Number

968

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

968 (nine hundred sixty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2³ × 11². Its proper divisors sum to 1,027, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMLXVIII and in binary, 1111001000.

Abundant Number Achilles Number Flippable Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

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6 notable facts · grade B

956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980

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Historical context — 968 AD

Calendar year

Year 968 (CMLXVIII) was a leap year starting on Wednesday of the Julian calendar.

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

Historical context — 968 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 968
Ended on: Saturday
December 31, 968
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: 1,058
1058 years before 2026.

In other calendars

Hebrew: 4728 / 4729 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 357 / 358 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1511 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 346 / 347 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 960 / 961 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 890 / 889 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 23
Digit product: 432
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 869
Flips to (rotate 180°): 896
Recamán's sequence: a(4,483) = 968
Square (n²): 937,024
Cube (n³): 907,039,232
Divisor count: 12
σ(n) — sum of divisors: 1,995
φ(n) — Euler's totient: 440
Sum of prime factors: 28

Primality

Prime factorization: 2 ³ × 11 ²

Nearest primes: 967 (−1) · 971 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 121 · 242 · 484 (half) · 968

Aliquot sum (sum of proper divisors): 1,027

Factor pairs (a × b = 968)

1 × 968

2 × 484

4 × 242

8 × 121

11 × 88

22 × 44

First multiples

968 · 1,936 (double) · 2,904 · 3,872 · 4,840 · 5,808 · 6,776 · 7,744 · 8,712 · 9,680

Sums & aliquot sequence

As a sum of two squares: 22² + 22²

As consecutive integers: 83 + 84 + … + 93 53 + 54 + … + 68

Aliquot sequence: 968 → 1,027 → 93 → 35 → 13 → 1 → 0 — terminates at zero

Continued fraction of √n

√968 = [31; (8, 1, 6, 1, 8, 62)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty-eight
Ordinal: 968th
Roman numeral: CMLXVIII
Binary: 1111001000
Octal: 1710
Hexadecimal: 0x3C8
Base64: A8g=
One's complement: 64,567 (16-bit)
Scientific notation: 9.68 × 10²
As a duration: 968 s = 16 minutes, 8 seconds

In other bases

ternary (3) 1022212

quaternary (4) 33020

quinary (5) 12333

senary (6) 4252

septenary (7) 2552

nonary (9) 1285

undecimal (11) 800

duodecimal (12) 688

tridecimal (13) 596

tetradecimal (14) 4d2

pentadecimal (15) 448

Palindromic in base 7

As an angle

968° = 2 × 360° + 248°

248° ≈ 4.328 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡξηʹ
Mayan (base 20): 𝋢·𝋨·𝋨
Chinese: 九百六十八
Chinese (financial): 玖佰陸拾捌

In other modern scripts

Eastern Arabic ٩٦٨ Devanagari ९६८ Bengali ৯৬৮ Tamil ௯௬௮ Thai ๙๖๘ Tibetan ༩༦༨ Khmer ៩៦៨ Lao ໙໖໘ Burmese ၉၆၈

Digit at this position in famous constants

π — Pi (π): Digit 968 = 8
e — Euler's number (e): Digit 968 = 6
φ — Golden ratio (φ): Digit 968 = 2
√2 — Pythagoras's (√2): Digit 968 = 6
ln 2 — Natural log of 2: Digit 968 = 2
γ — Euler-Mascheroni (γ): Digit 968 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 968, here are decompositions:

31 + 937 = 968
61 + 907 = 968
109 + 859 = 968
139 + 829 = 968
157 + 811 = 968
181 + 787 = 968
199 + 769 = 968
211 + 757 = 968

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Psi

U+03C8

Lowercase letter (Ll)

UTF-8 encoding: CF 88 (2 bytes).

Lookup U+03C8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C8

RGB(0, 3, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.200.

Address: 0.0.3.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.200

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

Musical pitch

Heard as a frequency, 968 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -35¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -34¢)

Food additive (E-number)

On an ingredients label, E968 is Erythritol, a glazing agent, gas or sweetener.

E-number reference (Wikipedia) ↗