971
971 is a prime, odd, a calendar year.
971 (nine hundred seventy-one) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CMLXXI and in binary, 1111001011.
Interestingness
Historical context — 971 AD
Calendar year
Year 971 (CMLXXI) was a common year starting on Sunday of the Julian calendar.
Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →
Historical context — 971 BC
Decade
The 970s BC is a decade that lasted from 979 BC to 970 BC.
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
-
Tuesday
January 1, 971
- Ended on
-
Tuesday
December 31, 971
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
970s
970–979
- Century
-
10th century
901–1000
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,055
1055 years before 2026.
In other calendars
- Hebrew
-
4731 / 4732 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
360 / 361 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
-
1514 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
349 / 350 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
963 / 964 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
893 / 892 Saka
Indian national calendar; year starts in March.
Properties
Primality
971 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√971 = [31; (6, 4, 1, 1, 1, 2, 5, 3, 2, 12, 31, 12, 2, 3, 5, 2, 1, 1, 1, 4, 6, 62)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred seventy-one
- Ordinal
- 971st
- Roman numeral
- CMLXXI
- Binary
- 1111001011
- Octal
- 1713
- Hexadecimal
- 0x3CB
- Base64
- A8s=
- One's complement
- 64,564 (16-bit)
- Scientific notation
- 9.71 × 10²
- As a duration
- 971 s = 16 minutes, 11 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ϡοαʹ
- Mayan (base 20)
- 𝋢·𝋨·𝋫
- Chinese
- 九百七十一
- Chinese (financial)
- 玖佰柒拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 971 = 6
- e — Euler's number (e)
- Digit 971 = 6
- φ — Golden ratio (φ)
- Digit 971 = 2
- √2 — Pythagoras's (√2)
- Digit 971 = 9
- ln 2 — Natural log of 2
- Digit 971 = 2
- γ — Euler-Mascheroni (γ)
- Digit 971 = 3
Also seen as
UTF-8 encoding: CF 8B (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.203.
- Address
- 0.0.3.203
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.203
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 971 is an active NANP area code (North American Numbering Plan).
- Primary area
- Portland
- Region
- Oregon
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 971 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -30¢)
- Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +8¢)
- Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -28¢)
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.