Number

978

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

978 (nine hundred seventy-eight) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 163. Its proper divisors sum to 990, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMLXXVIII and in binary, 1111010010.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990

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Historical context — 978 AD

Calendar year

Year 978 (CMLXXVIII) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 978 BC

Decade

The 970s BC is a decade that lasted from 979 BC to 970 BC.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 978
Ended on: Thursday
December 31, 978
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 970s
970–979
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,048
1048 years before 2026.

In other calendars

Hebrew: 4738 / 4739 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 367 / 368 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1521 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 356 / 357 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 970 / 971 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 900 / 899 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 24
Digit product: 504
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 879
Recamán's sequence: a(4,463) = 978
Square (n²): 956,484
Cube (n³): 935,441,352
Divisor count: 8
σ(n) — sum of divisors: 1,968
φ(n) — Euler's totient: 324
Sum of prime factors: 168

Primality

Prime factorization: 2 × 3 × 163

Nearest primes: 977 (−1) · 983 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 163 · 326 · 489 (half) · 978

Aliquot sum (sum of proper divisors): 990

Factor pairs (a × b = 978)

1 × 978

2 × 489

3 × 326

6 × 163

First multiples

978 · 1,956 (double) · 2,934 · 3,912 · 4,890 · 5,868 · 6,846 · 7,824 · 8,802 · 9,780

Sums & aliquot sequence

As consecutive integers: 325 + 326 + 327 243 + 244 + 245 + 246 76 + 77 + … + 87

Aliquot sequence: 978 → 990 → 1,818 → 2,160 → 5,280 → 12,864 → 21,680 → 28,912 → 31,848 → 47,832 → 71,808 → 148,512 → 359,520 → 946,848 → 1,895,712 → 4,539,360 → 12,180,336 — unresolved within range

Continued fraction of √n

√978 = [31; (3, 1, 1, 1, 30, 1, 1, 1, 3, 62)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: nine hundred seventy-eight
Ordinal: 978th
Roman numeral: CMLXXVIII
Binary: 1111010010
Octal: 1722
Hexadecimal: 0x3D2
Base64: A9I=
One's complement: 64,557 (16-bit)
Scientific notation: 9.78 × 10²
As a duration: 978 s = 16 minutes, 18 seconds

In other bases

ternary (3) 1100020

quaternary (4) 33102

quinary (5) 12403

senary (6) 4310

septenary (7) 2565

nonary (9) 1306

undecimal (11) 80a

duodecimal (12) 696

tridecimal (13) 5a3

tetradecimal (14) 4dc

pentadecimal (15) 453

Palindromic in base 12

As an angle

978° = 2 × 360° + 258°

258° ≈ 4.503 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡοηʹ
Mayan (base 20): 𝋢·𝋨·𝋲
Chinese: 九百七十八
Chinese (financial): 玖佰柒拾捌

In other modern scripts

Eastern Arabic ٩٧٨ Devanagari ९७८ Bengali ৯৭৮ Tamil ௯௭௮ Thai ๙๗๘ Tibetan ༩༧༨ Khmer ៩៧៨ Lao ໙໗໘ Burmese ၉၇၈

Digit at this position in famous constants

π — Pi (π): Digit 978 = 2
e — Euler's number (e): Digit 978 = 6
φ — Golden ratio (φ): Digit 978 = 6
√2 — Pythagoras's (√2): Digit 978 = 7
ln 2 — Natural log of 2: Digit 978 = 6
γ — Euler-Mascheroni (γ): Digit 978 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 978, here are decompositions:

7 + 971 = 978
11 + 967 = 978
31 + 947 = 978
37 + 941 = 978
41 + 937 = 978
59 + 919 = 978
67 + 911 = 978
71 + 907 = 978

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Upsilon With Hook Symbol

U+03D2

Uppercase letter (Lu)

UTF-8 encoding: CF 92 (2 bytes).

Lookup U+03D2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003D2

RGB(0, 3, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.210.

Address: 0.0.3.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.210

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

NANP area code 978

The number 978 is an active NANP area code (North American Numbering Plan).

Primary area: Lowell / Lawrence
Region: Massachusetts
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 978 ↗

Musical pitch

Heard as a frequency, 978 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -16¢)