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Number

830

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

Arithmetic Number Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 830 AD

Calendar year

Year 830 (DCCCXXX) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 830 BC

Decade

This article concerns the period 839 BC – 830 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, 830
Ended on
Tuesday
December 31, 830
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
830s
830–839
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,196
1196 years before 2026.

In other calendars

Hebrew
4590 / 4591 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
214 / 215 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1373 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
208 / 209 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
822 / 823 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
752 / 751 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
38
Recamán's sequence
a(30,764) = 830
Square (n²)
688,900
Cube (n³)
571,787,000
Divisor count
8
σ(n) — sum of divisors
1,512
φ(n) — Euler's totient
328
Sum of prime factors
90

Primality

Prime factorization: 2 × 5 × 83

Nearest primes: 829 (−1) · 839 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 83 · 166 · 415 (half) · 830
Aliquot sum (sum of proper divisors): 682
Factor pairs (a × b = 830)
1 × 830
2 × 415
5 × 166
10 × 83
First multiples
830 · 1,660 (double) · 2,490 · 3,320 · 4,150 · 4,980 · 5,810 · 6,640 · 7,470 · 8,300

Sums & aliquot sequence

As consecutive integers: 206 + 207 + 208 + 209 164 + 165 + 166 + 167 + 168 32 + 33 + … + 51
Aliquot sequence: 830 682 470 394 200 265 59 1 0 — terminates at zero

Representations

In words
eight hundred thirty
Ordinal
830th
Roman numeral
DCCCXXX
Binary
1100111110
Octal
1476
Hexadecimal
0x33E
Base64
Az4=
One's complement
64,705 (16-bit)
In other bases
ternary (3) 1010202
quaternary (4) 30332
quinary (5) 11310
senary (6) 3502
septenary (7) 2264
nonary (9) 1122
undecimal (11) 695
duodecimal (12) 592
tridecimal (13) 4bb
tetradecimal (14) 434
pentadecimal (15) 3a5

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
ωλʹ
Mayan (base 20)
𝋢·𝋡·𝋪
Chinese
八百三十
Chinese (financial)
捌佰參拾
In other modern scripts
Eastern Arabic ٨٣٠ Devanagari ८३० Bengali ৮৩০ Tamil ௮௩௦ Thai ๘๓๐ Tibetan ༨༣༠ Khmer ៨៣០ Lao ໘໓໐ Burmese ၈၃၀

Digit at this position in famous constants

π — Pi (π)
Digit 830 = 2
e — Euler's number (e)
Digit 830 = 0
φ — Golden ratio (φ)
Digit 830 = 1
√2 — Pythagoras's (√2)
Digit 830 = 6
ln 2 — Natural log of 2
Digit 830 = 3
γ — Euler-Mascheroni (γ)
Digit 830 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 830, here are decompositions:

  • 3 + 827 = 830
  • 7 + 823 = 830
  • 19 + 811 = 830
  • 43 + 787 = 830
  • 61 + 769 = 830
  • 73 + 757 = 830
  • 79 + 751 = 830
  • 97 + 733 = 830

Showing the first eight; more decompositions exist.

Unicode codepoint
̾
Combining Vertical Tilde
U+033E
Non-spacing mark (Mn)

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

Hex color
#00033E
RGB(0, 3, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.62.

Address
0.0.3.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.62

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

NANP area code 830

The number 830 is an active NANP area code (North American Numbering Plan).

Primary area
New Braunfels / Del Rio
Region
Texas
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.