Number

963

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

Arithmetic Number Deficient Number Descending Digits Evil Number Recamán's Sequence Stepped Digits Year

Historical context — 963 AD

Calendar year

Year 963 (CMLXIII) was a common year starting on Thursday of the Julian calendar.

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Historical context — 963 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 BC.

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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, 963
Ended on: Saturday
December 31, 963
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,063
1063 years before 2026.

In other calendars

Hebrew: 4723 / 4724 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 351 / 352 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Pig
Sexagenary cycle position 60 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1506 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 341 / 342 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 955 / 956 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 885 / 884 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 18
Digit product: 162
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 369
Recamán's sequence: a(4,493) = 963
Square (n²): 927,369
Cube (n³): 893,056,347
Divisor count: 6
σ(n) — sum of divisors: 1,404
φ(n) — Euler's totient: 636
Sum of prime factors: 113

Primality

Prime factorization: 3 ² × 107

Nearest primes: 953 (−10) · 967 (+4)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 107 · 321 · 963

Aliquot sum (sum of proper divisors): 441

Factor pairs (a × b = 963)

1 × 963

3 × 321

9 × 107

First multiples

963 · 1,926 (double) · 2,889 · 3,852 · 4,815 · 5,778 · 6,741 · 7,704 · 8,667 · 9,630

Sums & aliquot sequence

As consecutive integers: 481 + 482 320 + 321 + 322 158 + 159 + 160 + 161 + 162 + 163 103 + 104 + … + 111

Aliquot sequence: 963 → 441 → 300 → 568 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: nine hundred sixty-three
Ordinal: 963rd
Roman numeral: CMLXIII
Binary: 1111000011
Octal: 1703
Hexadecimal: 0x3C3
Base64: A8M=
One's complement: 64,572 (16-bit)

In other bases

ternary (3) 1022200

quaternary (4) 33003

quinary (5) 12323

senary (6) 4243

septenary (7) 2544

nonary (9) 1280

undecimal (11) 7a6

duodecimal (12) 683

tridecimal (13) 591

tetradecimal (14) 4cb

pentadecimal (15) 443

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ϡξγʹ
Mayan (base 20): 𝋢·𝋨·𝋣
Chinese: 九百六十三
Chinese (financial): 玖佰陸拾參

In other modern scripts

Eastern Arabic ٩٦٣ Devanagari ९६३ Bengali ৯৬৩ Tamil ௯௬௩ Thai ๙๖๓ Tibetan ༩༦༣ Khmer ៩៦៣ Lao ໙໖໓ Burmese ၉၆၃

Digit at this position in famous constants

π — Pi (π): Digit 963 = 7
e — Euler's number (e): Digit 963 = 7
φ — Golden ratio (φ): Digit 963 = 8
√2 — Pythagoras's (√2): Digit 963 = 5
ln 2 — Natural log of 2: Digit 963 = 4
γ — Euler-Mascheroni (γ): Digit 963 = 3

Also seen as

Unicode codepoint

Greek Small Letter Sigma

U+03C3

Lowercase letter (Ll)

UTF-8 encoding: CF 83 (2 bytes).

Lookup U+03C3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C3

RGB(0, 3, 195)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.195.

Address: 0.0.3.195
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.195

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