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Number

1,023

1,023 is a composite number, odd, a calendar year.

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

Historical context — 1023 AD

Calendar year

Year 1023 (MXXIII) 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
Wednesday
January 1, 1023
Ended on
Wednesday
December 31, 1023
Friday the 13ths
1
One Friday the 13th this year.
Decade
1020s
1020–1029
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,003
1003 years before 2026.

In other calendars

Hebrew
4783 / 4784 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
413 / 414 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Pig
Sexagenary cycle position 60 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1566 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
401 / 402 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1015 / 1016 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
945 / 944 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
10 bits
Reversed
3,201
Recamán's sequence
a(4,373) = 1,023
Square (n²)
1,046,529
Cube (n³)
1,070,599,167
Divisor count
8
σ(n) — sum of divisors
1,536
φ(n) — Euler's totient
600
Sum of prime factors
45

Primality

Prime factorization: 3 × 11 × 31

Nearest primes: 1,021 (−2) · 1,031 (+8)

Divisors & multiples

All divisors (8)
1 · 3 · 11 · 31 · 33 · 93 · 341 · 1023
Aliquot sum (sum of proper divisors): 513
Factor pairs (a × b = 1,023)
1 × 1023
3 × 341
11 × 93
31 × 33
First multiples
1,023 · 2,046 (double) · 3,069 · 4,092 · 5,115 · 6,138 · 7,161 · 8,184 · 9,207 · 10,230

Sums & aliquot sequence

As consecutive integers: 511 + 512 340 + 341 + 342 168 + 169 + 170 + 171 + 172 + 173 88 + 89 + … + 98
Aliquot sequence: 1,023 513 287 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand twenty-three
Ordinal
1023rd
Roman numeral
MXXIII
Binary
1111111111
Octal
1777
Hexadecimal
0x3FF
Base64
A/8=
One's complement
64,512 (16-bit)
In other bases
ternary (3) 1101220
quaternary (4) 33333
quinary (5) 13043
senary (6) 4423
septenary (7) 2661
nonary (9) 1356
undecimal (11) 850
duodecimal (12) 713
tridecimal (13) 609
tetradecimal (14) 531
pentadecimal (15) 483

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ακγʹ
Mayan (base 20)
𝋢·𝋫·𝋣
Chinese
一千零二十三
Chinese (financial)
壹仟零貳拾參
In other modern scripts
Eastern Arabic ١٠٢٣ Devanagari १०२३ Bengali ১০২৩ Tamil ௧௦௨௩ Thai ๑๐๒๓ Tibetan ༡༠༢༣ Khmer ១០២៣ Lao ໑໐໒໓ Burmese ၁၀၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,023 = 7
e — Euler's number (e)
Digit 1,023 = 6
φ — Golden ratio (φ)
Digit 1,023 = 9
√2 — Pythagoras's (√2)
Digit 1,023 = 7
ln 2 — Natural log of 2
Digit 1,023 = 4
γ — Euler-Mascheroni (γ)
Digit 1,023 = 9

Also seen as

Unicode codepoint
Ͽ
Greek Capital Reversed Dotted Lunate Sigma Symbol
U+03FF
Uppercase letter (Lu)

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

Hex color
#0003FF
RGB(0, 3, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.255.

Address
0.0.3.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.255

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

Position in π

The digit sequence 1023 first appears in π at position 6,770 of the decimal expansion (the 6,770ordinal-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.