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Number

1,963

1,963 is a composite number, odd, a calendar year.

1,963 (one thousand nine hundred sixty-three) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 13 × 151. Written other ways, in Roman numerals it is MCMLXIII and in binary, 11110101011.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Self Number Semiprime Squarefree Year

Interestingness

Notable events — 1963 AD

  1. Jun 16 Soviet cosmonaut Valentina Tereshkova becomes the first woman in space.
  2. Aug 5 The US, USSR, and UK sign the Partial Nuclear Test Ban Treaty.
  3. Aug 28 Martin Luther King Jr. delivers his “I Have a Dream” speech at the March on Washington.
  4. Nov 22 President John F. Kennedy is assassinated in Dallas.
  5. Nov 24 Lee Harvey Oswald is shot dead by Jack Ruby on live television.

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
Tuesday
January 1, 1963
Ended on
Tuesday
December 31, 1963
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 14
Sunday, April 14, 1963
Decade
1960s
1960–1969
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
63
63 years before 2026.

In other calendars

Hebrew
5723 / 5724 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1382 / 1383 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2506 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1341 / 1342 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1955 / 1956 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1885 / 1884 Saka
Indian national calendar; year starts in March.
Japanese
Shōwa 38
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
162
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
3,691
Recamán's sequence
a(3,825) = 1,963
Square (n²)
3,853,369
Cube (n³)
7,564,163,347
Divisor count
4
σ(n) — sum of divisors
2,128
φ(n) — Euler's totient
1,800
Sum of prime factors
164

Primality

Prime factorization: 13 × 151

Nearest primes: 1,951 (−12) · 1,973 (+10)

Divisors & multiples

All divisors (4)
1 · 13 · 151 · 1963
Aliquot sum (sum of proper divisors): 165
Factor pairs (a × b = 1,963)
1 × 1963
13 × 151
First multiples
1,963 · 3,926 (double) · 5,889 · 7,852 · 9,815 · 11,778 · 13,741 · 15,704 · 17,667 · 19,630

Sums & aliquot sequence

As consecutive integers: 981 + 982 145 + 146 + … + 157 63 + 64 + … + 88
Aliquot sequence: 1,963 165 123 45 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√1,963 = [44; (3, 3, 1, 2, 3, 2, 29, 9, 1, 4, 3, 4, 1, 9, 29, 2, 3, 2, 1, 3, 3, 88)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one thousand nine hundred sixty-three
Ordinal
1963rd
Roman numeral
MCMLXIII
Binary
11110101011
Octal
3653
Hexadecimal
0x7AB
Base64
B6s=
One's complement
63,572 (16-bit)
Scientific notation
1.963 × 10³
As a duration
1,963 s = 32 minutes, 43 seconds
In other bases
ternary (3) 2200201
quaternary (4) 132223
quinary (5) 30323
senary (6) 13031
septenary (7) 5503
nonary (9) 2621
undecimal (11) 1525
duodecimal (12) 1177
tridecimal (13) b80
tetradecimal (14) a03
pentadecimal (15) 8ad
Palindromic in base 6

As an angle

1,963° = 5 × 360° + 163°
163° ≈ 2.845 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αϡξγʹ
Mayan (base 20)
𝋤·𝋲·𝋣
Chinese
一千九百六十三
Chinese (financial)
壹仟玖佰陸拾參
In other modern scripts
Eastern Arabic ١٩٦٣ Devanagari १९६३ Bengali ১৯৬৩ Tamil ௧௯௬௩ Thai ๑๙๖๓ Tibetan ༡༩༦༣ Khmer ១៩៦៣ Lao ໑໙໖໓ Burmese ၁၉၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,963 = 3
e — Euler's number (e)
Digit 1,963 = 5
φ — Golden ratio (φ)
Digit 1,963 = 8
√2 — Pythagoras's (√2)
Digit 1,963 = 3
ln 2 — Natural log of 2
Digit 1,963 = 9
γ — Euler-Mascheroni (γ)
Digit 1,963 = 6

Also seen as

Unicode codepoint
ޫ
Thaana Ooboofili
U+07AB
Non-spacing mark (Mn)

UTF-8 encoding: DE AB (2 bytes).

Hex color
#0007AB
RGB(0, 7, 171)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.171.

Address
0.0.7.171
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.171

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

Musical pitch

Heard as a frequency, 1,963 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, -11¢)
  • Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, -10¢)
Position in π

The digit sequence 1963 first appears in π at position 4,805 of the decimal expansion (the 4,805ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading