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Number

1,303

1,303 is a prime, odd, a calendar year.

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

Historical context — 1303 AD

Calendar year

Year 1303 (MCCCIII) was a common year starting on Tuesday of the Julian 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, 1303
Ended on
Monday
December 31, 1303
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1300s
1300–1309
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
723
723 years before 2026.

In other calendars

Hebrew
5063 / 5064 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
702 / 703 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
1846 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
681 / 682 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1295 / 1296 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1225 / 1224 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
3,031
Recamán's sequence
a(30,442) = 1,303
Square (n²)
1,697,809
Cube (n³)
2,212,245,127
Divisor count
2
σ(n) — sum of divisors
1,304
φ(n) — Euler's totient
1,302

Primality

1,303 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1303
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,303)
1 × 1303
First multiples
1,303 · 2,606 (double) · 3,909 · 5,212 · 6,515 · 7,818 · 9,121 · 10,424 · 11,727 · 13,030

Sums & aliquot sequence

As consecutive integers: 651 + 652

Representations

In words
one thousand three hundred three
Ordinal
1303rd
Roman numeral
MCCCIII
Binary
10100010111
Octal
2427
Hexadecimal
0x517
Base64
BRc=
One's complement
64,232 (16-bit)
In other bases
ternary (3) 1210021
quaternary (4) 110113
quinary (5) 20203
senary (6) 10011
septenary (7) 3541
nonary (9) 1707
undecimal (11) a85
duodecimal (12) 907
tridecimal (13) 793
tetradecimal (14) 691
pentadecimal (15) 5bd

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵ατγʹ
Mayan (base 20)
𝋣·𝋥·𝋣
Chinese
一千三百零三
Chinese (financial)
壹仟參佰零參
In other modern scripts
Eastern Arabic ١٣٠٣ Devanagari १३०३ Bengali ১৩০৩ Tamil ௧௩௦௩ Thai ๑๓๐๓ Tibetan ༡༣༠༣ Khmer ១៣០៣ Lao ໑໓໐໓ Burmese ၁၃၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,303 = 3
e — Euler's number (e)
Digit 1,303 = 0
φ — Golden ratio (φ)
Digit 1,303 = 7
√2 — Pythagoras's (√2)
Digit 1,303 = 7
ln 2 — Natural log of 2
Digit 1,303 = 5
γ — Euler-Mascheroni (γ)
Digit 1,303 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,301 (gap of 2)
  • Next prime: 1,307 (gap of 4)

Pair status: twin with 1301, cousin with 1307.

Unicode codepoint
ԗ
Cyrillic Small Letter Rha
U+0517
Lowercase letter (Ll)

UTF-8 encoding: D4 97 (2 bytes).

Hex color
#000517
RGB(0, 5, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.23.

Address
0.0.5.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.23

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

Position in π

The digit sequence 1303 first appears in π at position 9,107 of the decimal expansion (the 9,107ordinal-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.