Number

1,971

1,971 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Year

Notable events — 1971 AD

Jan 25 Idi Amin seizes power in Uganda in a military coup.
Feb 4 The NASDAQ stock exchange is founded in New York.
Aug 15 President Nixon ends US dollar convertibility to gold, ending the Bretton Woods system.
Oct 25 The UN admits the People's Republic of China and expels Taiwan.
Dec 16 Bangladesh declares independence after the Bangladesh Liberation War.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Friday
January 1, 1971
Ended on: Friday
December 31, 1971
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 11
Sunday, April 11, 1971
Decade: 1970s
1970–1979
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 55
55 years before 2026.

In other calendars

Hebrew: 5731 / 5732 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1390 / 1391 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2514 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1349 / 1350 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1963 / 1964 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1893 / 1892 Saka
Indian national calendar; year starts in March.
Japanese: Shōwa 46
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Odd
Digit count: 4
Digit sum: 18
Digit product: 63
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 1,791
Recamán's sequence: a(3,809) = 1,971
Square (n²): 3,884,841
Cube (n³): 7,657,021,611
Divisor count: 8
σ(n) — sum of divisors: 2,960
φ(n) — Euler's totient: 1,296
Sum of prime factors: 82

Primality

Prime factorization: 3 ³ × 73

Nearest primes: 1,951 (−20) · 1,973 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 9 · 27 · 73 · 219 · 657 · 1971

Aliquot sum (sum of proper divisors): 989

Factor pairs (a × b = 1,971)

1 × 1971

3 × 657

9 × 219

27 × 73

First multiples

1,971 · 3,942 (double) · 5,913 · 7,884 · 9,855 · 11,826 · 13,797 · 15,768 · 17,739 · 19,710

Sums & aliquot sequence

As consecutive integers: 985 + 986 656 + 657 + 658 326 + 327 + 328 + 329 + 330 + 331 215 + 216 + … + 223

Aliquot sequence: 1,971 → 989 → 67 → 1 → 0 — terminates at zero

Representations

In words: one thousand nine hundred seventy-one
Ordinal: 1971st
Roman numeral: MCMLXXI
Binary: 11110110011
Octal: 3663
Hexadecimal: 0x7B3
Base64: B7M=
One's complement: 63,564 (16-bit)

In other bases

ternary (3) 2201000

quaternary (4) 132303

quinary (5) 30341

senary (6) 13043

septenary (7) 5514

nonary (9) 2630

undecimal (11) 1532

duodecimal (12) 1183

tridecimal (13) b88

tetradecimal (14) a0b

pentadecimal (15) 8b6

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵αϡοαʹ
Mayan (base 20): 𝋤·𝋲·𝋫
Chinese: 一千九百七十一
Chinese (financial): 壹仟玖佰柒拾壹

In other modern scripts

Eastern Arabic ١٩٧١ Devanagari १९७१ Bengali ১৯৭১ Tamil ௧௯௭௧ Thai ๑๙๗๑ Tibetan ༡༩༧༡ Khmer ១៩៧១ Lao ໑໙໗໑ Burmese ၁၉၇၁

Digit at this position in famous constants

π — Pi (π): Digit 1,971 = 9
e — Euler's number (e): Digit 1,971 = 4
φ — Golden ratio (φ): Digit 1,971 = 4
√2 — Pythagoras's (√2): Digit 1,971 = 2
ln 2 — Natural log of 2: Digit 1,971 = 0
γ — Euler-Mascheroni (γ): Digit 1,971 = 0

Also seen as

Hex color

#0007B3

RGB(0, 7, 179)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.179.

Address: 0.0.7.179
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.179

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

Position in π

The digit sequence 1971 first appears in π at position 37 of the decimal expansion (the 37ordinal-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 1971 on Pi Search ↗