Number

992

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

992 (nine hundred ninety-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 31. Its proper divisors sum to 1,024, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXCII and in binary, 1111100000.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1,000 1,001 1,002 1,003 1,004

less more

Historical context — 992 AD

Calendar year

Year 992 (CMXCII) was a leap year starting on Friday of the Julian calendar.

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

Historical context — 992 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: Sunday
January 1, 992
Ended on: Monday
December 31, 992
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 990s
990–999
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,034
1034 years before 2026.

In other calendars

Hebrew: 4752 / 4753 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 381 / 382 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1535 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 370 / 371 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 984 / 985 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 914 / 913 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 20
Digit product: 162
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 299
Recamán's sequence: a(4,435) = 992
Square (n²): 984,064
Cube (n³): 976,191,488
Divisor count: 12
σ(n) — sum of divisors: 2,016
φ(n) — Euler's totient: 480
Sum of prime factors: 41

Primality

Prime factorization: 2 ⁵ × 31

Nearest primes: 991 (−1) · 997 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 124 · 248 · 496 (half) · 992

Aliquot sum (sum of proper divisors): 1,024

Factor pairs (a × b = 992)

1 × 992

2 × 496

4 × 248

8 × 124

16 × 62

31 × 32

First multiples

992 · 1,984 (double) · 2,976 · 3,968 · 4,960 · 5,952 · 6,944 · 7,936 · 8,928 · 9,920

Sums & aliquot sequence

As consecutive integers: 17 + 18 + … + 47

Aliquot sequence: 992 → 1,024 → 1,023 → 513 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√992 = [31; (2, 62)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-two
Ordinal: 992nd
Roman numeral: CMXCII
Binary: 1111100000
Octal: 1740
Hexadecimal: 0x3E0
Base64: A+A=
One's complement: 64,543 (16-bit)
Scientific notation: 9.92 × 10²
As a duration: 992 s = 16 minutes, 32 seconds

In other bases

ternary (3) 1100202

quaternary (4) 33200

quinary (5) 12432

senary (6) 4332

septenary (7) 2615

nonary (9) 1322

undecimal (11) 822

duodecimal (12) 6a8

tridecimal (13) 5b4

tetradecimal (14) 50c

pentadecimal (15) 462

As an angle

992° = 2 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ϡϟβʹ
Mayan (base 20): 𝋢·𝋩·𝋬
Chinese: 九百九十二
Chinese (financial): 玖佰玖拾貳

In other modern scripts

Eastern Arabic ٩٩٢ Devanagari ९९२ Bengali ৯৯২ Tamil ௯௯௨ Thai ๙๙๒ Tibetan ༩༩༢ Khmer ៩៩២ Lao ໙໙໒ Burmese ၉၉၂

Digit at this position in famous constants

π — Pi (π): Digit 992 = 2
e — Euler's number (e): Digit 992 = 9
φ — Golden ratio (φ): Digit 992 = 3
√2 — Pythagoras's (√2): Digit 992 = 9
ln 2 — Natural log of 2: Digit 992 = 2
γ — Euler-Mascheroni (γ): Digit 992 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 992, here are decompositions:

73 + 919 = 992
109 + 883 = 992
139 + 853 = 992
163 + 829 = 992
181 + 811 = 992
223 + 769 = 992
241 + 751 = 992
283 + 709 = 992

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Letter Sampi

U+03E0

Uppercase letter (Lu)

UTF-8 encoding: CF A0 (2 bytes).

Lookup U+03E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003E0

RGB(0, 3, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.224.

Address: 0.0.3.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.224

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

Musical pitch

Heard as a frequency, 992 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, +7¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +45¢ — about midway to C6)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, +9¢)