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Number

1,056

1,056 is a composite number, even, a calendar year.

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

Historical context — 1056 AD

Calendar year

Year 1056 (MLVI) was a leap 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Tuesday
January 1, 1056
Ended on
Wednesday
December 31, 1056
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
970
970 years before 2026.

In other calendars

Hebrew
4816 / 4817 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
447 / 448 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1599 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
434 / 435 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1048 / 1049 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
978 / 977 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
6,501
Recamán's sequence
a(4,307) = 1,056
Square (n²)
1,115,136
Cube (n³)
1,177,583,616
Divisor count
24
σ(n) — sum of divisors
3,024
φ(n) — Euler's totient
320
Sum of prime factors
24

Primality

Prime factorization: 2 5 × 3 × 11

Nearest primes: 1,051 (−5) · 1,061 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 132 · 176 · 264 · 352 · 528 (half) · 1056
Aliquot sum (sum of proper divisors): 1,968
Factor pairs (a × b = 1,056)
1 × 1056
2 × 528
3 × 352
4 × 264
6 × 176
8 × 132
11 × 96
12 × 88
16 × 66
22 × 48
24 × 44
32 × 33
First multiples
1,056 · 2,112 (double) · 3,168 · 4,224 · 5,280 · 6,336 · 7,392 · 8,448 · 9,504 · 10,560

Sums & aliquot sequence

As consecutive integers: 351 + 352 + 353 91 + 92 + … + 101 16 + 17 + … + 48
Aliquot sequence: 1,056 1,968 3,240 7,650 14,112 32,571 27,333 12,161 1 0 — terminates at zero

Representations

In words
one thousand fifty-six
Ordinal
1056th
Roman numeral
MLVI
Binary
10000100000
Octal
2040
Hexadecimal
0x420
Base64
BCA=
One's complement
64,479 (16-bit)
In other bases
ternary (3) 1110010
quaternary (4) 100200
quinary (5) 13211
senary (6) 4520
septenary (7) 3036
nonary (9) 1403
undecimal (11) 880
duodecimal (12) 740
tridecimal (13) 633
tetradecimal (14) 556
pentadecimal (15) 4a6

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ανϛʹ
Mayan (base 20)
𝋢·𝋬·𝋰
Chinese
一千零五十六
Chinese (financial)
壹仟零伍拾陸
In other modern scripts
Eastern Arabic ١٠٥٦ Devanagari १०५६ Bengali ১০৫৬ Tamil ௧௦௫௬ Thai ๑๐๕๖ Tibetan ༡༠༥༦ Khmer ១០៥៦ Lao ໑໐໕໖ Burmese ၁၀၅၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,056 = 0
e — Euler's number (e)
Digit 1,056 = 1
φ — Golden ratio (φ)
Digit 1,056 = 9
√2 — Pythagoras's (√2)
Digit 1,056 = 2
ln 2 — Natural log of 2
Digit 1,056 = 4
γ — Euler-Mascheroni (γ)
Digit 1,056 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056, here are decompositions:

  • 5 + 1051 = 1056
  • 7 + 1049 = 1056
  • 17 + 1039 = 1056
  • 23 + 1033 = 1056
  • 37 + 1019 = 1056
  • 43 + 1013 = 1056
  • 47 + 1009 = 1056
  • 59 + 997 = 1056

Showing the first eight; more decompositions exist.

Unicode codepoint
Р
Cyrillic Capital Letter Er
U+0420
Uppercase letter (Lu)

UTF-8 encoding: D0 A0 (2 bytes).

Hex color
#000420
RGB(0, 4, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.32.

Address
0.0.4.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.32

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

Position in π

The digit sequence 1056 first appears in π at position 25,547 of the decimal expansion (the 25,547ordinal-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.