number.wiki
Number

802

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

Deficient Number Evil Number Happy Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 802 AD

Calendar year

Year 802 (DCCCII) was a common year starting on Saturday of the Julian calendar, the 802nd year of the Common Era (CE) and Anno Domini (AD) designations, the 802nd year of the 1st millennium, the 2nd year of the 9th century, and the 3rd year of the 800s decade.

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

Historical context — 802 BC

Decade

This article concerns the period 809 BC – 800 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
52
Started on
Tuesday
January 1, 802
Ended on
Tuesday
December 31, 802
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
800s
800–809
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,224
1224 years before 2026.

In other calendars

Hebrew
4562 / 4563 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
185 / 186 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Horse
Sexagenary cycle position 19 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1345 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
180 / 181 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
794 / 795 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
724 / 723 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
10 bits
Reversed
208
Recamán's sequence
a(287) = 802
Square (n²)
643,204
Cube (n³)
515,849,608
Divisor count
4
σ(n) — sum of divisors
1,206
φ(n) — Euler's totient
400
Sum of prime factors
403

Primality

Prime factorization: 2 × 401

Nearest primes: 797 (−5) · 809 (+7)

Divisors & multiples

All divisors (4)
1 · 2 · 401 (half) · 802
Aliquot sum (sum of proper divisors): 404
Factor pairs (a × b = 802)
1 × 802
2 × 401
First multiples
802 · 1,604 (double) · 2,406 · 3,208 · 4,010 · 4,812 · 5,614 · 6,416 · 7,218 · 8,020

Sums & aliquot sequence

As a sum of two squares: 19² + 21²
As consecutive integers: 199 + 200 + 201 + 202
Aliquot sequence: 802 404 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
eight hundred two
Ordinal
802nd
Roman numeral
DCCCII
Binary
1100100010
Octal
1442
Hexadecimal
0x322
Base64
AyI=
One's complement
64,733 (16-bit)
In other bases
ternary (3) 1002201
quaternary (4) 30202
quinary (5) 11202
senary (6) 3414
septenary (7) 2224
nonary (9) 1081
undecimal (11) 66a
duodecimal (12) 56a
tridecimal (13) 499
tetradecimal (14) 414
pentadecimal (15) 387

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
ωβʹ
Mayan (base 20)
𝋢·𝋠·𝋢
Chinese
八百零二
Chinese (financial)
捌佰零貳
In other modern scripts
Eastern Arabic ٨٠٢ Devanagari ८०२ Bengali ৮০২ Tamil ௮௦௨ Thai ๘๐๒ Tibetan ༨༠༢ Khmer ៨០២ Lao ໘໐໒ Burmese ၈၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 802 = 5
e — Euler's number (e)
Digit 802 = 8
φ — Golden ratio (φ)
Digit 802 = 3
√2 — Pythagoras's (√2)
Digit 802 = 6
ln 2 — Natural log of 2
Digit 802 = 4
γ — Euler-Mascheroni (γ)
Digit 802 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 802, here are decompositions:

  • 5 + 797 = 802
  • 29 + 773 = 802
  • 41 + 761 = 802
  • 59 + 743 = 802
  • 83 + 719 = 802
  • 101 + 701 = 802
  • 149 + 653 = 802
  • 233 + 569 = 802

Showing the first eight; more decompositions exist.

Unicode codepoint
̢
Combining Retroflex Hook Below
U+0322
Non-spacing mark (Mn)

UTF-8 encoding: CC A2 (2 bytes).

Hex color
#000322
RGB(0, 3, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.34.

Address
0.0.3.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.34

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

NANP area code 802

The number 802 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
Vermont
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.