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Number

996

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

Abundant Number Arithmetic Number Evil Number Flippable Recamán's Sequence Semiperfect Number Year

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 · English fallback 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 · English fallback 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

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)
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

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
Ϥ
Coptic Capital Letter Fei
U+03E4
Uppercase letter (Lu)

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

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.