Number

461

461 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 461 AD

Calendar year

Year 461 (CDLXI) was a common year starting on Sunday of the Julian calendar.

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Notable events — 461 BC

Undated Pericles takes a leading role in Athenian politics, opening its golden age.

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: Saturday
January 1, 461
Ended on: Saturday
December 31, 461
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: 1,565
1565 years before 2026.

In other calendars

Hebrew: 4221 / 4222 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1004 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 453 / 454 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 383 / 382 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 11
Digit product: 24
Digital root: 2
Palindrome: No
Bit width: 9 bits
Reversed: 164
Recamán's sequence: a(446) = 461
Square (n²): 212,521
Cube (n³): 97,972,181
Divisor count: 2
σ(n) — sum of divisors: 462
φ(n) — Euler's totient: 460

Primality

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

Divisors & multiples

All divisors (2)

1 · 461

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 461)

1 × 461

First multiples

461 · 922 (double) · 1,383 · 1,844 · 2,305 · 2,766 · 3,227 · 3,688 · 4,149 · 4,610

Sums & aliquot sequence

As a sum of two squares: 10² + 19²

As consecutive integers: 230 + 231

Representations

In words: four hundred sixty-one
Ordinal: 461st
Roman numeral: CDLXI
Binary: 111001101
Octal: 715
Hexadecimal: 0x1CD
Base64: Ac0=
One's complement: 65,074 (16-bit)

In other bases

ternary (3) 122002

quaternary (4) 13031

quinary (5) 3321

senary (6) 2045

septenary (7) 1226

nonary (9) 562

undecimal (11) 38a

duodecimal (12) 325

tridecimal (13) 296

tetradecimal (14) 24d

pentadecimal (15) 20b

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): υξαʹ
Mayan (base 20): 𝋡·𝋣·𝋡
Chinese: 四百六十一
Chinese (financial): 肆佰陸拾壹

In other modern scripts

Eastern Arabic ٤٦١ Devanagari ४६१ Bengali ৪৬১ Tamil ௪௬௧ Thai ๔๖๑ Tibetan ༤༦༡ Khmer ៤៦១ Lao ໔໖໑ Burmese ၄၆၁

Digit at this position in famous constants

π — Pi (π): Digit 461 = 9
e — Euler's number (e): Digit 461 = 9
φ — Golden ratio (φ): Digit 461 = 1
√2 — Pythagoras's (√2): Digit 461 = 5
ln 2 — Natural log of 2: Digit 461 = 5
γ — Euler-Mascheroni (γ): Digit 461 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 457 (gap of 4)
Next prime: 463 (gap of 2)

Pair status: twin with 463, cousin with 457.

Unicode codepoint

Latin Capital Letter A With Caron

U+01CD

Uppercase letter (Lu)

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

Lookup U+01CD on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001CD

RGB(0, 1, 205)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.205.

Address: 0.0.1.205
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.205

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