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Number

431

431 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Descending Digits Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime Year

Historical context — 431 AD

Calendar year

Year 431 (CDXXXI) was a common year starting on Thursday of the Julian calendar.

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

Notable events — 431 BC

Undated Sparta invades Attica, beginning the Peloponnesian 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: Wednesday
January 1, 431
Ended on: Wednesday
December 31, 431
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 430s
430–439
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,595
1595 years before 2026.

In other calendars

Hebrew: 4191 / 4192 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 974 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 423 / 424 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 353 / 352 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 8
Digit product: 12
Digital root: 8
Palindrome: No
Bit width: 9 bits
Reversed: 134
Recamán's sequence: a(4,781) = 431
Square (n²): 185,761
Cube (n³): 80,062,991
Divisor count: 2
σ(n) — sum of divisors: 432
φ(n) — Euler's totient: 430

Primality

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

Divisors & multiples

All divisors (2)

1 · 431

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 431)

1 × 431

First multiples

431 · 862 (double) · 1,293 · 1,724 · 2,155 · 2,586 · 3,017 · 3,448 · 3,879 · 4,310

Sums & aliquot sequence

As consecutive integers: 215 + 216

Representations

In words: four hundred thirty-one
Ordinal: 431st
Roman numeral: CDXXXI
Binary: 110101111
Octal: 657
Hexadecimal: 0x1AF
Base64: Aa8=
One's complement: 65,104 (16-bit)

In other bases

ternary (3) 120222

quaternary (4) 12233

quinary (5) 3211

senary (6) 1555

septenary (7) 1154

nonary (9) 528

undecimal (11) 362

duodecimal (12) 2bb

tridecimal (13) 272

tetradecimal (14) 22b

pentadecimal (15) 1db

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): υλαʹ
Mayan (base 20): 𝋡·𝋡·𝋫
Chinese: 四百三十一
Chinese (financial): 肆佰參拾壹

In other modern scripts

Eastern Arabic ٤٣١ Devanagari ४३१ Bengali ৪৩১ Tamil ௪௩௧ Thai ๔๓๑ Tibetan ༤༣༡ Khmer ៤៣១ Lao ໔໓໑ Burmese ၄၃၁

Digit at this position in famous constants

π — Pi (π): Digit 431 = 3
e — Euler's number (e): Digit 431 = 2
φ — Golden ratio (φ): Digit 431 = 2
√2 — Pythagoras's (√2): Digit 431 = 7
ln 2 — Natural log of 2: Digit 431 = 5
γ — Euler-Mascheroni (γ): Digit 431 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 421 (gap of 10)
Next prime: 433 (gap of 2)

Pair status: twin with 433.

Unicode codepoint

Ư

Latin Capital Letter U With Horn

U+01AF

Uppercase letter (Lu)

UTF-8 encoding: C6 AF (2 bytes).

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

Hex color

#0001AF

RGB(0, 1, 175)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.175.

Address: 0.0.1.175
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.175

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

NANP area code 431

The number 431 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Manitoba
Country: Canada

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 431 ↗