Live analysis

3,980

3,980 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,980 (three thousand nine hundred eighty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 199. Its proper divisors sum to 4,420, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCMLXXX and in binary, 111110001100.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,968 3,969 3,970 3,971 3,972 3,973 3,974 3,975 3,976 3,977 3,978 3,979 3,980 3,981 3,982 3,983 3,984 3,985 3,986 3,987 3,988 3,989 3,990 3,991 3,992

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 893
Recamán's sequence: a(14,431) = 3,980
Square (n²): 15,840,400
Cube (n³): 63,044,792,000
Divisor count: 12
σ(n) — sum of divisors: 8,400
φ(n) — Euler's totient: 1,584
Sum of prime factors: 208

Primality

Prime factorization: 2 ² × 5 × 199

Nearest primes: 3,967 (−13) · 3,989 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 199 · 398 · 796 · 995 · 1990 (half) · 3980

Aliquot sum (sum of proper divisors): 4,420

Factor pairs (a × b = 3,980)

1 × 3980

2 × 1990

4 × 995

5 × 796

10 × 398

20 × 199

First multiples

3,980 · 7,960 (double) · 11,940 · 15,920 · 19,900 · 23,880 · 27,860 · 31,840 · 35,820 · 39,800

Sums & aliquot sequence

As consecutive integers: 794 + 795 + 796 + 797 + 798 494 + 495 + … + 501 80 + 81 + … + 119

Aliquot sequence: 3,980 → 4,420 → 6,164 → 5,260 → 5,828 → 4,924 → 3,700 → 4,546 → 2,276 → 1,714 → 860 → 988 → 972 → 1,576 → 1,394 → 874 → 566 — unresolved within range

Continued fraction of √n

√3,980 = [63; (11, 2, 6, 6, 6, 2, 11, 126)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred eighty
Ordinal: 3980th
Roman numeral: MMMCMLXXX
Binary: 111110001100
Octal: 7614
Hexadecimal: 0xF8C
Base64: D4w=
One's complement: 61,555 (16-bit)
Scientific notation: 3.98 × 10³
As a duration: 3,980 s = 1 hour, 6 minutes, 20 seconds

In other bases

ternary (3) 12110102

quaternary (4) 332030

quinary (5) 111410

senary (6) 30232

septenary (7) 14414

nonary (9) 5412

undecimal (11) 2a99

duodecimal (12) 2378

tridecimal (13) 1a72

tetradecimal (14) 1644

pentadecimal (15) 12a5

As an angle

3,980° = 11 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γϡπʹ
Mayan (base 20): 𝋩·𝋳·𝋠
Chinese: 三千九百八十
Chinese (financial): 參仟玖佰捌拾

In other modern scripts

Eastern Arabic ٣٩٨٠ Devanagari ३९८० Bengali ৩৯৮০ Tamil ௩௯௮௦ Thai ๓๙๘๐ Tibetan ༣༩༨༠ Khmer ៣៩៨០ Lao ໓໙໘໐ Burmese ၃၉၈၀

Digit at this position in famous constants

π — Pi (π): Digit 3,980 = 6
e — Euler's number (e): Digit 3,980 = 3
φ — Golden ratio (φ): Digit 3,980 = 7
√2 — Pythagoras's (√2): Digit 3,980 = 6
ln 2 — Natural log of 2: Digit 3,980 = 6
γ — Euler-Mascheroni (γ): Digit 3,980 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3980, here are decompositions:

13 + 3967 = 3980
37 + 3943 = 3980
61 + 3919 = 3980
73 + 3907 = 3980
103 + 3877 = 3980
127 + 3853 = 3980
157 + 3823 = 3980
211 + 3769 = 3980

Showing the first eight; more decompositions exist.

Unicode codepoint

ྌ

Tibetan Sign Inverted Mchu Can

U+0F8C

Other letter (Lo)

UTF-8 encoding: E0 BE 8C (3 bytes).

Lookup U+0F8C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F8C

RGB(0, 15, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.140.

Address: 0.0.15.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.140

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

Musical pitch

Heard as a frequency, 3,980 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +13¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -50¢ — about midway to B7)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +14¢)

Position in π

The digit sequence 3980 first appears in π at position 21,793 of the decimal expansion (the 21,793ordinal-suffix:rd 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 3980 on Pi Search ↗