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Number

1,053

1,053 is a composite number, odd, a calendar year.

Deficient Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1053 AD

Calendar year

Year 1053 (MLIII) was a common year starting on Friday 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
Saturday
January 1, 1053
Ended on
Saturday
December 31, 1053
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
973
973 years before 2026.

In other calendars

Hebrew
4813 / 4814 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
444 / 445 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1596 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
431 / 432 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1045 / 1046 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
975 / 974 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
3,501
Recamán's sequence
a(4,313) = 1,053
Square (n²)
1,108,809
Cube (n³)
1,167,575,877
Divisor count
10
σ(n) — sum of divisors
1,694
φ(n) — Euler's totient
648
Sum of prime factors
25

Primality

Prime factorization: 3 4 × 13

Nearest primes: 1,051 (−2) · 1,061 (+8)

Divisors & multiples

All divisors (10)
1 · 3 · 9 · 13 · 27 · 39 · 81 · 117 · 351 · 1053
Aliquot sum (sum of proper divisors): 641
Factor pairs (a × b = 1,053)
1 × 1053
3 × 351
9 × 117
13 × 81
27 × 39
First multiples
1,053 · 2,106 (double) · 3,159 · 4,212 · 5,265 · 6,318 · 7,371 · 8,424 · 9,477 · 10,530

Sums & aliquot sequence

As a sum of two squares: 18² + 27²
As consecutive integers: 526 + 527 350 + 351 + 352 173 + 174 + 175 + 176 + 177 + 178 113 + 114 + … + 121
Aliquot sequence: 1,053 641 1 0 — terminates at zero

Representations

In words
one thousand fifty-three
Ordinal
1053rd
Roman numeral
MLIII
Binary
10000011101
Octal
2035
Hexadecimal
0x41D
Base64
BB0=
One's complement
64,482 (16-bit)
In other bases
ternary (3) 1110000
quaternary (4) 100131
quinary (5) 13203
senary (6) 4513
septenary (7) 3033
nonary (9) 1400
undecimal (11) 878
duodecimal (12) 739
tridecimal (13) 630
tetradecimal (14) 553
pentadecimal (15) 4a3

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ανγʹ
Mayan (base 20)
𝋢·𝋬·𝋭
Chinese
一千零五十三
Chinese (financial)
壹仟零伍拾參
In other modern scripts
Eastern Arabic ١٠٥٣ Devanagari १०५३ Bengali ১০৫৩ Tamil ௧௦௫௩ Thai ๑๐๕๓ Tibetan ༡༠༥༣ Khmer ១០៥៣ Lao ໑໐໕໓ Burmese ၁၀၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,053 = 3
e — Euler's number (e)
Digit 1,053 = 4
φ — Golden ratio (φ)
Digit 1,053 = 0
√2 — Pythagoras's (√2)
Digit 1,053 = 5
ln 2 — Natural log of 2
Digit 1,053 = 9
γ — Euler-Mascheroni (γ)
Digit 1,053 = 9

Also seen as

Unicode codepoint
Н
Cyrillic Capital Letter En
U+041D
Uppercase letter (Lu)

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

Hex color
#00041D
RGB(0, 4, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.29.

Address
0.0.4.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.29

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

Position in π

The digit sequence 1053 first appears in π at position 22,536 of the decimal expansion (the 22,536ordinal-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.