Number

1,363

1,363 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1363 AD

Calendar year

Year 1363 (MCCCLXIII) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 1363
Ended on: Saturday
December 31, 1363
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1360s
1360–1369
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 663
663 years before 2026.

In other calendars

Hebrew: 5123 / 5124 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 764 / 765 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: 1906 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 741 / 742 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1355 / 1356 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1285 / 1284 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 54
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 3,631
Recamán's sequence: a(8,402) = 1,363
Square (n²): 1,857,769
Cube (n³): 2,532,139,147
Divisor count: 4
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 1,288
Sum of prime factors: 76

Primality

Prime factorization: 29 × 47

Nearest primes: 1,361 (−2) · 1,367 (+4)

Divisors & multiples

All divisors (4)

1 · 29 · 47 · 1363

Aliquot sum (sum of proper divisors): 77

Factor pairs (a × b = 1,363)

1 × 1363

29 × 47

First multiples

1,363 · 2,726 (double) · 4,089 · 5,452 · 6,815 · 8,178 · 9,541 · 10,904 · 12,267 · 13,630

Sums & aliquot sequence

As consecutive integers: 681 + 682 33 + 34 + … + 61 6 + 7 + … + 52

Aliquot sequence: 1,363 → 77 → 19 → 1 → 0 — terminates at zero

Representations

In words: one thousand three hundred sixty-three
Ordinal: 1363rd
Roman numeral: MCCCLXIII
Binary: 10101010011
Octal: 2523
Hexadecimal: 0x553
Base64: BVM=
One's complement: 64,172 (16-bit)

In other bases

ternary (3) 1212111

quaternary (4) 111103

quinary (5) 20423

senary (6) 10151

septenary (7) 3655

nonary (9) 1774

undecimal (11) 102a

duodecimal (12) 957

tridecimal (13) 80b

tetradecimal (14) 6d5

pentadecimal (15) 60d

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ατξγʹ
Mayan (base 20): 𝋣·𝋨·𝋣
Chinese: 一千三百六十三
Chinese (financial): 壹仟參佰陸拾參

In other modern scripts

Eastern Arabic ١٣٦٣ Devanagari १३६३ Bengali ১৩৬৩ Tamil ௧௩௬௩ Thai ๑๓๖๓ Tibetan ༡༣༦༣ Khmer ១៣៦៣ Lao ໑໓໖໓ Burmese ၁၃၆၃

Digit at this position in famous constants

π — Pi (π): Digit 1,363 = 5
e — Euler's number (e): Digit 1,363 = 3
φ — Golden ratio (φ): Digit 1,363 = 2
√2 — Pythagoras's (√2): Digit 1,363 = 9
ln 2 — Natural log of 2: Digit 1,363 = 8
γ — Euler-Mascheroni (γ): Digit 1,363 = 7

Also seen as

Unicode codepoint

Armenian Capital Letter Piwr

U+0553

Uppercase letter (Lu)

UTF-8 encoding: D5 93 (2 bytes).

Lookup U+0553 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000553

RGB(0, 5, 83)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.83.

Address: 0.0.5.83
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.83

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

Position in π

The digit sequence 1363 first appears in π at position 2,080 of the decimal expansion (the 2,080ordinal-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 1363 on Pi Search ↗