Number

1,988

1,988 is a composite number, even, a calendar year.

1,988 (one thousand nine hundred eighty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 71. Its proper divisors sum to 2,044, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCMLXXXVIII and in binary, 11111000100.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,976 1,977 1,978 1,979 1,980 1,981 1,982 1,983 1,984 1,985 1,986 1,987 1,988 1,989 1,990 1,991 1,992 1,993 1,994 1,995 1,996 1,997 1,998 1,999 2,000

less more

Notable events — 1988 AD

Jul 3 The USS Vincennes shoots down Iran Air Flight 655, killing all 290 aboard.
Aug 20 A ceasefire ends the eight-year Iran-Iraq War.
Sep 17 The Summer Olympics open in Seoul, South Korea.
Nov 8 George H. W. Bush is elected US president, defeating Michael Dukakis.
Dec 7 A magnitude 6.8 earthquake devastates Spitak, Armenia, killing over 25,000.
Dec 21 Pan Am Flight 103 explodes over Lockerbie, Scotland; 270 die.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1988
Ended on: Saturday
December 31, 1988
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 3
Sunday, April 3, 1988
Decade: 1980s
1980–1989
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 38
38 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics: Yes
Winter Olympics: Yes
Held in the same year as the Summer Games until 1992.

In other calendars

Hebrew: 5748 / 5749 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1408 / 1409 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: 2531 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1366 / 1367 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1980 / 1981 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1910 / 1909 Saka
Indian national calendar; year starts in March.
Japanese: Shōwa 63
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 26
Digit product: 576
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 8,891
Flips to (rotate 180°): 8,861
Recamán's sequence: a(3,775) = 1,988
Square (n²): 3,952,144
Cube (n³): 7,856,862,272
Divisor count: 12
σ(n) — sum of divisors: 4,032
φ(n) — Euler's totient: 840
Sum of prime factors: 82

Primality

Prime factorization: 2 ² × 7 × 71

Nearest primes: 1,987 (−1) · 1,993 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 71 · 142 · 284 · 497 · 994 (half) · 1988

Aliquot sum (sum of proper divisors): 2,044

Factor pairs (a × b = 1,988)

1 × 1988

2 × 994

4 × 497

7 × 284

14 × 142

28 × 71

First multiples

1,988 · 3,976 (double) · 5,964 · 7,952 · 9,940 · 11,928 · 13,916 · 15,904 · 17,892 · 19,880

Sums & aliquot sequence

As consecutive integers: 281 + 282 + … + 287 245 + 246 + … + 252 8 + 9 + … + 63

Aliquot sequence: 1,988 → 2,044 → 2,100 → 4,844 → 4,900 → 7,469 → 1,939 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,988 = [44; (1, 1, 2, 2, 1, 2, 12, 2, 1, 2, 2, 1, 1, 88)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand nine hundred eighty-eight
Ordinal: 1988th
Roman numeral: MCMLXXXVIII
Binary: 11111000100
Octal: 3704
Hexadecimal: 0x7C4
Base64: B8Q=
One's complement: 63,547 (16-bit)
Scientific notation: 1.988 × 10³
As a duration: 1,988 s = 33 minutes, 8 seconds

In other bases

ternary (3) 2201122

quaternary (4) 133010

quinary (5) 30423

senary (6) 13112

septenary (7) 5540

nonary (9) 2648

undecimal (11) 1548

duodecimal (12) 1198

tridecimal (13) b9c

tetradecimal (14) a20

pentadecimal (15) 8c8

Palindromic in base 15

As an angle

1,988° = 5 × 360° + 188°

188° ≈ 3.281 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αϡπηʹ
Mayan (base 20): 𝋤·𝋳·𝋨
Chinese: 一千九百八十八
Chinese (financial): 壹仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٩٨٨ Devanagari १९८८ Bengali ১৯৮৮ Tamil ௧௯௮௮ Thai ๑๙๘๘ Tibetan ༡༩༨༨ Khmer ១៩៨៨ Lao ໑໙໘໘ Burmese ၁၉၈၈

Digit at this position in famous constants

π — Pi (π): Digit 1,988 = 3
e — Euler's number (e): Digit 1,988 = 7
φ — Golden ratio (φ): Digit 1,988 = 1
√2 — Pythagoras's (√2): Digit 1,988 = 7
ln 2 — Natural log of 2: Digit 1,988 = 9
γ — Euler-Mascheroni (γ): Digit 1,988 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1988, here are decompositions:

37 + 1951 = 1988
109 + 1879 = 1988
127 + 1861 = 1988
157 + 1831 = 1988
199 + 1789 = 1988
211 + 1777 = 1988
229 + 1759 = 1988
241 + 1747 = 1988

Showing the first eight; more decompositions exist.

Unicode codepoint

Nko Digit Four

U+07C4

Decimal digit (Nd)

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

Lookup U+07C4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0007C4

RGB(0, 7, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.196.

Address: 0.0.7.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.196

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

Musical pitch

Heard as a frequency, 1,988 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, +49¢ — about midway to C7)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +12¢)

Position in π

The digit sequence 1988 first appears in π at position 1,535 of the decimal expansion (the 1,535ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1988 on Pi Search ↗