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Number

1,772

1,772 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number Year

Notable events — 1772 AD

  1. Aug 5 The first partition of Poland divides territory among Russia, Prussia, and Austria.
  2. Jun 22 Lord Mansfield's Somerset v Stewart ruling effectively bars slavery on English soil.
  3. Jun 9 Rhode Islanders burn the British schooner Gaspee.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 1772
Ended on
Thursday
December 31, 1772
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 19
Sunday, April 19, 1772
Decade
1770s
1770–1779
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
254
254 years before 2026.

In other calendars

Hebrew
5532 / 5533 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1185 / 1186 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2315 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1150 / 1151 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1764 / 1765 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1694 / 1693 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
98
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
2,771
Recamán's sequence
a(16,155) = 1,772
Square (n²)
3,139,984
Cube (n³)
5,564,051,648
Divisor count
6
σ(n) — sum of divisors
3,108
φ(n) — Euler's totient
884
Sum of prime factors
447

Primality

Prime factorization: 2 2 × 443

Nearest primes: 1,759 (−13) · 1,777 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 443 · 886 (half) · 1772
Aliquot sum (sum of proper divisors): 1,336
Factor pairs (a × b = 1,772)
1 × 1772
2 × 886
4 × 443
First multiples
1,772 · 3,544 (double) · 5,316 · 7,088 · 8,860 · 10,632 · 12,404 · 14,176 · 15,948 · 17,720

Sums & aliquot sequence

As consecutive integers: 218 + 219 + … + 225
Aliquot sequence: 1,772 1,336 1,184 1,210 1,184 — enters a cycle

Representations

In words
one thousand seven hundred seventy-two
Ordinal
1772nd
Roman numeral
MDCCLXXII
Binary
11011101100
Octal
3354
Hexadecimal
0x6EC
Base64
Buw=
One's complement
63,763 (16-bit)
In other bases
ternary (3) 2102122
quaternary (4) 123230
quinary (5) 24042
senary (6) 12112
septenary (7) 5111
nonary (9) 2378
undecimal (11) 1371
duodecimal (12) 1038
tridecimal (13) a64
tetradecimal (14) 908
pentadecimal (15) 7d2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αψοβʹ
Mayan (base 20)
𝋤·𝋨·𝋬
Chinese
一千七百七十二
Chinese (financial)
壹仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٧٧٢ Devanagari १७७२ Bengali ১৭৭২ Tamil ௧௭௭௨ Thai ๑๗๗๒ Tibetan ༡༧༧༢ Khmer ១៧៧២ Lao ໑໗໗໒ Burmese ၁၇၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,772 = 4
e — Euler's number (e)
Digit 1,772 = 0
φ — Golden ratio (φ)
Digit 1,772 = 0
√2 — Pythagoras's (√2)
Digit 1,772 = 9
ln 2 — Natural log of 2
Digit 1,772 = 3
γ — Euler-Mascheroni (γ)
Digit 1,772 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1772, here are decompositions:

  • 13 + 1759 = 1772
  • 19 + 1753 = 1772
  • 31 + 1741 = 1772
  • 73 + 1699 = 1772
  • 79 + 1693 = 1772
  • 103 + 1669 = 1772
  • 109 + 1663 = 1772
  • 151 + 1621 = 1772

Showing the first eight; more decompositions exist.

Unicode codepoint
۬
Arabic Rounded High Stop With Filled Centre
U+06EC
Non-spacing mark (Mn)

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

Hex color
#0006EC
RGB(0, 6, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.236.

Address
0.0.6.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.236

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

Position in π

The digit sequence 1772 first appears in π at position 5,338 of the decimal expansion (the 5,338ordinal-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.