Number

1,663

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

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

Notable events — 1663 AD

Sep 9 King Philip's War predecessor: Ottoman vizier Köprülü Ahmed leads campaigns into Hungary.
Mar 24 Charles II grants the Carolina charter.
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

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)

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

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

Arabic Letter Teheh

U+067F

Other letter (Lo)

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

Lookup U+067F on Compart ↗ Lookup on FileFormat.Info ↗

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.

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.

Look up 1663 on Pi Search ↗