Number

1,059

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

1,059 (one thousand fifty-nine) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 353. Written other ways, in Roman numerals it is MLIX and in binary, 10000100011.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,047 1,048 1,049 1,050 1,051 1,052 1,053 1,054 1,055 1,056 1,057 1,058 1,059 1,060 1,061 1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071

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Historical context — 1059 AD

Calendar year

Year 1059 (MLIX) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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

Continued fraction of √n

√1,059 = [32; (1, 1, 5, 2, 2, 2, 1, 2, 3, 1, 31, 1, 3, 2, 1, 2, 2, 2, 5, 1, 1, 64)]

Period length 22 — the block in parentheses repeats forever.

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)
Scientific notation: 1.059 × 10³
As a duration: 1,059 s = 17 minutes, 39 seconds

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

Palindromic in base 13

As an angle

1,059° = 2 × 360° + 339°

339° ≈ 5.917 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter U

U+0423

Uppercase letter (Lu)

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

Lookup U+0423 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,059 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -42¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +22¢)

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.

Look up 1059 on Pi Search ↗