Number

964

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

Deficient Number Descending Digits Happy Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 964 AD

Calendar year

Year 964 (CMLXIV) was a leap year starting on Friday of the Julian calendar.

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Historical context — 964 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 BC.

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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: Sunday
January 1, 964
Ended on: Monday
December 31, 964
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,062
1062 years before 2026.

In other calendars

Hebrew: 4724 / 4725 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 352 / 353 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1507 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 342 / 343 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 956 / 957 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 886 / 885 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 216
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 469
Recamán's sequence: a(4,491) = 964
Square (n²): 929,296
Cube (n³): 895,841,344
Divisor count: 6
σ(n) — sum of divisors: 1,694
φ(n) — Euler's totient: 480
Sum of prime factors: 245

Primality

Prime factorization: 2 ² × 241

Nearest primes: 953 (−11) · 967 (+3)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 241 · 482 (half) · 964

Aliquot sum (sum of proper divisors): 730

Factor pairs (a × b = 964)

1 × 964

2 × 482

4 × 241

First multiples

964 · 1,928 (double) · 2,892 · 3,856 · 4,820 · 5,784 · 6,748 · 7,712 · 8,676 · 9,640

Sums & aliquot sequence

As a sum of two squares: 8² + 30²

As consecutive integers: 117 + 118 + … + 124

Aliquot sequence: 964 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: nine hundred sixty-four
Ordinal: 964th
Roman numeral: CMLXIV
Binary: 1111000100
Octal: 1704
Hexadecimal: 0x3C4
Base64: A8Q=
One's complement: 64,571 (16-bit)

In other bases

ternary (3) 1022201

quaternary (4) 33010

quinary (5) 12324

senary (6) 4244

septenary (7) 2545

nonary (9) 1281

undecimal (11) 7a7

duodecimal (12) 684

tridecimal (13) 592

tetradecimal (14) 4cc

pentadecimal (15) 444

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ϡξδʹ
Mayan (base 20): 𝋢·𝋨·𝋤
Chinese: 九百六十四
Chinese (financial): 玖佰陸拾肆

In other modern scripts

Eastern Arabic ٩٦٤ Devanagari ९६४ Bengali ৯৬৪ Tamil ௯௬௪ Thai ๙๖๔ Tibetan ༩༦༤ Khmer ៩៦៤ Lao ໙໖໔ Burmese ၉၆၄

Digit at this position in famous constants

π — Pi (π): Digit 964 = 1
e — Euler's number (e): Digit 964 = 1
φ — Golden ratio (φ): Digit 964 = 8
√2 — Pythagoras's (√2): Digit 964 = 8
ln 2 — Natural log of 2: Digit 964 = 6
γ — Euler-Mascheroni (γ): Digit 964 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 964, here are decompositions:

11 + 953 = 964
17 + 947 = 964
23 + 941 = 964
53 + 911 = 964
83 + 881 = 964
101 + 863 = 964
107 + 857 = 964
137 + 827 = 964

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Tau

U+03C4

Lowercase letter (Ll)

UTF-8 encoding: CF 84 (2 bytes).

Lookup U+03C4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C4

RGB(0, 3, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.196.

Address: 0.0.3.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.196

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