Number

856

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

Deficient Number Nonagonal Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 856 AD

Calendar year

Year 856 (DCCCLVI) was a leap year starting on Wednesday of the Julian calendar.

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Historical context — 856 BC

Decade

This article concerns the period 859 BC – 850 BC.

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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: Saturday
January 1, 856
Ended on: Sunday
December 31, 856
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: 1,170
1170 years before 2026.

In other calendars

Hebrew: 4616 / 4617 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 241 / 242 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1399 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 234 / 235 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 848 / 849 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 778 / 777 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 240
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 658
Recamán's sequence: a(819) = 856
Square (n²): 732,736
Cube (n³): 627,222,016
Divisor count: 8
σ(n) — sum of divisors: 1,620
φ(n) — Euler's totient: 424
Sum of prime factors: 113

Primality

Prime factorization: 2 ³ × 107

Nearest primes: 853 (−3) · 857 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 107 · 214 · 428 (half) · 856

Aliquot sum (sum of proper divisors): 764

Factor pairs (a × b = 856)

1 × 856

2 × 428

4 × 214

8 × 107

First multiples

856 · 1,712 (double) · 2,568 · 3,424 · 4,280 · 5,136 · 5,992 · 6,848 · 7,704 · 8,560

Sums & aliquot sequence

As consecutive integers: 46 + 47 + … + 61

Aliquot sequence: 856 → 764 → 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 — unresolved within range

Representations

In words: eight hundred fifty-six
Ordinal: 856th
Roman numeral: DCCCLVI
Binary: 1101011000
Octal: 1530
Hexadecimal: 0x358
Base64: A1g=
One's complement: 64,679 (16-bit)

In other bases

ternary (3) 1011201

quaternary (4) 31120

quinary (5) 11411

senary (6) 3544

septenary (7) 2332

nonary (9) 1151

undecimal (11) 709

duodecimal (12) 5b4

tridecimal (13) 50b

tetradecimal (14) 452

pentadecimal (15) 3c1

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωνϛʹ
Mayan (base 20): 𝋢·𝋢·𝋰
Chinese: 八百五十六
Chinese (financial): 捌佰伍拾陸

In other modern scripts

Eastern Arabic ٨٥٦ Devanagari ८५६ Bengali ৮৫৬ Tamil ௮௫௬ Thai ๘๕๖ Tibetan ༨༥༦ Khmer ៨៥៦ Lao ໘໕໖ Burmese ၈၅၆

Digit at this position in famous constants

π — Pi (π): Digit 856 = 0
e — Euler's number (e): Digit 856 = 6
φ — Golden ratio (φ): Digit 856 = 2
√2 — Pythagoras's (√2): Digit 856 = 2
ln 2 — Natural log of 2: Digit 856 = 8
γ — Euler-Mascheroni (γ): Digit 856 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 856, here are decompositions:

3 + 853 = 856
17 + 839 = 856
29 + 827 = 856
47 + 809 = 856
59 + 797 = 856
83 + 773 = 856
113 + 743 = 856
137 + 719 = 856

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Dot Above Right

U+0358

Non-spacing mark (Mn)

UTF-8 encoding: CD 98 (2 bytes).

Lookup U+0358 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000358

RGB(0, 3, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.88.

Address: 0.0.3.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.88

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

NANP area code 856

The number 856 is an active NANP area code (North American Numbering Plan).

Primary area: Camden / Vineland
Region: New Jersey
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 856 ↗