Number

1,976

1,976 is a composite number, even, a calendar year.

1,976 (one thousand nine hundred seventy-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 19. Its proper divisors sum to 2,224, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCMLXXVI and in binary, 11110111000.

Abundant Number Happy Number Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,964 1,965 1,966 1,967 1,968 1,969 1,970 1,971 1,972 1,973 1,974 1,975 1,976 1,977 1,978 1,979 1,980 1,981 1,982 1,983 1,984 1,985 1,986 1,987 1,988

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Notable events — 1976 AD

Apr 1 Steve Jobs and Steve Wozniak found Apple Computer.
Jun 16 The Soweto uprising erupts against apartheid in South Africa.
Jul 4 The United States celebrates its bicentennial.
Jul 17 The Summer Olympics open in Montreal.
Jul 28 The Tangshan earthquake kills over 240,000 in northern China.
Sep 9 Mao Zedong dies; the Cultural Revolution era ends.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1976
Ended on: Friday
December 31, 1976
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 18
Sunday, April 18, 1976
Decade: 1970s
1970–1979
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 50
50 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics: Yes
Winter Olympics: Yes
Held in the same year as the Summer Games until 1992.

In other calendars

Hebrew: 5736 / 5737 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1395 / 1397 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2519 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1354 / 1355 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1968 / 1969 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1898 / 1897 Saka
Indian national calendar; year starts in March.
Japanese: Shōwa 51
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 23
Digit product: 378
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 6,791
Recamán's sequence: a(3,799) = 1,976
Square (n²): 3,904,576
Cube (n³): 7,715,442,176
Divisor count: 16
σ(n) — sum of divisors: 4,200
φ(n) — Euler's totient: 864
Sum of prime factors: 38

Primality

Prime factorization: 2 ³ × 13 × 19

Nearest primes: 1,973 (−3) · 1,979 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 13 · 19 · 26 · 38 · 52 · 76 · 104 · 152 · 247 · 494 · 988 (half) · 1976

Aliquot sum (sum of proper divisors): 2,224

Factor pairs (a × b = 1,976)

1 × 1976

2 × 988

4 × 494

8 × 247

13 × 152

19 × 104

26 × 76

38 × 52

First multiples

1,976 · 3,952 (double) · 5,928 · 7,904 · 9,880 · 11,856 · 13,832 · 15,808 · 17,784 · 19,760

Sums & aliquot sequence

As consecutive integers: 146 + 147 + … + 158 116 + 117 + … + 131 95 + 96 + … + 113

Aliquot sequence: 1,976 → 2,224 → 2,116 → 1,755 → 1,605 → 987 → 549 → 257 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,976 = [44; (2, 4, 1, 2, 1, 2, 1, 4, 2, 88)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand nine hundred seventy-six
Ordinal: 1976th
Roman numeral: MCMLXXVI
Binary: 11110111000
Octal: 3670
Hexadecimal: 0x7B8
Base64: B7g=
One's complement: 63,559 (16-bit)
Scientific notation: 1.976 × 10³
As a duration: 1,976 s = 32 minutes, 56 seconds

In other bases

ternary (3) 2201012

quaternary (4) 132320

quinary (5) 30401

senary (6) 13052

septenary (7) 5522

nonary (9) 2635

undecimal (11) 1537

duodecimal (12) 1188

tridecimal (13) b90

tetradecimal (14) a12

pentadecimal (15) 8bb

As an angle

1,976° = 5 × 360° + 176°

176° ≈ 3.072 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αϡοϛʹ
Mayan (base 20): 𝋤·𝋲·𝋰
Chinese: 一千九百七十六
Chinese (financial): 壹仟玖佰柒拾陸

In other modern scripts

Eastern Arabic ١٩٧٦ Devanagari १९७६ Bengali ১৯৭৬ Tamil ௧௯௭௬ Thai ๑๙๗๖ Tibetan ༡༩༧༦ Khmer ១៩៧៦ Lao ໑໙໗໖ Burmese ၁၉၇၆

Digit at this position in famous constants

π — Pi (π): Digit 1,976 = 8
e — Euler's number (e): Digit 1,976 = 8
φ — Golden ratio (φ): Digit 1,976 = 7
√2 — Pythagoras's (√2): Digit 1,976 = 5
ln 2 — Natural log of 2: Digit 1,976 = 1
γ — Euler-Mascheroni (γ): Digit 1,976 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1976, here are decompositions:

3 + 1973 = 1976
43 + 1933 = 1976
97 + 1879 = 1976
103 + 1873 = 1976
109 + 1867 = 1976
193 + 1783 = 1976
199 + 1777 = 1976
223 + 1753 = 1976

Showing the first eight; more decompositions exist.

Hex color

#0007B8

RGB(0, 7, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.184.

Address: 0.0.7.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.184

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

Musical pitch

Heard as a frequency, 1,976 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, exact)
Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +2¢)

Position in π

The digit sequence 1976 first appears in π at position 3,839 of the decimal expansion (the 3,839ordinal-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 1976 on Pi Search ↗