Number

1,069

1,069 is a prime, odd, a calendar year.

1,069 (one thousand sixty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MLXIX and in binary, 10000101101.

Arithmetic Number Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,057 1,058 1,059 1,060 1,061 1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072 1,073 1,074 1,075 1,076 1,077 1,078 1,079 1,080 1,081

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Historical context — 1069 AD

Calendar year

1069 (MLXIX) was a common year starting on Thursday of the Julian calendar, the 1069th year of the Common Era (CE) and Anno Domini (AD) designations, the 69th year of the 2nd millennium and the 11th century, and the 10th and last year of the 1060s decade.

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: Friday
January 1, 1069
Ended on: Friday
December 31, 1069
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1060s
1060–1069
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 957
957 years before 2026.

In other calendars

Hebrew: 4829 / 4830 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 461 / 462 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1612 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 447 / 448 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1061 / 1062 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 991 / 990 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 9,601
Flips to (rotate 180°): 6,901
Recamán's sequence: a(4,281) = 1,069
Square (n²): 1,142,761
Cube (n³): 1,221,611,509
Divisor count: 2
σ(n) — sum of divisors: 1,070
φ(n) — Euler's totient: 1,068

Primality

1,069 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1069

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,069)

1 × 1069

First multiples

1,069 · 2,138 (double) · 3,207 · 4,276 · 5,345 · 6,414 · 7,483 · 8,552 · 9,621 · 10,690

Sums & aliquot sequence

As a sum of two squares: 13² + 30²

As consecutive integers: 534 + 535

Continued fraction of √n

√1,069 = [32; (1, 2, 3, 1, 1, 21, 4, 3, 5, 7, 12, 1, 15, 2, 2, 1, 3, 1, 1, 1, 4, 1, 4, 4, …)]

Period length 47 — the block in parentheses repeats forever.

Representations

In words: one thousand sixty-nine
Ordinal: 1069th
Roman numeral: MLXIX
Binary: 10000101101
Octal: 2055
Hexadecimal: 0x42D
Base64: BC0=
One's complement: 64,466 (16-bit)
Scientific notation: 1.069 × 10³
As a duration: 1,069 s = 17 minutes, 49 seconds

In other bases

ternary (3) 1110121

quaternary (4) 100231

quinary (5) 13234

senary (6) 4541

septenary (7) 3055

nonary (9) 1417

undecimal (11) 892

duodecimal (12) 751

tridecimal (13) 643

tetradecimal (14) 565

pentadecimal (15) 4b4

Palindromic in base 14, base 15

As an angle

1,069° = 2 × 360° + 349°

349° ≈ 6.091 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αξθʹ
Mayan (base 20): 𝋢·𝋭·𝋩
Chinese: 一千零六十九
Chinese (financial): 壹仟零陸拾玖

In other modern scripts

Eastern Arabic ١٠٦٩ Devanagari १०६९ Bengali ১০৬৯ Tamil ௧௦௬௯ Thai ๑๐๖๙ Tibetan ༡༠༦༩ Khmer ១០៦៩ Lao ໑໐໖໙ Burmese ၁၀၆၉

Digit at this position in famous constants

π — Pi (π): Digit 1,069 = 3
e — Euler's number (e): Digit 1,069 = 9
φ — Golden ratio (φ): Digit 1,069 = 3
√2 — Pythagoras's (√2): Digit 1,069 = 1
ln 2 — Natural log of 2: Digit 1,069 = 8
γ — Euler-Mascheroni (γ): Digit 1,069 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,063 (gap of 6)
Next prime: 1,087 (gap of 18)

Pair status: sexy with 1063.

Unicode codepoint

Cyrillic Capital Letter E

U+042D

Uppercase letter (Lu)

UTF-8 encoding: D0 AD (2 bytes).

Lookup U+042D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00042D

RGB(0, 4, 45)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.45.

Address: 0.0.4.45
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.45

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

Musical pitch

Heard as a frequency, 1,069 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -26¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +38¢)

Position in π

The digit sequence 1069 first appears in π at position 41,789 of the decimal expansion (the 41,789ordinal-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 1069 on Pi Search ↗