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Number

1,663

1,663 is a prime, odd, a calendar year.

1,663 (one thousand six hundred sixty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MDCLXIII and in binary, 11001111111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

Notable events — 1663 AD

  1. Sep 9 King Philip's War predecessor: Ottoman vizier Köprülü Ahmed leads campaigns into Hungary.
  2. Mar 24 Charles II grants the Carolina charter.
  3. Jul 27 England passes the second Navigation Act.

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
Monday
January 1, 1663
Ended on
Monday
December 31, 1663
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 25
Sunday, March 25, 1663
Decade
1660s
1660–1669
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
363
363 years before 2026.

In other calendars

Hebrew
5423 / 5424 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1073 / 1074 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
2206 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1041 / 1042 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1655 / 1656 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1585 / 1584 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
3,661
Recamán's sequence
a(794) = 1,663
Square (n²)
2,765,569
Cube (n³)
4,599,141,247
Divisor count
2
σ(n) — sum of divisors
1,664
φ(n) — Euler's totient
1,662

Primality

1,663 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1663
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,663)
1 × 1663
First multiples
1,663 · 3,326 (double) · 4,989 · 6,652 · 8,315 · 9,978 · 11,641 · 13,304 · 14,967 · 16,630

Sums & aliquot sequence

As consecutive integers: 831 + 832

Continued fraction of √n

√1,663 = [40; (1, 3, 1, 1, 5, 3, 1, 2, 2, 1, 1, 1, 12, 1, 26, 3, 1, 5, 1, 1, 11, 8, 1, 39, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one thousand six hundred sixty-three
Ordinal
1663rd
Roman numeral
MDCLXIII
Binary
11001111111
Octal
3177
Hexadecimal
0x67F
Base64
Bn8=
One's complement
63,872 (16-bit)
Scientific notation
1.663 × 10³
As a duration
1,663 s = 27 minutes, 43 seconds
In other bases
ternary (3) 2021121
quaternary (4) 121333
quinary (5) 23123
senary (6) 11411
septenary (7) 4564
nonary (9) 2247
undecimal (11) 1282
duodecimal (12) b67
tridecimal (13) 9ac
tetradecimal (14) 86b
pentadecimal (15) 75d
Palindromic in base 6

As an angle

1,663° = 4 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αχξγʹ
Mayan (base 20)
𝋤·𝋣·𝋣
Chinese
一千六百六十三
Chinese (financial)
壹仟陸佰陸拾參
In other modern scripts
Eastern Arabic ١٦٦٣ Devanagari १६६३ Bengali ১৬৬৩ Tamil ௧௬௬௩ Thai ๑๖๖๓ Tibetan ༡༦༦༣ Khmer ១៦៦៣ Lao ໑໖໖໓ Burmese ၁၆၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,663 = 2
e — Euler's number (e)
Digit 1,663 = 9
φ — Golden ratio (φ)
Digit 1,663 = 9
√2 — Pythagoras's (√2)
Digit 1,663 = 4
ln 2 — Natural log of 2
Digit 1,663 = 7
γ — Euler-Mascheroni (γ)
Digit 1,663 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,657 (gap of 6)
  • Next prime: 1,667 (gap of 4)

Pair status: cousin with 1667, sexy with 1657.

Unicode codepoint
ٿ
Arabic Letter Teheh
U+067F
Other letter (Lo)

UTF-8 encoding: D9 BF (2 bytes).

Hex color
#00067F
RGB(0, 6, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.127.

Address
0.0.6.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.127

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

Musical pitch

Heard as a frequency, 1,663 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +2¢)
  • Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, +39¢)
  • Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +3¢)
Position in π

The digit sequence 1663 first appears in π at position 15,597 of the decimal expansion (the 15,597ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.