Number

846

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

846 (eight hundred forty-six) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 47. Its proper divisors sum to 1,026, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCXLVI and in binary, 1101001110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858

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Historical context — 846 AD

Calendar year

Year 846 (DCCCXLVI) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 846 BC

Decade

This article concerns the period 849 BC – 840 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: Monday
January 1, 846
Ended on: Monday
December 31, 846
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 840s
840–849
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,180
1180 years before 2026.

In other calendars

Hebrew: 4606 / 4607 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 231 / 232 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1389 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 224 / 225 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 838 / 839 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 768 / 767 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 648
Recamán's sequence: a(839) = 846
Square (n²): 715,716
Cube (n³): 605,495,736
Divisor count: 12
σ(n) — sum of divisors: 1,872
φ(n) — Euler's totient: 276
Sum of prime factors: 55

Primality

Prime factorization: 2 × 3 ² × 47

Nearest primes: 839 (−7) · 853 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 47 · 94 · 141 · 282 · 423 (half) · 846

Aliquot sum (sum of proper divisors): 1,026

Factor pairs (a × b = 846)

1 × 846

2 × 423

3 × 282

6 × 141

9 × 94

18 × 47

First multiples

846 · 1,692 (double) · 2,538 · 3,384 · 4,230 · 5,076 · 5,922 · 6,768 · 7,614 · 8,460

Sums & aliquot sequence

As consecutive integers: 281 + 282 + 283 210 + 211 + 212 + 213 90 + 91 + … + 98 65 + 66 + … + 76

Aliquot sequence: 846 → 1,026 → 1,374 → 1,386 → 2,358 → 2,790 → 4,698 → 6,192 → 11,540 → 12,736 → 12,664 → 11,096 → 11,104 → 10,820 → 11,944 → 10,466 → 5,236 — unresolved within range

Continued fraction of √n

√846 = [29; (11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 11, 58)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: eight hundred forty-six
Ordinal: 846th
Roman numeral: DCCCXLVI
Binary: 1101001110
Octal: 1516
Hexadecimal: 0x34E
Base64: A04=
One's complement: 64,689 (16-bit)
Scientific notation: 8.46 × 10²
As a duration: 846 s = 14 minutes, 6 seconds

In other bases

ternary (3) 1011100

quaternary (4) 31032

quinary (5) 11341

senary (6) 3530

septenary (7) 2316

nonary (9) 1140

undecimal (11) 6aa

duodecimal (12) 5a6

tridecimal (13) 501

tetradecimal (14) 446

pentadecimal (15) 3b6

As an angle

846° = 2 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωμϛʹ
Mayan (base 20): 𝋢·𝋢·𝋦
Chinese: 八百四十六
Chinese (financial): 捌佰肆拾陸

In other modern scripts

Eastern Arabic ٨٤٦ Devanagari ८४६ Bengali ৮৪৬ Tamil ௮௪௬ Thai ๘๔๖ Tibetan ༨༤༦ Khmer ៨៤៦ Lao ໘໔໖ Burmese ၈၄၆

Digit at this position in famous constants

π — Pi (π): Digit 846 = 3
e — Euler's number (e): Digit 846 = 6
φ — Golden ratio (φ): Digit 846 = 2
√2 — Pythagoras's (√2): Digit 846 = 7
ln 2 — Natural log of 2: Digit 846 = 5
γ — Euler-Mascheroni (γ): Digit 846 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 846, here are decompositions:

7 + 839 = 846
17 + 829 = 846
19 + 827 = 846
23 + 823 = 846
37 + 809 = 846
59 + 787 = 846
73 + 773 = 846
89 + 757 = 846

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Upwards Arrow Below

U+034E

Non-spacing mark (Mn)

UTF-8 encoding: CD 8E (2 bytes).

Lookup U+034E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00034E

RGB(0, 3, 78)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.78.

Address: 0.0.3.78
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.78

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

Musical pitch

Heard as a frequency, 846 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯5 (830.6 Hz, +32¢)
Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, -31¢)
Baroque pitch (A4 = 415 Hz): A5 (830 Hz, +33¢)