Number

1,842

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

1,842 (one thousand eight hundred forty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 307. Its proper divisors sum to 1,854, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCCXLII and in binary, 11100110010.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,830 1,831 1,832 1,833 1,834 1,835 1,836 1,837 1,838 1,839 1,840 1,841 1,842 1,843 1,844 1,845 1,846 1,847 1,848 1,849 1,850 1,851 1,852 1,853 1,854

less more

Notable events — 1842 AD

Aug 29 Britain and China sign the Treaty of Nanking, ending the First Opium War and ceding Hong Kong.
Aug 9 The Webster-Ashburton Treaty resolves US-Canadian border disputes.
Aug 30 Britain abolishes the gibbet.
Dec 12 The Massachusetts Supreme Court upholds the right of labor to organize.
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

Continued fraction of √n

√1,842 = [42; (1, 11, 3, 1, 1, 1, 5, 2, 42, 2, 5, 1, 1, 1, 3, 11, 1, 84)]

Period length 18 — the block in parentheses repeats forever.

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)
Scientific notation: 1.842 × 10³
As a duration: 1,842 s = 30 minutes, 42 seconds

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

As an angle

1,842° = 5 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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).

Lookup U+0732 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,842 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, -21¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, -20¢)

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.

Look up 1842 on Pi Search ↗