Number

1,050

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

1,050 (one thousand fifty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 5² × 7. Its proper divisors sum to 1,926, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is ML and in binary, 10000011010.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,038 1,039 1,040 1,041 1,042 1,043 1,044 1,045 1,046 1,047 1,048 1,049 1,050 1,051 1,052 1,053 1,054 1,055 1,056 1,057 1,058 1,059 1,060 1,061 1,062

less more

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 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

Continued fraction of √n

√1,050 = [32; (2, 2, 10, 2, 2, 64)]

Period length 6 — the block in parentheses repeats forever.

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)
Scientific notation: 1.05 × 10³
As a duration: 1,050 s = 17 minutes, 30 seconds

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

As an angle

1,050° = 2 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Ka

U+041A

Uppercase letter (Lu)

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

Lookup U+041A on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,050 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +43¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +7¢)

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.

Look up 1050 on Pi Search ↗