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Number

1,057

1,057 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1057 AD

Calendar year

Year 1057 (MLVII) was a common year starting on Wednesday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1057
Ended on
Thursday
December 31, 1057
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1050s
1050–1059
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
969
969 years before 2026.

In other calendars

Hebrew
4817 / 4818 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
448 / 449 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rooster
Sexagenary cycle position 34 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1600 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
435 / 436 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1049 / 1050 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
979 / 978 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
7,501
Recamán's sequence
a(4,305) = 1,057
Square (n²)
1,117,249
Cube (n³)
1,180,932,193
Divisor count
4
σ(n) — sum of divisors
1,216
φ(n) — Euler's totient
900
Sum of prime factors
158

Primality

Prime factorization: 7 × 151

Nearest primes: 1,051 (−6) · 1,061 (+4)

Divisors & multiples

All divisors (4)
1 · 7 · 151 · 1057
Aliquot sum (sum of proper divisors): 159
Factor pairs (a × b = 1,057)
1 × 1057
7 × 151
First multiples
1,057 · 2,114 (double) · 3,171 · 4,228 · 5,285 · 6,342 · 7,399 · 8,456 · 9,513 · 10,570

Sums & aliquot sequence

As consecutive integers: 528 + 529 148 + 149 + … + 154 69 + 70 + … + 82
Aliquot sequence: 1,057 159 57 23 1 0 — terminates at zero

Representations

In words
one thousand fifty-seven
Ordinal
1057th
Roman numeral
MLVII
Binary
10000100001
Octal
2041
Hexadecimal
0x421
Base64
BCE=
One's complement
64,478 (16-bit)
In other bases
ternary (3) 1110011
quaternary (4) 100201
quinary (5) 13212
senary (6) 4521
septenary (7) 3040
nonary (9) 1404
undecimal (11) 881
duodecimal (12) 741
tridecimal (13) 634
tetradecimal (14) 557
pentadecimal (15) 4a7

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ανζʹ
Mayan (base 20)
𝋢·𝋬·𝋱
Chinese
一千零五十七
Chinese (financial)
壹仟零伍拾柒
In other modern scripts
Eastern Arabic ١٠٥٧ Devanagari १०५७ Bengali ১০৫৭ Tamil ௧௦௫௭ Thai ๑๐๕๗ Tibetan ༡༠༥༧ Khmer ១០៥៧ Lao ໑໐໕໗ Burmese ၁၀၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,057 = 1
e — Euler's number (e)
Digit 1,057 = 5
φ — Golden ratio (φ)
Digit 1,057 = 5
√2 — Pythagoras's (√2)
Digit 1,057 = 9
ln 2 — Natural log of 2
Digit 1,057 = 7
γ — Euler-Mascheroni (γ)
Digit 1,057 = 3

Also seen as

Unicode codepoint
С
Cyrillic Capital Letter Es
U+0421
Uppercase letter (Lu)

UTF-8 encoding: D0 A1 (2 bytes).

Hex color
#000421
RGB(0, 4, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.33.

Address
0.0.4.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.33

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

Position in π

The digit sequence 1057 first appears in π at position 2,810 of the decimal expansion (the 2,810ordinal-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.