Number

1,846

1,846 is a composite number, even, a calendar year.

1,846 (one thousand eight hundred forty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 71. Written other ways, in Roman numerals it is MDCCCXLVI and in binary, 11100110110.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,855 1,856 1,857 1,858

less more

Notable events — 1846 AD

May 13 The US declares war on Mexico.
Jun 15 The Oregon Treaty sets the US-Canada border at the 49th parallel west of the Rockies.
Aug 9 The Wilmot Proviso to ban slavery in territories acquired from Mexico is introduced.
Sep 23 Neptune is discovered through Le Verrier's calculations.
Dec 28 Iowa becomes the 29th US state.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1846
Ended on: Thursday
December 31, 1846
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 12
Sunday, April 12, 1846
Decade: 1840s
1840–1849
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 180
180 years before 2026.

In other calendars

Hebrew: 5606 / 5607 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1262 / 1263 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Horse
Sexagenary cycle position 43 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2389 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1224 / 1225 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1838 / 1839 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1768 / 1767 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 192
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 6,481
Recamán's sequence: a(8,052) = 1,846
Square (n²): 3,407,716
Cube (n³): 6,290,643,736
Divisor count: 8
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 840
Sum of prime factors: 86

Primality

Prime factorization: 2 × 13 × 71

Nearest primes: 1,831 (−15) · 1,847 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 13 · 26 · 71 · 142 · 923 (half) · 1846

Aliquot sum (sum of proper divisors): 1,178

Factor pairs (a × b = 1,846)

1 × 1846

2 × 923

13 × 142

26 × 71

First multiples

1,846 · 3,692 (double) · 5,538 · 7,384 · 9,230 · 11,076 · 12,922 · 14,768 · 16,614 · 18,460

Sums & aliquot sequence

As consecutive integers: 460 + 461 + 462 + 463 136 + 137 + … + 148 10 + 11 + … + 61

Aliquot sequence: 1,846 → 1,178 → 742 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 — unresolved within range

Continued fraction of √n

√1,846 = [42; (1, 27, 1, 1, 1, 8, 1, 7, 1, 2, 3, 2, 1, 1, 3, 3, 6, 3, 3, 1, 1, 2, 3, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred forty-six
Ordinal: 1846th
Roman numeral: MDCCCXLVI
Binary: 11100110110
Octal: 3466
Hexadecimal: 0x736
Base64: BzY=
One's complement: 63,689 (16-bit)
Scientific notation: 1.846 × 10³
As a duration: 1,846 s = 30 minutes, 46 seconds

In other bases

ternary (3) 2112101

quaternary (4) 130312

quinary (5) 24341

senary (6) 12314

septenary (7) 5245

nonary (9) 2471

undecimal (11) 1429

duodecimal (12) 109a

tridecimal (13) ac0

tetradecimal (14) 95c

pentadecimal (15) 831

As an angle

1,846° = 5 × 360° + 46°

46° ≈ 0.803 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αωμϛʹ
Mayan (base 20): 𝋤·𝋬·𝋦
Chinese: 一千八百四十六
Chinese (financial): 壹仟捌佰肆拾陸

In other modern scripts

Eastern Arabic ١٨٤٦ Devanagari १८४६ Bengali ১৮৪৬ Tamil ௧௮௪௬ Thai ๑๘๔๖ Tibetan ༡༨༤༦ Khmer ១៨៤៦ Lao ໑໘໔໖ Burmese ၁၈၄၆

Digit at this position in famous constants

π — Pi (π): Digit 1,846 = 5
e — Euler's number (e): Digit 1,846 = 7
φ — Golden ratio (φ): Digit 1,846 = 4
√2 — Pythagoras's (√2): Digit 1,846 = 0
ln 2 — Natural log of 2: Digit 1,846 = 0
γ — Euler-Mascheroni (γ): Digit 1,846 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1846, here are decompositions:

23 + 1823 = 1846
59 + 1787 = 1846
113 + 1733 = 1846
137 + 1709 = 1846
149 + 1697 = 1846
179 + 1667 = 1846
227 + 1619 = 1846
233 + 1613 = 1846

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Rbasa Above

U+0736

Non-spacing mark (Mn)

UTF-8 encoding: DC B6 (2 bytes).

Lookup U+0736 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000736

RGB(0, 7, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.54.

Address: 0.0.7.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.54

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

Musical pitch

Heard as a frequency, 1,846 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, -16¢)

Position in π

The digit sequence 1846 first appears in π at position 587 of the decimal expansion (the 587ordinal-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 1846 on Pi Search ↗