Number

1,095

1,095 is a composite number, odd, a calendar year.

1,095 (one thousand ninety-five) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 5 × 73. Written other ways, in Roman numerals it is MXCV and in binary, 10001000111.

Arithmetic Number Cube-Free Deficient Number Gapful Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,083 1,084 1,085 1,086 1,087 1,088 1,089 1,090 1,091 1,092 1,093 1,094 1,095 1,096 1,097 1,098 1,099 1,100 1,101 1,102 1,103 1,104 1,105 1,106 1,107

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Notable events — 1095 AD

Nov 27 Pope Urban II calls the First Crusade at the Council of Clermont.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1095
Ended on: Tuesday
December 31, 1095
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1090s
1090–1099
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 931
931 years before 2026.

In other calendars

Hebrew: 4855 / 4856 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 487 / 488 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Pig
Sexagenary cycle position 12 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1638 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 473 / 474 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1087 / 1088 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1017 / 1016 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 5,901
Recamán's sequence: a(298) = 1,095
Square (n²): 1,199,025
Cube (n³): 1,312,932,375
Divisor count: 8
σ(n) — sum of divisors: 1,776
φ(n) — Euler's totient: 576
Sum of prime factors: 81

Primality

Prime factorization: 3 × 5 × 73

Nearest primes: 1,093 (−2) · 1,097 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 5 · 15 · 73 · 219 · 365 · 1095

Aliquot sum (sum of proper divisors): 681

Factor pairs (a × b = 1,095)

1 × 1095

3 × 365

5 × 219

15 × 73

First multiples

1,095 · 2,190 (double) · 3,285 · 4,380 · 5,475 · 6,570 · 7,665 · 8,760 · 9,855 · 10,950

Sums & aliquot sequence

As consecutive integers: 547 + 548 364 + 365 + 366 217 + 218 + 219 + 220 + 221 180 + 181 + 182 + 183 + 184 + 185

Aliquot sequence: 1,095 → 681 → 231 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,095 = [33; (11, 66)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand ninety-five
Ordinal: 1095th
Roman numeral: MXCV
Binary: 10001000111
Octal: 2107
Hexadecimal: 0x447
Base64: BEc=
One's complement: 64,440 (16-bit)
Scientific notation: 1.095 × 10³
As a duration: 1,095 s = 18 minutes, 15 seconds

In other bases

ternary (3) 1111120

quaternary (4) 101013

quinary (5) 13340

senary (6) 5023

septenary (7) 3123

nonary (9) 1446

undecimal (11) 906

duodecimal (12) 773

tridecimal (13) 663

tetradecimal (14) 583

pentadecimal (15) 4d0

As an angle

1,095° = 3 × 360° + 15°

15° ≈ 0.262 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αϟεʹ
Mayan (base 20): 𝋢·𝋮·𝋯
Chinese: 一千零九十五
Chinese (financial): 壹仟零玖拾伍

In other modern scripts

Eastern Arabic ١٠٩٥ Devanagari १०९५ Bengali ১০৯৫ Tamil ௧௦௯௫ Thai ๑๐๙๕ Tibetan ༡༠༩༥ Khmer ១០៩៥ Lao ໑໐໙໕ Burmese ၁၀၉၅

Digit at this position in famous constants

π — Pi (π): Digit 1,095 = 7
e — Euler's number (e): Digit 1,095 = 2
φ — Golden ratio (φ): Digit 1,095 = 5
√2 — Pythagoras's (√2): Digit 1,095 = 4
ln 2 — Natural log of 2: Digit 1,095 = 3
γ — Euler-Mascheroni (γ): Digit 1,095 = 0

Also seen as

Unicode codepoint

Cyrillic Small Letter Che

U+0447

Lowercase letter (Ll)

UTF-8 encoding: D1 87 (2 bytes).

Lookup U+0447 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000447

RGB(0, 4, 71)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.71.

Address: 0.0.4.71
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.71

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

Musical pitch

Heard as a frequency, 1,095 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -20¢)

Position in π

The digit sequence 1095 first appears in π at position 7,376 of the decimal expansion (the 7,376ordinal-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 1095 on Pi Search ↗