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Number

1,059

1,059 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1059 AD

Calendar year

Year 1059 (MLIX) 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, 1059
Ended on
Saturday
December 31, 1059
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
967
967 years before 2026.

In other calendars

Hebrew
4819 / 4820 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
450 / 451 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Pig
Sexagenary cycle position 36 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1602 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
437 / 438 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1051 / 1052 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
981 / 980 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
9,501
Recamán's sequence
a(4,301) = 1,059
Square (n²)
1,121,481
Cube (n³)
1,187,648,379
Divisor count
4
σ(n) — sum of divisors
1,416
φ(n) — Euler's totient
704
Sum of prime factors
356

Primality

Prime factorization: 3 × 353

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

Divisors & multiples

All divisors (4)
1 · 3 · 353 · 1059
Aliquot sum (sum of proper divisors): 357
Factor pairs (a × b = 1,059)
1 × 1059
3 × 353
First multiples
1,059 · 2,118 (double) · 3,177 · 4,236 · 5,295 · 6,354 · 7,413 · 8,472 · 9,531 · 10,590

Sums & aliquot sequence

As consecutive integers: 529 + 530 352 + 353 + 354 174 + 175 + 176 + 177 + 178 + 179
Aliquot sequence: 1,059 357 219 77 19 1 0 — terminates at zero

Representations

In words
one thousand fifty-nine
Ordinal
1059th
Roman numeral
MLIX
Binary
10000100011
Octal
2043
Hexadecimal
0x423
Base64
BCM=
One's complement
64,476 (16-bit)
In other bases
ternary (3) 1110020
quaternary (4) 100203
quinary (5) 13214
senary (6) 4523
septenary (7) 3042
nonary (9) 1406
undecimal (11) 883
duodecimal (12) 743
tridecimal (13) 636
tetradecimal (14) 559
pentadecimal (15) 4a9

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ανθʹ
Mayan (base 20)
𝋢·𝋬·𝋳
Chinese
一千零五十九
Chinese (financial)
壹仟零伍拾玖
In other modern scripts
Eastern Arabic ١٠٥٩ Devanagari १०५९ Bengali ১০৫৯ Tamil ௧௦௫௯ Thai ๑๐๕๙ Tibetan ༡༠༥༩ Khmer ១០៥៩ Lao ໑໐໕໙ Burmese ၁၀၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,059 = 5
e — Euler's number (e)
Digit 1,059 = 5
φ — Golden ratio (φ)
Digit 1,059 = 0
√2 — Pythagoras's (√2)
Digit 1,059 = 6
ln 2 — Natural log of 2
Digit 1,059 = 4
γ — Euler-Mascheroni (γ)
Digit 1,059 = 5

Also seen as

Unicode codepoint
У
Cyrillic Capital Letter U
U+0423
Uppercase letter (Lu)

UTF-8 encoding: D0 A3 (2 bytes).

Hex color
#000423
RGB(0, 4, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.35.

Address
0.0.4.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.35

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

Position in π

The digit sequence 1059 first appears in π at position 780 of the decimal expansion (the 780ordinal-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.