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Number

1,022

1,022 is a composite number, even, a calendar year.

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

Historical context — 1022 AD

Calendar year

The year 1022 (MXXII) was a common year starting on Monday 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
Tuesday
January 1, 1022
Ended on
Tuesday
December 31, 1022
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1020s
1020–1029
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,004
1004 years before 2026.

In other calendars

Hebrew
4782 / 4783 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
412 / 413 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1565 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
400 / 401 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1014 / 1015 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
944 / 943 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
2,201
Recamán's sequence
a(4,375) = 1,022
Square (n²)
1,044,484
Cube (n³)
1,067,462,648
Divisor count
8
σ(n) — sum of divisors
1,776
φ(n) — Euler's totient
432
Sum of prime factors
82

Primality

Prime factorization: 2 × 7 × 73

Nearest primes: 1,021 (−1) · 1,031 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 73 · 146 · 511 (half) · 1022
Aliquot sum (sum of proper divisors): 754
Factor pairs (a × b = 1,022)
1 × 1022
2 × 511
7 × 146
14 × 73
First multiples
1,022 · 2,044 (double) · 3,066 · 4,088 · 5,110 · 6,132 · 7,154 · 8,176 · 9,198 · 10,220

Sums & aliquot sequence

As consecutive integers: 254 + 255 + 256 + 257 143 + 144 + … + 149 23 + 24 + … + 50
Aliquot sequence: 1,022 754 506 358 182 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand twenty-two
Ordinal
1022nd
Roman numeral
MXXII
Binary
1111111110
Octal
1776
Hexadecimal
0x3FE
Base64
A/4=
One's complement
64,513 (16-bit)
In other bases
ternary (3) 1101212
quaternary (4) 33332
quinary (5) 13042
senary (6) 4422
septenary (7) 2660
nonary (9) 1355
undecimal (11) 84a
duodecimal (12) 712
tridecimal (13) 608
tetradecimal (14) 530
pentadecimal (15) 482

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ακβʹ
Mayan (base 20)
𝋢·𝋫·𝋢
Chinese
一千零二十二
Chinese (financial)
壹仟零貳拾貳
In other modern scripts
Eastern Arabic ١٠٢٢ Devanagari १०२२ Bengali ১০২২ Tamil ௧௦௨௨ Thai ๑๐๒๒ Tibetan ༡༠༢༢ Khmer ១០២២ Lao ໑໐໒໒ Burmese ၁၀၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,022 = 2
e — Euler's number (e)
Digit 1,022 = 0
φ — Golden ratio (φ)
Digit 1,022 = 5
√2 — Pythagoras's (√2)
Digit 1,022 = 2
ln 2 — Natural log of 2
Digit 1,022 = 7
γ — Euler-Mascheroni (γ)
Digit 1,022 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022, here are decompositions:

  • 3 + 1019 = 1022
  • 13 + 1009 = 1022
  • 31 + 991 = 1022
  • 103 + 919 = 1022
  • 139 + 883 = 1022
  • 163 + 859 = 1022
  • 193 + 829 = 1022
  • 199 + 823 = 1022

Showing the first eight; more decompositions exist.

Unicode codepoint
Ͼ
Greek Capital Dotted Lunate Sigma Symbol
U+03FE
Uppercase letter (Lu)

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

Hex color
#0003FE
RGB(0, 3, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.254.

Address
0.0.3.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.254

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

Position in π

The digit sequence 1022 first appears in π at position 6,399 of the decimal expansion (the 6,399ordinal-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.