number.wiki
Number

966

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

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

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 · English fallback 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 · English fallback 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

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)
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

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
φ
Greek Small Letter Phi
U+03C6
Lowercase letter (Ll)

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

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.