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Number

1,842

1,842 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Smith Number Sphenic Number Squarefree Year

Notable events — 1842 AD

  1. Aug 29 Britain and China sign the Treaty of Nanking, ending the First Opium War and ceding Hong Kong.
  2. Aug 9 The Webster-Ashburton Treaty resolves US-Canadian border disputes.
  3. Aug 30 Britain abolishes the gibbet.
  4. Dec 12 The Massachusetts Supreme Court upholds the right of labor to organize.
  5. Nov 1 Britain's withdrawal from Afghanistan ends in disaster at Gandamak.

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
Saturday
January 1, 1842
Ended on
Saturday
December 31, 1842
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 27
Sunday, March 27, 1842
Decade
1840s
1840–1849
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
184
184 years before 2026.

In other calendars

Hebrew
5602 / 5603 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1257 / 1258 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2385 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1220 / 1221 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1834 / 1835 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1764 / 1763 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
64
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
2,481
Recamán's sequence
a(8,060) = 1,842
Square (n²)
3,392,964
Cube (n³)
6,249,839,688
Divisor count
8
σ(n) — sum of divisors
3,696
φ(n) — Euler's totient
612
Sum of prime factors
312

Primality

Prime factorization: 2 × 3 × 307

Nearest primes: 1,831 (−11) · 1,847 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 307 · 614 · 921 (half) · 1842
Aliquot sum (sum of proper divisors): 1,854
Factor pairs (a × b = 1,842)
1 × 1842
2 × 921
3 × 614
6 × 307
First multiples
1,842 · 3,684 (double) · 5,526 · 7,368 · 9,210 · 11,052 · 12,894 · 14,736 · 16,578 · 18,420

Sums & aliquot sequence

As consecutive integers: 613 + 614 + 615 459 + 460 + 461 + 462 148 + 149 + … + 159
Aliquot sequence: 1,842 1,854 2,202 2,214 2,826 3,336 5,064 7,656 13,944 26,376 49,464 88,536 187,944 295,896 443,904 812,340 1,652,304 — unresolved within range

Representations

In words
one thousand eight hundred forty-two
Ordinal
1842nd
Roman numeral
MDCCCXLII
Binary
11100110010
Octal
3462
Hexadecimal
0x732
Base64
BzI=
One's complement
63,693 (16-bit)
In other bases
ternary (3) 2112020
quaternary (4) 130302
quinary (5) 24332
senary (6) 12310
septenary (7) 5241
nonary (9) 2466
undecimal (11) 1425
duodecimal (12) 1096
tridecimal (13) ab9
tetradecimal (14) 958
pentadecimal (15) 82c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αωμβʹ
Mayan (base 20)
𝋤·𝋬·𝋢
Chinese
一千八百四十二
Chinese (financial)
壹仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٨٤٢ Devanagari १८४२ Bengali ১৮৪২ Tamil ௧௮௪௨ Thai ๑๘๔๒ Tibetan ༡༨༤༢ Khmer ១៨៤២ Lao ໑໘໔໒ Burmese ၁၈၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,842 = 2
e — Euler's number (e)
Digit 1,842 = 1
φ — Golden ratio (φ)
Digit 1,842 = 4
√2 — Pythagoras's (√2)
Digit 1,842 = 2
ln 2 — Natural log of 2
Digit 1,842 = 2
γ — Euler-Mascheroni (γ)
Digit 1,842 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1842, here are decompositions:

  • 11 + 1831 = 1842
  • 19 + 1823 = 1842
  • 31 + 1811 = 1842
  • 41 + 1801 = 1842
  • 53 + 1789 = 1842
  • 59 + 1783 = 1842
  • 83 + 1759 = 1842
  • 89 + 1753 = 1842

Showing the first eight; more decompositions exist.

Unicode codepoint
ܲ
Syriac Pthaha Dotted
U+0732
Non-spacing mark (Mn)

UTF-8 encoding: DC B2 (2 bytes).

Hex color
#000732
RGB(0, 7, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.50.

Address
0.0.7.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.50

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

Position in π

The digit sequence 1842 first appears in π at position 1,738 of the decimal expansion (the 1,738ordinal-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.