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Number

1,050

1,050 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1050 AD

Calendar year

Year 1050 (ML) was a common year starting on Monday of the Julian calendar.

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, 1050
Ended on
Tuesday
December 31, 1050
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1050s
1050–1059
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
976
976 years before 2026.

In other calendars

Hebrew
4810 / 4811 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
441 / 442 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1593 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
428 / 429 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1042 / 1043 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
972 / 971 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
501
Recamán's sequence
a(4,319) = 1,050
Square (n²)
1,102,500
Cube (n³)
1,157,625,000
Divisor count
24
σ(n) — sum of divisors
2,976
φ(n) — Euler's totient
240
Sum of prime factors
22

Primality

Prime factorization: 2 × 3 × 5 2 × 7

Nearest primes: 1,049 (−1) · 1,051 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 21 · 25 · 30 · 35 · 42 · 50 · 70 · 75 · 105 · 150 · 175 · 210 · 350 · 525 (half) · 1050
Aliquot sum (sum of proper divisors): 1,926
Factor pairs (a × b = 1,050)
1 × 1050
2 × 525
3 × 350
5 × 210
6 × 175
7 × 150
10 × 105
14 × 75
15 × 70
21 × 50
25 × 42
30 × 35
First multiples
1,050 · 2,100 (double) · 3,150 · 4,200 · 5,250 · 6,300 · 7,350 · 8,400 · 9,450 · 10,500

Sums & aliquot sequence

As consecutive integers: 349 + 350 + 351 261 + 262 + 263 + 264 208 + 209 + 210 + 211 + 212 147 + 148 + … + 153
Aliquot sequence: 1,050 1,926 2,286 2,706 3,342 3,354 4,038 4,050 7,203 4,001 1 0 — terminates at zero

Representations

In words
one thousand fifty
Ordinal
1050th
Roman numeral
ML
Binary
10000011010
Octal
2032
Hexadecimal
0x41A
Base64
BBo=
One's complement
64,485 (16-bit)
In other bases
ternary (3) 1102220
quaternary (4) 100122
quinary (5) 13200
senary (6) 4510
septenary (7) 3030
nonary (9) 1386
undecimal (11) 875
duodecimal (12) 736
tridecimal (13) 62a
tetradecimal (14) 550
pentadecimal (15) 4a0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ανʹ
Mayan (base 20)
𝋢·𝋬·𝋪
Chinese
一千零五十
Chinese (financial)
壹仟零伍拾
In other modern scripts
Eastern Arabic ١٠٥٠ Devanagari १०५० Bengali ১০৫০ Tamil ௧௦௫௦ Thai ๑๐๕๐ Tibetan ༡༠༥༠ Khmer ១០៥០ Lao ໑໐໕໐ Burmese ၁၀၅၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,050 = 5
e — Euler's number (e)
Digit 1,050 = 2
φ — Golden ratio (φ)
Digit 1,050 = 8
√2 — Pythagoras's (√2)
Digit 1,050 = 6
ln 2 — Natural log of 2
Digit 1,050 = 7
γ — Euler-Mascheroni (γ)
Digit 1,050 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050, here are decompositions:

  • 11 + 1039 = 1050
  • 17 + 1033 = 1050
  • 19 + 1031 = 1050
  • 29 + 1021 = 1050
  • 31 + 1019 = 1050
  • 37 + 1013 = 1050
  • 41 + 1009 = 1050
  • 53 + 997 = 1050

Showing the first eight; more decompositions exist.

Unicode codepoint
К
Cyrillic Capital Letter Ka
U+041A
Uppercase letter (Lu)

UTF-8 encoding: D0 9A (2 bytes).

Hex color
#00041A
RGB(0, 4, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.26.

Address
0.0.4.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.26

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

Position in π

The digit sequence 1050 first appears in π at position 681 of the decimal expansion (the 681ordinal-suffix:st 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.