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Number

1,051

1,051 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime Year

Historical context — 1051 AD

Calendar year

Year 1051 (MLI) was a common year starting on Tuesday 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
Wednesday
January 1, 1051
Ended on
Wednesday
December 31, 1051
Friday the 13ths
1
One Friday the 13th this year.
Decade
1050s
1050–1059
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
975
975 years before 2026.

In other calendars

Hebrew
4811 / 4812 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
442 / 443 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Rabbit
Sexagenary cycle position 28 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1594 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
429 / 430 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1043 / 1044 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
973 / 972 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
1,501
Recamán's sequence
a(4,317) = 1,051
Square (n²)
1,104,601
Cube (n³)
1,160,935,651
Divisor count
2
σ(n) — sum of divisors
1,052
φ(n) — Euler's totient
1,050

Primality

1,051 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1051
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,051)
1 × 1051
First multiples
1,051 · 2,102 (double) · 3,153 · 4,204 · 5,255 · 6,306 · 7,357 · 8,408 · 9,459 · 10,510

Sums & aliquot sequence

As consecutive integers: 525 + 526

Representations

In words
one thousand fifty-one
Ordinal
1051st
Roman numeral
MLI
Binary
10000011011
Octal
2033
Hexadecimal
0x41B
Base64
BBs=
One's complement
64,484 (16-bit)
In other bases
ternary (3) 1102221
quaternary (4) 100123
quinary (5) 13201
senary (6) 4511
septenary (7) 3031
nonary (9) 1387
undecimal (11) 876
duodecimal (12) 737
tridecimal (13) 62b
tetradecimal (14) 551
pentadecimal (15) 4a1

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αναʹ
Mayan (base 20)
𝋢·𝋬·𝋫
Chinese
一千零五十一
Chinese (financial)
壹仟零伍拾壹
In other modern scripts
Eastern Arabic ١٠٥١ Devanagari १०५१ Bengali ১০৫১ Tamil ௧௦௫௧ Thai ๑๐๕๑ Tibetan ༡༠༥༡ Khmer ១០៥១ Lao ໑໐໕໑ Burmese ၁၀၅၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,051 = 2
e — Euler's number (e)
Digit 1,051 = 4
φ — Golden ratio (φ)
Digit 1,051 = 9
√2 — Pythagoras's (√2)
Digit 1,051 = 1
ln 2 — Natural log of 2
Digit 1,051 = 1
γ — Euler-Mascheroni (γ)
Digit 1,051 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,049 (gap of 2)
  • Next prime: 1,061 (gap of 10)

Pair status: twin with 1049.

Unicode codepoint
Л
Cyrillic Capital Letter El
U+041B
Uppercase letter (Lu)

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

Hex color
#00041B
RGB(0, 4, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.27.

Address
0.0.4.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.27

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

Position in π

The digit sequence 1051 first appears in π at position 442 of the decimal expansion (the 442ordinal-suffix:nd 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.