Number

966

966 is a composite number, even, a calendar year.

966 (nine hundred sixty-six) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 23. Its proper divisors sum to 1,338, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMLXVI and in binary, 1111000110.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

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8 notable facts · grade A

954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978

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Historical context — 966 AD

Calendar year

Year 966 (CMLXVI) was a common year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 966 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 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: Wednesday
January 1, 966
Ended on: Wednesday
December 31, 966
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,060
1060 years before 2026.

In other calendars

Hebrew: 4726 / 4727 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 355 / 356 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1509 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 344 / 345 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 958 / 959 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 888 / 887 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 21
Digit product: 324
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 669
Flips to (rotate 180°): 996
Recamán's sequence: a(4,487) = 966
Square (n²): 933,156
Cube (n³): 901,428,696
Divisor count: 16
σ(n) — sum of divisors: 2,304
φ(n) — Euler's totient: 264
Sum of prime factors: 35

Primality

Prime factorization: 2 × 3 × 7 × 23

Nearest primes: 953 (−13) · 967 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 23 · 42 · 46 · 69 · 138 · 161 · 322 · 483 (half) · 966

Aliquot sum (sum of proper divisors): 1,338

Factor pairs (a × b = 966)

1 × 966

2 × 483

3 × 322

6 × 161

7 × 138

14 × 69

21 × 46

23 × 42

First multiples

966 · 1,932 (double) · 2,898 · 3,864 · 4,830 · 5,796 · 6,762 · 7,728 · 8,694 · 9,660

Sums & aliquot sequence

As consecutive integers: 321 + 322 + 323 240 + 241 + 242 + 243 135 + 136 + … + 141 75 + 76 + … + 86

Aliquot sequence: 966 → 1,338 → 1,350 → 2,370 → 3,390 → 4,818 → 5,838 → 7,602 → 9,870 → 17,778 → 17,790 → 24,978 → 27,438 → 30,882 → 30,894 → 34,386 → 40,782 — unresolved within range

Continued fraction of √n

√966 = [31; (12, 2, 2, 2, 12, 62)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty-six
Ordinal: 966th
Roman numeral: CMLXVI
Binary: 1111000110
Octal: 1706
Hexadecimal: 0x3C6
Base64: A8Y=
One's complement: 64,569 (16-bit)
Scientific notation: 9.66 × 10²
As a duration: 966 s = 16 minutes, 6 seconds

In other bases

ternary (3) 1022210

quaternary (4) 33012

quinary (5) 12331

senary (6) 4250

septenary (7) 2550

nonary (9) 1283

undecimal (11) 7a9

duodecimal (12) 686

tridecimal (13) 594

tetradecimal (14) 4d0

pentadecimal (15) 446

Palindromic in base 12

As an angle

966° = 2 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡξϛʹ
Mayan (base 20): 𝋢·𝋨·𝋦
Chinese: 九百六十六
Chinese (financial): 玖佰陸拾陸

In other modern scripts

Eastern Arabic ٩٦٦ Devanagari ९६६ Bengali ৯৬৬ Tamil ௯௬௬ Thai ๙๖๖ Tibetan ༩༦༦ Khmer ៩៦៦ Lao ໙໖໖ Burmese ၉၆၆

Digit at this position in famous constants

π — Pi (π): Digit 966 = 2
e — Euler's number (e): Digit 966 = 9
φ — Golden ratio (φ): Digit 966 = 7
√2 — Pythagoras's (√2): Digit 966 = 7
ln 2 — Natural log of 2: Digit 966 = 2
γ — Euler-Mascheroni (γ): Digit 966 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966, here are decompositions:

13 + 953 = 966
19 + 947 = 966
29 + 937 = 966
37 + 929 = 966
47 + 919 = 966
59 + 907 = 966
79 + 887 = 966
83 + 883 = 966

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Phi

U+03C6

Lowercase letter (Ll)

UTF-8 encoding: CF 86 (2 bytes).

Lookup U+03C6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C6

RGB(0, 3, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.198.

Address: 0.0.3.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.198

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

Musical pitch

Heard as a frequency, 966 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -39¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, -1¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -37¢)