Number

826

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

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 826 AD

Calendar year

Year 826 (DCCCXXVI) was a common year starting on Monday of the Julian calendar, the 826th year of the Common Era (CE) and Anno Domini (AD) designations, the 826th year of the 1st millennium, the 26th year of the 9th century, and the 7th year of the 820s decade.

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Historical context — 826 BC

Decade

This article concerns the period 829 BC – 820 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 826
Ended on: Thursday
December 31, 826
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 820s
820–829
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,200
1200 years before 2026.

In other calendars

Hebrew: 4586 / 4587 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 210 / 211 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: 1369 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 204 / 205 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 818 / 819 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 748 / 747 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 16
Digit product: 96
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 628
Recamán's sequence: a(2,096) = 826
Square (n²): 682,276
Cube (n³): 563,559,976
Divisor count: 8
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 348
Sum of prime factors: 68

Primality

Prime factorization: 2 × 7 × 59

Nearest primes: 823 (−3) · 827 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 7 · 14 · 59 · 118 · 413 (half) · 826

Aliquot sum (sum of proper divisors): 614

Factor pairs (a × b = 826)

1 × 826

2 × 413

7 × 118

14 × 59

First multiples

826 · 1,652 (double) · 2,478 · 3,304 · 4,130 · 4,956 · 5,782 · 6,608 · 7,434 · 8,260

Sums & aliquot sequence

As consecutive integers: 205 + 206 + 207 + 208 115 + 116 + … + 121 16 + 17 + … + 43

Aliquot sequence: 826 → 614 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: eight hundred twenty-six
Ordinal: 826th
Roman numeral: DCCCXXVI
Binary: 1100111010
Octal: 1472
Hexadecimal: 0x33A
Base64: Azo=
One's complement: 64,709 (16-bit)

In other bases

ternary (3) 1010121

quaternary (4) 30322

quinary (5) 11301

senary (6) 3454

septenary (7) 2260

nonary (9) 1117

undecimal (11) 691

duodecimal (12) 58a

tridecimal (13) 4b7

tetradecimal (14) 430

pentadecimal (15) 3a1

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωκϛʹ
Mayan (base 20): 𝋢·𝋡·𝋦
Chinese: 八百二十六
Chinese (financial): 捌佰貳拾陸

In other modern scripts

Eastern Arabic ٨٢٦ Devanagari ८२६ Bengali ৮২৬ Tamil ௮௨௬ Thai ๘๒๖ Tibetan ༨༢༦ Khmer ៨២៦ Lao ໘໒໖ Burmese ၈၂၆

Digit at this position in famous constants

π — Pi (π): Digit 826 = 2
e — Euler's number (e): Digit 826 = 3
φ — Golden ratio (φ): Digit 826 = 7
√2 — Pythagoras's (√2): Digit 826 = 6
ln 2 — Natural log of 2: Digit 826 = 5
γ — Euler-Mascheroni (γ): Digit 826 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 826, here are decompositions:

3 + 823 = 826
5 + 821 = 826
17 + 809 = 826
29 + 797 = 826
53 + 773 = 826
83 + 743 = 826
107 + 719 = 826
149 + 677 = 826

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Inverted Bridge Below

U+033A

Non-spacing mark (Mn)

UTF-8 encoding: CC BA (2 bytes).

Lookup U+033A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00033A

RGB(0, 3, 58)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.58.

Address: 0.0.3.58
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.58

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