1,031
1,031 is a prime, odd, a calendar year.
1,031 (one thousand thirty-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 MXXXI and in binary, 10000000111.
Interestingness
Historical context — 1031 AD
Calendar year
Year 1031 (MXXXI) 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, 1031
- Ended on
-
Saturday
December 31, 1031
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1030s
1030–1039
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
995
995 years before 2026.
In other calendars
- Hebrew
-
4791 / 4792 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
421 / 423 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1574 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
409 / 410 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1023 / 1024 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
953 / 952 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,031 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,031 = [32; (9, 6, 3, 4, 1, 1, 1, 1, 1, 12, 4, 1, 1, 31, 1, 1, 4, 12, 1, 1, 1, 1, 1, 4, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one thousand thirty-one
- Ordinal
- 1031st
- Roman numeral
- MXXXI
- Binary
- 10000000111
- Octal
- 2007
- Hexadecimal
- 0x407
- Base64
- BAc=
- One's complement
- 64,504 (16-bit)
- Scientific notation
- 1.031 × 10³
- As a duration
- 1,031 s = 17 minutes, 11 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵αλαʹ
- Mayan (base 20)
- 𝋢·𝋫·𝋫
- Chinese
- 一千零三十一
- Chinese (financial)
- 壹仟零參拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,031 = 1
- e — Euler's number (e)
- Digit 1,031 = 0
- φ — Golden ratio (φ)
- Digit 1,031 = 6
- √2 — Pythagoras's (√2)
- Digit 1,031 = 5
- ln 2 — Natural log of 2
- Digit 1,031 = 6
- γ — Euler-Mascheroni (γ)
- Digit 1,031 = 7
Also seen as
UTF-8 encoding: D0 87 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.7.
- Address
- 0.0.4.7
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.7
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,031 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -26¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +12¢)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -25¢)
The digit sequence 1031 first appears in π at position 3,494 of the decimal expansion (the 3,494ordinal-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.
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.