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Number

1,052

1,052 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Year

Historical context — 1052 AD

Calendar year

Year 1052 (MLII) was a leap year starting on Wednesday 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1052
Ended on
Friday
December 31, 1052
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
974
974 years before 2026.

In other calendars

Hebrew
4812 / 4813 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
443 / 444 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1595 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
430 / 431 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1044 / 1045 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
974 / 973 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
2,501
Recamán's sequence
a(4,315) = 1,052
Square (n²)
1,106,704
Cube (n³)
1,164,252,608
Divisor count
6
σ(n) — sum of divisors
1,848
φ(n) — Euler's totient
524
Sum of prime factors
267

Primality

Prime factorization: 2 2 × 263

Nearest primes: 1,051 (−1) · 1,061 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 263 · 526 (half) · 1052
Aliquot sum (sum of proper divisors): 796
Factor pairs (a × b = 1,052)
1 × 1052
2 × 526
4 × 263
First multiples
1,052 · 2,104 (double) · 3,156 · 4,208 · 5,260 · 6,312 · 7,364 · 8,416 · 9,468 · 10,520

Sums & aliquot sequence

As consecutive integers: 128 + 129 + … + 135
Aliquot sequence: 1,052 796 604 460 548 418 302 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand fifty-two
Ordinal
1052nd
Roman numeral
MLII
Binary
10000011100
Octal
2034
Hexadecimal
0x41C
Base64
BBw=
One's complement
64,483 (16-bit)
In other bases
ternary (3) 1102222
quaternary (4) 100130
quinary (5) 13202
senary (6) 4512
septenary (7) 3032
nonary (9) 1388
undecimal (11) 877
duodecimal (12) 738
tridecimal (13) 62c
tetradecimal (14) 552
pentadecimal (15) 4a2

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ανβʹ
Mayan (base 20)
𝋢·𝋬·𝋬
Chinese
一千零五十二
Chinese (financial)
壹仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠٥٢ Devanagari १०५२ Bengali ১০৫২ Tamil ௧௦௫௨ Thai ๑๐๕๒ Tibetan ༡༠༥༢ Khmer ១០៥២ Lao ໑໐໕໒ Burmese ၁၀၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,052 = 0
e — Euler's number (e)
Digit 1,052 = 7
φ — Golden ratio (φ)
Digit 1,052 = 5
√2 — Pythagoras's (√2)
Digit 1,052 = 7
ln 2 — Natural log of 2
Digit 1,052 = 9
γ — Euler-Mascheroni (γ)
Digit 1,052 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052, here are decompositions:

  • 3 + 1049 = 1052
  • 13 + 1039 = 1052
  • 19 + 1033 = 1052
  • 31 + 1021 = 1052
  • 43 + 1009 = 1052
  • 61 + 991 = 1052
  • 193 + 859 = 1052
  • 199 + 853 = 1052

Showing the first eight; more decompositions exist.

Unicode codepoint
М
Cyrillic Capital Letter Em
U+041C
Uppercase letter (Lu)

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

Hex color
#00041C
RGB(0, 4, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.28.

Address
0.0.4.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.28

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

Position in π

The digit sequence 1052 first appears in π at position 3,982 of the decimal expansion (the 3,982ordinal-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.