Number

852

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

852 (eight hundred fifty-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 71. Its proper divisors sum to 1,164, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCLII and in binary, 1101010100.

Abundant Number Arithmetic Number Cube-Free Descending Digits Odious Number Pentagonal Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Smith Number Stepped Digits Year

Interestingness

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9 notable facts · grade A

840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864

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Historical context — 852 AD

Calendar year

Year 852 (DCCCLII) was a leap 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 — 852 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Monday
January 1, 852
Ended on: Tuesday
December 31, 852
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 850s
850–859
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,174
1174 years before 2026.

In other calendars

Hebrew: 4612 / 4613 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 237 / 238 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1395 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 230 / 231 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 844 / 845 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 774 / 773 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 80
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 258
Recamán's sequence: a(827) = 852
Square (n²): 725,904
Cube (n³): 618,470,208
Divisor count: 12
σ(n) — sum of divisors: 2,016
φ(n) — Euler's totient: 280
Sum of prime factors: 78

Primality

Prime factorization: 2 ² × 3 × 71

Nearest primes: 839 (−13) · 853 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 71 · 142 · 213 · 284 · 426 (half) · 852

Aliquot sum (sum of proper divisors): 1,164

Factor pairs (a × b = 852)

1 × 852

2 × 426

3 × 284

4 × 213

6 × 142

12 × 71

First multiples

852 · 1,704 (double) · 2,556 · 3,408 · 4,260 · 5,112 · 5,964 · 6,816 · 7,668 · 8,520

Sums & aliquot sequence

As consecutive integers: 283 + 284 + 285 103 + 104 + … + 110 24 + 25 + … + 47

Aliquot sequence: 852 → 1,164 → 1,580 → 1,780 → 2,000 → 2,836 → 2,134 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 — unresolved within range

Continued fraction of √n

√852 = [29; (5, 3, 2, 4, 2, 3, 5, 58)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight hundred fifty-two
Ordinal: 852nd
Roman numeral: DCCCLII
Binary: 1101010100
Octal: 1524
Hexadecimal: 0x354
Base64: A1Q=
One's complement: 64,683 (16-bit)
Scientific notation: 8.52 × 10²
As a duration: 852 s = 14 minutes, 12 seconds

In other bases

ternary (3) 1011120

quaternary (4) 31110

quinary (5) 11402

senary (6) 3540

septenary (7) 2325

nonary (9) 1146

undecimal (11) 705

duodecimal (12) 5b0

tridecimal (13) 507

tetradecimal (14) 44c

pentadecimal (15) 3bc

As an angle

852° = 2 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ωνβʹ
Mayan (base 20): 𝋢·𝋢·𝋬
Chinese: 八百五十二
Chinese (financial): 捌佰伍拾貳

In other modern scripts

Eastern Arabic ٨٥٢ Devanagari ८५२ Bengali ৮৫২ Tamil ௮௫௨ Thai ๘๕๒ Tibetan ༨༥༢ Khmer ៨៥២ Lao ໘໕໒ Burmese ၈၅၂

Digit at this position in famous constants

π — Pi (π): Digit 852 = 7
e — Euler's number (e): Digit 852 = 4
φ — Golden ratio (φ): Digit 852 = 9
√2 — Pythagoras's (√2): Digit 852 = 1
ln 2 — Natural log of 2: Digit 852 = 5
γ — Euler-Mascheroni (γ): Digit 852 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 852, here are decompositions:

13 + 839 = 852
23 + 829 = 852
29 + 823 = 852
31 + 821 = 852
41 + 811 = 852
43 + 809 = 852
79 + 773 = 852
83 + 769 = 852

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Left Arrowhead Below

U+0354

Non-spacing mark (Mn)

UTF-8 encoding: CD 94 (2 bytes).

Lookup U+0354 on Compart ↗ Lookup on FileFormat.Info ↗

Code page identifier

Code page 852 is DOS Latin-2 (Central European) — DOS code page for Central and Eastern 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

#000354

RGB(0, 3, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.84.

Address: 0.0.3.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.84

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

Musical pitch

Heard as a frequency, 852 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯5 (830.6 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, -18¢)
Baroque pitch (A4 = 415 Hz): A5 (830 Hz, +45¢ — about midway to A♯5)