Number

1,022

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

1,022 (one thousand twenty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 73. Written other ways, in Roman numerals it is MXXII and in binary, 1111111110.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,010 1,011 1,012 1,013 1,014 1,015 1,016 1,017 1,018 1,019 1,020 1,021 1,022 1,023 1,024 1,025 1,026 1,027 1,028 1,029 1,030 1,031 1,032 1,033 1,034

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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 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

Continued fraction of √n

√1,022 = [31; (1, 30, 1, 62)]

Period length 4 — the block in parentheses repeats forever.

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)
Scientific notation: 1.022 × 10³
As a duration: 1,022 s = 17 minutes, 2 seconds

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

As an angle

1,022° = 2 × 360° + 302°

302° ≈ 5.271 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

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

Greek Capital Dotted Lunate Sigma Symbol

U+03FE

Uppercase letter (Lu)

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

Lookup U+03FE on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,022 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -41¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -3¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -40¢)

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.

Look up 1022 on Pi Search ↗