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Number

1,030

1,030 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1030 AD

Calendar year

Year 1030 (MXXX) was a common year starting on Thursday of the Julian calendar.

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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
Friday
January 1, 1030
Ended on
Friday
December 31, 1030
Friday the 13ths
1
One Friday the 13th this year.
Decade
1030s
1030–1039
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
996
996 years before 2026.

In other calendars

Hebrew
4790 / 4791 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
420 / 421 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1573 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
408 / 409 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1022 / 1023 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
952 / 951 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
301
Recamán's sequence
a(4,359) = 1,030
Square (n²)
1,060,900
Cube (n³)
1,092,727,000
Divisor count
8
σ(n) — sum of divisors
1,872
φ(n) — Euler's totient
408
Sum of prime factors
110

Primality

Prime factorization: 2 × 5 × 103

Nearest primes: 1,021 (−9) · 1,031 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 103 · 206 · 515 (half) · 1030
Aliquot sum (sum of proper divisors): 842
Factor pairs (a × b = 1,030)
1 × 1030
2 × 515
5 × 206
10 × 103
First multiples
1,030 · 2,060 (double) · 3,090 · 4,120 · 5,150 · 6,180 · 7,210 · 8,240 · 9,270 · 10,300

Sums & aliquot sequence

As consecutive integers: 256 + 257 + 258 + 259 204 + 205 + 206 + 207 + 208 42 + 43 + … + 61
Aliquot sequence: 1,030 842 424 386 196 203 37 1 0 — terminates at zero

Representations

In words
one thousand thirty
Ordinal
1030th
Roman numeral
MXXX
Binary
10000000110
Octal
2006
Hexadecimal
0x406
Base64
BAY=
One's complement
64,505 (16-bit)
In other bases
ternary (3) 1102011
quaternary (4) 100012
quinary (5) 13110
senary (6) 4434
septenary (7) 3001
nonary (9) 1364
undecimal (11) 857
duodecimal (12) 71a
tridecimal (13) 613
tetradecimal (14) 538
pentadecimal (15) 48a

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆
Greek (Milesian)
͵αλʹ
Mayan (base 20)
𝋢·𝋫·𝋪
Chinese
一千零三十
Chinese (financial)
壹仟零參拾
In other modern scripts
Eastern Arabic ١٠٣٠ Devanagari १०३० Bengali ১০৩০ Tamil ௧௦௩௦ Thai ๑๐๓๐ Tibetan ༡༠༣༠ Khmer ១០៣០ Lao ໑໐໓໐ Burmese ၁၀၃၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,030 = 6
e — Euler's number (e)
Digit 1,030 = 1
φ — Golden ratio (φ)
Digit 1,030 = 4
√2 — Pythagoras's (√2)
Digit 1,030 = 3
ln 2 — Natural log of 2
Digit 1,030 = 5
γ — Euler-Mascheroni (γ)
Digit 1,030 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1030, here are decompositions:

  • 11 + 1019 = 1030
  • 17 + 1013 = 1030
  • 47 + 983 = 1030
  • 53 + 977 = 1030
  • 59 + 971 = 1030
  • 83 + 947 = 1030
  • 89 + 941 = 1030
  • 101 + 929 = 1030

Showing the first eight; more decompositions exist.

Unicode codepoint
І
Cyrillic Capital Letter Byelorussian-Ukrainian I
U+0406
Uppercase letter (Lu)

UTF-8 encoding: D0 86 (2 bytes).

Hex color
#000406
RGB(0, 4, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.6.

Address
0.0.4.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.6

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

Position in π

The digit sequence 1030 first appears in π at position 20,818 of the decimal expansion (the 20,818ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.