Live analysis

3,880

3,880 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.).

3,880 (three thousand eight hundred eighty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 97. Its proper divisors sum to 4,940, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCLXXX and in binary, 111100101000.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

3,868 3,869 3,870 3,871 3,872 3,873 3,874 3,875 3,876 3,877 3,878 3,879 3,880 3,881 3,882 3,883 3,884 3,885 3,886 3,887 3,888 3,889 3,890 3,891 3,892

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 883
Recamán's sequence: a(6,168) = 3,880
Square (n²): 15,054,400
Cube (n³): 58,411,072,000
Divisor count: 16
σ(n) — sum of divisors: 8,820
φ(n) — Euler's totient: 1,536
Sum of prime factors: 108

Primality

Prime factorization: 2 ³ × 5 × 97

Nearest primes: 3,877 (−3) · 3,881 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 97 · 194 · 388 · 485 · 776 · 970 · 1940 (half) · 3880

Aliquot sum (sum of proper divisors): 4,940

Factor pairs (a × b = 3,880)

1 × 3880

2 × 1940

4 × 970

5 × 776

8 × 485

10 × 388

20 × 194

40 × 97

First multiples

3,880 · 7,760 (double) · 11,640 · 15,520 · 19,400 · 23,280 · 27,160 · 31,040 · 34,920 · 38,800

Sums & aliquot sequence

As a sum of two squares: 6² + 62² = 42² + 46²

As consecutive integers: 774 + 775 + 776 + 777 + 778 235 + 236 + … + 250 9 + 10 + … + 88

Aliquot sequence: 3,880 → 4,940 → 6,820 → 9,308 → 8,332 → 6,256 → 7,136 → 6,976 → 6,994 → 4,346 → 2,458 → 1,232 → 1,744 → 1,666 → 1,412 → 1,066 → 698 — unresolved within range

Continued fraction of √n

√3,880 = [62; (3, 2, 4, 1, 3, 4, 1, 13, 31, 13, 1, 4, 3, 1, 4, 2, 3, 124)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred eighty
Ordinal: 3880th
Roman numeral: MMMDCCCLXXX
Binary: 111100101000
Octal: 7450
Hexadecimal: 0xF28
Base64: Dyg=
One's complement: 61,655 (16-bit)
Scientific notation: 3.88 × 10³
As a duration: 3,880 s = 1 hour, 4 minutes, 40 seconds

In other bases

ternary (3) 12022201

quaternary (4) 330220

quinary (5) 111010

senary (6) 25544

septenary (7) 14212

nonary (9) 5281

undecimal (11) 2a08

duodecimal (12) 22b4

tridecimal (13) 19c6

tetradecimal (14) 15b2

pentadecimal (15) 123a

As an angle

3,880° = 10 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γωπʹ
Mayan (base 20): 𝋩·𝋮·𝋠
Chinese: 三千八百八十
Chinese (financial): 參仟捌佰捌拾

In other modern scripts

Eastern Arabic ٣٨٨٠ Devanagari ३८८० Bengali ৩৮৮০ Tamil ௩௮௮௦ Thai ๓๘๘๐ Tibetan ༣༨༨༠ Khmer ៣៨៨០ Lao ໓໘໘໐ Burmese ၃၈၈၀

Digit at this position in famous constants

π — Pi (π): Digit 3,880 = 3
e — Euler's number (e): Digit 3,880 = 8
φ — Golden ratio (φ): Digit 3,880 = 7
√2 — Pythagoras's (√2): Digit 3,880 = 1
ln 2 — Natural log of 2: Digit 3,880 = 6
γ — Euler-Mascheroni (γ): Digit 3,880 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3880, here are decompositions:

3 + 3877 = 3880
17 + 3863 = 3880
29 + 3851 = 3880
47 + 3833 = 3880
59 + 3821 = 3880
83 + 3797 = 3880
101 + 3779 = 3880
113 + 3767 = 3880

Showing the first eight; more decompositions exist.

Unicode codepoint

༨

Tibetan Digit Eight

U+0F28

Decimal digit (Nd)

UTF-8 encoding: E0 BC A8 (3 bytes).

Lookup U+0F28 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F28

RGB(0, 15, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.40.

Address: 0.0.15.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.40

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

Musical pitch

Heard as a frequency, 3,880 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, -30¢)

Position in π

The digit sequence 3880 first appears in π at position 13,666 of the decimal expansion (the 13,666ordinal-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 3880 on Pi Search ↗