lu)

UTF-8 encoding: C7 93 (2 bytes).

Hex color
#0001D3
RGB(0, 1, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.211.

Address
0.0.1.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.211

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

Musical pitch

Heard as a frequency, 467 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, +3¢)
  • Scientific pitch (C4 = 256 Hz): A♯4 (456.1 Hz, +41¢)
  • Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, +4¢)

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.