Number

63

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

Deficient Number Evil Number Harshad / Niven Recamán's Sequence Woodall Number Year

Historical context — 63 AD

Calendar year

AD 63 (LXIII) was a common year starting on Saturday of the Julian calendar.

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Historical context — 63 BC

Calendar year

Year 63 BC was a year of the pre-Julian Roman calendar.

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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: Monday
January 1, 63
Ended on: Monday
December 31, 63
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 60s
60–69
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,963
1963 years before 2026.

In other calendars

Hebrew: 3823 / 3824 AM
Rosh Hashanah falls in September/October.
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: 606 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 55 / 56 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): -15 / -16 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 9
Digit product: 18
Digital root: 9
Palindrome: No
Bit width: 6 bits
Reversed: 36
Recamán's sequence: a(21) = 63
Square (n²): 3,969
Cube (n³): 250,047
Divisor count: 6
σ(n) — sum of divisors: 104
φ(n) — Euler's totient: 36
Sum of prime factors: 13

Primality

Prime factorization: 3 ² × 7

Nearest primes: 61 (−2) · 67 (+4)

Divisors & multiples

All divisors (6)

1 · 3 · 7 · 9 · 21 · 63

Aliquot sum (sum of proper divisors): 41

Factor pairs (a × b = 63)

1 × 63

3 × 21

7 × 9

First multiples

63 · 126 (double) · 189 · 252 · 315 · 378 · 441 · 504 · 567 · 630

Sums & aliquot sequence

As consecutive integers: 31 + 32 20 + 21 + 22 8 + 9 + 10 + 11 + 12 + 13 6 + 7 + … + 12

Aliquot sequence: 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: sixty-three
Ordinal: 63rd
Roman numeral: LXIII
Binary: 111111
Octal: 77
Hexadecimal: 0x3F
Base64: Pw==
One's complement: 192 (8-bit)

In other bases

ternary (3) 2100

quaternary (4) 333

quinary (5) 223

senary (6) 143

septenary (7) 120

nonary (9) 70

undecimal (11) 58

duodecimal (12) 53

tridecimal (13) 4b

tetradecimal (14) 47

pentadecimal (15) 43

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ξγʹ
Mayan (base 20): 𝋣·𝋣
Chinese: 六十三
Chinese (financial): 陸拾參

In other modern scripts

Eastern Arabic ٦٣ Devanagari ६३ Bengali ৬৩ Tamil ௬௩ Thai ๖๓ Tibetan ༦༣ Khmer ៦៣ Lao ໖໓ Burmese ၆၃

Digit at this position in famous constants

π — Pi (π): Digit 63 = 9
e — Euler's number (e): Digit 63 = 2
φ — Golden ratio (φ): Digit 63 = 2
√2 — Pythagoras's (√2): Digit 63 = 3
ln 2 — Natural log of 2: Digit 63 = 0
γ — Euler-Mascheroni (γ): Digit 63 = 3

Also seen as

ASCII character

As an ASCII codepoint, 63 is ?. Printable ASCII character ?.

Hex color

#00003F

RGB(0, 0, 63)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.63.

Address: 0.0.0.63
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.63

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