1,061
1,061 is a prime, odd, a calendar year.
1,061 (one thousand sixty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MLXI and in binary, 10000100101.
Interestingness
Historical context — 1061 AD
Calendar year
Year 1061 (MLXI) was a common year starting on Monday 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
-
Tuesday
January 1, 1061
- Ended on
-
Tuesday
December 31, 1061
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1060s
1060–1069
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
965
965 years before 2026.
In other calendars
- Hebrew
-
4821 / 4822 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
452 / 453 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1604 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
439 / 440 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1053 / 1054 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
983 / 982 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,061 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,061 = [32; (1, 1, 2, 1, 12, 3, 5, 1, 1, 2, 15, 1, 8, 2, 1, 2, 1, 1, 2, 1, 2, 8, 1, 15, …)]
Period length 35 — the block in parentheses repeats forever.
Representations
- In words
- one thousand sixty-one
- Ordinal
- 1061st
- Roman numeral
- MLXI
- Binary
- 10000100101
- Octal
- 2045
- Hexadecimal
- 0x425
- Base64
- BCU=
- One's complement
- 64,474 (16-bit)
- Scientific notation
- 1.061 × 10³
- As a duration
- 1,061 s = 17 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵αξαʹ
- Mayan (base 20)
- 𝋢·𝋭·𝋡
- Chinese
- 一千零六十一
- Chinese (financial)
- 壹仟零陸拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,061 = 9
- e — Euler's number (e)
- Digit 1,061 = 9
- φ — Golden ratio (φ)
- Digit 1,061 = 4
- √2 — Pythagoras's (√2)
- Digit 1,061 = 2
- ln 2 — Natural log of 2
- Digit 1,061 = 2
- γ — Euler-Mascheroni (γ)
- Digit 1,061 = 0
Also seen as
UTF-8 encoding: D0 A5 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.37.
- Address
- 0.0.4.37
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.37
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,061 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +24¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -39¢)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +25¢)
The digit sequence 1061 first appears in π at position 43,971 of the decimal expansion (the 43,971ordinal-suffix:st 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.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.