Number

996

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

996 (nine hundred ninety-six) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83. Its proper divisors sum to 1,356, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXCVI and in binary, 1111100100.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1,000 1,001 1,002 1,003 1,004 1,005 1,006 1,007 1,008

less more

Historical context — 996 AD

Calendar year

Year 996 (CMXCVI) 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 — 996 BC

Decade

The 990s BC is a decade that lasted from 999 BC to 990 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, 996
Ended on: Saturday
December 31, 996
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 990s
990–999
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,030
1030 years before 2026.

In other calendars

Hebrew: 4756 / 4757 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 385 / 386 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1539 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 374 / 375 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 988 / 989 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 918 / 917 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 24
Digit product: 486
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 699
Flips to (rotate 180°): 966
Recamán's sequence: a(4,427) = 996
Square (n²): 992,016
Cube (n³): 988,047,936
Divisor count: 12
σ(n) — sum of divisors: 2,352
φ(n) — Euler's totient: 328
Sum of prime factors: 90

Primality

Prime factorization: 2 ² × 3 × 83

Nearest primes: 991 (−5) · 997 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83 · 166 · 249 · 332 · 498 (half) · 996

Aliquot sum (sum of proper divisors): 1,356

Factor pairs (a × b = 996)

1 × 996

2 × 498

3 × 332

4 × 249

6 × 166

12 × 83

First multiples

996 · 1,992 (double) · 2,988 · 3,984 · 4,980 · 5,976 · 6,972 · 7,968 · 8,964 · 9,960

Sums & aliquot sequence

As consecutive integers: 331 + 332 + 333 121 + 122 + … + 128 30 + 31 + … + 53

Aliquot sequence: 996 → 1,356 → 1,836 → 3,204 → 4,986 → 5,856 → 9,768 → 17,592 → 26,448 → 47,952 → 94,586 → 47,296 → 46,684 → 42,524 → 31,900 → 46,220 → 50,884 — unresolved within range

Continued fraction of √n

√996 = [31; (1, 1, 3, 1, 2, 2, 1, 1, 1, 4, 1, 1, 1, 2, 2, 1, 3, 1, 1, 62)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-six
Ordinal: 996th
Roman numeral: CMXCVI
Binary: 1111100100
Octal: 1744
Hexadecimal: 0x3E4
Base64: A+Q=
One's complement: 64,539 (16-bit)
Scientific notation: 9.96 × 10²
As a duration: 996 s = 16 minutes, 36 seconds

In other bases

ternary (3) 1100220

quaternary (4) 33210

quinary (5) 12441

senary (6) 4340

septenary (7) 2622

nonary (9) 1326

undecimal (11) 826

duodecimal (12) 6b0

tridecimal (13) 5b8

tetradecimal (14) 512

pentadecimal (15) 466

As an angle

996° = 2 × 360° + 276°

276° ≈ 4.817 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡϟϛʹ
Mayan (base 20): 𝋢·𝋩·𝋰
Chinese: 九百九十六
Chinese (financial): 玖佰玖拾陸

In other modern scripts

Eastern Arabic ٩٩٦ Devanagari ९९६ Bengali ৯৯৬ Tamil ௯௯௬ Thai ๙๙๖ Tibetan ༩༩༦ Khmer ៩៩៦ Lao ໙໙໖ Burmese ၉၉၆

Digit at this position in famous constants

π — Pi (π): Digit 996 = 2
e — Euler's number (e): Digit 996 = 3
φ — Golden ratio (φ): Digit 996 = 1
√2 — Pythagoras's (√2): Digit 996 = 4
ln 2 — Natural log of 2: Digit 996 = 5
γ — Euler-Mascheroni (γ): Digit 996 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996, here are decompositions:

5 + 991 = 996
13 + 983 = 996
19 + 977 = 996
29 + 967 = 996
43 + 953 = 996
59 + 937 = 996
67 + 929 = 996
89 + 907 = 996

Showing the first eight; more decompositions exist.

Unicode codepoint

Coptic Capital Letter Fei

U+03E4

Uppercase letter (Lu)

UTF-8 encoding: CF A4 (2 bytes).

Lookup U+03E4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003E4

RGB(0, 3, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.228.

Address: 0.0.3.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.228

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

Musical pitch

Heard as a frequency, 996 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, +14¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -48¢ — about midway to B5)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, +16¢)