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Number

1,775

1,775 is a composite number, odd, a calendar year.

1,775 (one thousand seven hundred seventy-five) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 5² × 71. Written other ways, in Roman numerals it is MDCCLXXV and in binary, 11011101111.

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

Interestingness

Notable events — 1775 AD

  1. Apr 19 Battles of Lexington and Concord open the American Revolutionary War.
  2. Jun 17 The Battle of Bunker Hill is fought outside Boston.
  3. Mar 23 Patrick Henry delivers his "give me liberty" speech in Richmond.

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
Sunday
January 1, 1775
Ended on
Sunday
December 31, 1775
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 16
Sunday, April 16, 1775
Decade
1770s
1770–1779
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
251
251 years before 2026.

In other calendars

Hebrew
5535 / 5536 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1188 / 1189 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Goat
Sexagenary cycle position 32 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2318 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1153 / 1154 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1767 / 1768 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1697 / 1696 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
245
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
5,771
Recamán's sequence
a(16,149) = 1,775
Square (n²)
3,150,625
Cube (n³)
5,592,359,375
Divisor count
6
σ(n) — sum of divisors
2,232
φ(n) — Euler's totient
1,400
Sum of prime factors
81

Primality

Prime factorization: 5 2 × 71

Nearest primes: 1,759 (−16) · 1,777 (+2)

Divisors & multiples

All divisors (6)
1 · 5 · 25 · 71 · 355 · 1775
Aliquot sum (sum of proper divisors): 457
Factor pairs (a × b = 1,775)
1 × 1775
5 × 355
25 × 71
First multiples
1,775 · 3,550 (double) · 5,325 · 7,100 · 8,875 · 10,650 · 12,425 · 14,200 · 15,975 · 17,750

Sums & aliquot sequence

As consecutive integers: 887 + 888 353 + 354 + 355 + 356 + 357 173 + 174 + … + 182 59 + 60 + … + 83
Aliquot sequence: 1,775 457 1 0 — terminates at zero

Continued fraction of √n

√1,775 = [42; (7, 1, 1, 1, 5, 2, 1, 2, 1, 2, 5, 1, 1, 1, 7, 84)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one thousand seven hundred seventy-five
Ordinal
1775th
Roman numeral
MDCCLXXV
Binary
11011101111
Octal
3357
Hexadecimal
0x6EF
Base64
Bu8=
One's complement
63,760 (16-bit)
Scientific notation
1.775 × 10³
As a duration
1,775 s = 29 minutes, 35 seconds
In other bases
ternary (3) 2102202
quaternary (4) 123233
quinary (5) 24100
senary (6) 12115
septenary (7) 5114
nonary (9) 2382
undecimal (11) 1374
duodecimal (12) 103b
tridecimal (13) a67
tetradecimal (14) 90b
pentadecimal (15) 7d5

As an angle

1,775° = 4 × 360° + 335°
335° ≈ 5.847 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αψοεʹ
Mayan (base 20)
𝋤·𝋨·𝋯
Chinese
一千七百七十五
Chinese (financial)
壹仟柒佰柒拾伍
In other modern scripts
Eastern Arabic ١٧٧٥ Devanagari १७७५ Bengali ১৭৭৫ Tamil ௧௭௭௫ Thai ๑๗๗๕ Tibetan ༡༧༧༥ Khmer ១៧៧៥ Lao ໑໗໗໕ Burmese ၁၇၇၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,775 = 8
e — Euler's number (e)
Digit 1,775 = 7
φ — Golden ratio (φ)
Digit 1,775 = 4
√2 — Pythagoras's (√2)
Digit 1,775 = 9
ln 2 — Natural log of 2
Digit 1,775 = 2
γ — Euler-Mascheroni (γ)
Digit 1,775 = 5

Also seen as

Unicode codepoint
ۯ
Arabic Letter Reh With Inverted V
U+06EF
Other letter (Lo)

UTF-8 encoding: DB AF (2 bytes).

Hex color
#0006EF
RGB(0, 6, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.239.

Address
0.0.6.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.239

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

Musical pitch

Heard as a frequency, 1,775 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A6 (1760 Hz, +15¢)
  • Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, -48¢ — about midway to A6)
  • Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, +16¢)
Position in π

The digit sequence 1775 first appears in π at position 1,086 of the decimal expansion (the 1,086ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.