Number

1,076

1,076 is a composite number, even, a calendar year.

1,076 (one thousand seventy-six) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 269. Written other ways, in Roman numerals it is MLXXVI and in binary, 10000110100.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,082 1,083 1,084 1,085 1,086 1,087 1,088

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Historical context — 1076 AD

Calendar year

Year 1076 (MLXXVI) was a leap year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 1076
Ended on: Sunday
December 31, 1076
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1070s
1070–1079
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 950
950 years before 2026.

In other calendars

Hebrew: 4836 / 4837 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 468 / 469 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1619 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 454 / 455 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1068 / 1069 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 998 / 997 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 6,701
Recamán's sequence: a(4,267) = 1,076
Square (n²): 1,157,776
Cube (n³): 1,245,766,976
Divisor count: 6
σ(n) — sum of divisors: 1,890
φ(n) — Euler's totient: 536
Sum of prime factors: 273

Primality

Prime factorization: 2 ² × 269

Nearest primes: 1,069 (−7) · 1,087 (+11)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 269 · 538 (half) · 1076

Aliquot sum (sum of proper divisors): 814

Factor pairs (a × b = 1,076)

1 × 1076

2 × 538

4 × 269

First multiples

1,076 · 2,152 (double) · 3,228 · 4,304 · 5,380 · 6,456 · 7,532 · 8,608 · 9,684 · 10,760

Sums & aliquot sequence

As a sum of two squares: 20² + 26²

As consecutive integers: 131 + 132 + … + 138

Aliquot sequence: 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 — unresolved within range

Continued fraction of √n

√1,076 = [32; (1, 4, 16, 4, 1, 64)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand seventy-six
Ordinal: 1076th
Roman numeral: MLXXVI
Binary: 10000110100
Octal: 2064
Hexadecimal: 0x434
Base64: BDQ=
One's complement: 64,459 (16-bit)
Scientific notation: 1.076 × 10³
As a duration: 1,076 s = 17 minutes, 56 seconds

In other bases

ternary (3) 1110212

quaternary (4) 100310

quinary (5) 13301

senary (6) 4552

septenary (7) 3065

nonary (9) 1425

undecimal (11) 899

duodecimal (12) 758

tridecimal (13) 64a

tetradecimal (14) 56c

pentadecimal (15) 4bb

Palindromic in base 16

As an angle

1,076° = 2 × 360° + 356°

356° ≈ 6.213 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αοϛʹ
Mayan (base 20): 𝋢·𝋭·𝋰
Chinese: 一千零七十六
Chinese (financial): 壹仟零柒拾陸

In other modern scripts

Eastern Arabic ١٠٧٦ Devanagari १०७६ Bengali ১০৭৬ Tamil ௧௦௭௬ Thai ๑๐๗๖ Tibetan ༡༠༧༦ Khmer ១០៧៦ Lao ໑໐໗໖ Burmese ၁၀၇၆

Digit at this position in famous constants

π — Pi (π): Digit 1,076 = 4
e — Euler's number (e): Digit 1,076 = 0
φ — Golden ratio (φ): Digit 1,076 = 1
√2 — Pythagoras's (√2): Digit 1,076 = 0
ln 2 — Natural log of 2: Digit 1,076 = 8
γ — Euler-Mascheroni (γ): Digit 1,076 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1076, here are decompositions:

7 + 1069 = 1076
13 + 1063 = 1076
37 + 1039 = 1076
43 + 1033 = 1076
67 + 1009 = 1076
79 + 997 = 1076
109 + 967 = 1076
139 + 937 = 1076

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Small Letter De

U+0434

Lowercase letter (Ll)

UTF-8 encoding: D0 B4 (2 bytes).

Lookup U+0434 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000434

RGB(0, 4, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.52.

Address: 0.0.4.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.52

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

Musical pitch

Heard as a frequency, 1,076 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +48¢ — about midway to C♯6)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -14¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +49¢ — about midway to D6)

Position in π

The digit sequence 1076 first appears in π at position 6,136 of the decimal expansion (the 6,136ordinal-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 1076 on Pi Search ↗