Number

850

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

850 (eight hundred fifty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 5² × 17. Written other ways, in Roman numerals it is DCCCL and in binary, 1101010010.

Cube-Free Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Self Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862

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Historical context — 850 AD

Calendar year

Year 850 (DCCCL) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 850 BC

Decade

This article concerns the period 859 BC – 850 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: Saturday
January 1, 850
Ended on: Saturday
December 31, 850
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 850s
850–859
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,176
1176 years before 2026.

In other calendars

Hebrew: 4610 / 4611 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 235 / 236 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1393 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 228 / 229 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 842 / 843 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 772 / 771 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 58
Recamán's sequence: a(831) = 850
Square (n²): 722,500
Cube (n³): 614,125,000
Divisor count: 12
σ(n) — sum of divisors: 1,674
φ(n) — Euler's totient: 320
Sum of prime factors: 29

Primality

Prime factorization: 2 × 5 ² × 17

Nearest primes: 839 (−11) · 853 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 5 · 10 · 17 · 25 · 34 · 50 · 85 · 170 · 425 (half) · 850

Aliquot sum (sum of proper divisors): 824

Factor pairs (a × b = 850)

1 × 850

2 × 425

5 × 170

10 × 85

17 × 50

25 × 34

First multiples

850 · 1,700 (double) · 2,550 · 3,400 · 4,250 · 5,100 · 5,950 · 6,800 · 7,650 · 8,500

Sums & aliquot sequence

As a sum of two squares: 3² + 29² = 11² + 27² = 15² + 25²

As consecutive integers: 211 + 212 + 213 + 214 168 + 169 + 170 + 171 + 172 42 + 43 + … + 58 33 + 34 + … + 52

Aliquot sequence: 850 → 824 → 736 → 776 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√850 = [29; (6, 2, 6, 58)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: eight hundred fifty
Ordinal: 850th
Roman numeral: DCCCL
Binary: 1101010010
Octal: 1522
Hexadecimal: 0x352
Base64: A1I=
One's complement: 64,685 (16-bit)
Scientific notation: 8.5 × 10²
As a duration: 850 s = 14 minutes, 10 seconds

In other bases

ternary (3) 1011111

quaternary (4) 31102

quinary (5) 11400

senary (6) 3534

septenary (7) 2323

nonary (9) 1144

undecimal (11) 703

duodecimal (12) 5aa

tridecimal (13) 505

tetradecimal (14) 44a

pentadecimal (15) 3ba

Palindromic in base 13

As an angle

850° = 2 × 360° + 130°

130° ≈ 2.269 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ωνʹ
Mayan (base 20): 𝋢·𝋢·𝋪
Chinese: 八百五十
Chinese (financial): 捌佰伍拾

In other modern scripts

Eastern Arabic ٨٥٠ Devanagari ८५० Bengali ৮৫০ Tamil ௮௫௦ Thai ๘๕๐ Tibetan ༨༥༠ Khmer ៨៥០ Lao ໘໕໐ Burmese ၈၅၀

Digit at this position in famous constants

π — Pi (π): Digit 850 = 8
e — Euler's number (e): Digit 850 = 1
φ — Golden ratio (φ): Digit 850 = 9
√2 — Pythagoras's (√2): Digit 850 = 9
ln 2 — Natural log of 2: Digit 850 = 0
γ — Euler-Mascheroni (γ): Digit 850 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 850, here are decompositions:

11 + 839 = 850
23 + 827 = 850
29 + 821 = 850
41 + 809 = 850
53 + 797 = 850
89 + 761 = 850
107 + 743 = 850
131 + 719 = 850

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Fermata

U+0352

Non-spacing mark (Mn)

UTF-8 encoding: CD 92 (2 bytes).

Lookup U+0352 on Compart ↗ Lookup on FileFormat.Info ↗

Code page identifier

Code page 850 is DOS Latin-1 (Western) — Multilingual DOS code page covering Western European languages.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Microsoft code page reference ↗

Hex color

#000352

RGB(0, 3, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.82.

Address: 0.0.3.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.82

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

NANP area code 850

The number 850 is an active NANP area code (North American Numbering Plan).

Primary area: Tallahassee / Pensacola
Region: Florida
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 850 ↗

Musical pitch

Heard as a frequency, 850 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯5 (830.6 Hz, +40¢)
Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): A5 (830 Hz, +41¢)