Live analysis

3,888

3,888 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.).

3,888 (three thousand eight hundred eighty-eight) is an even 4-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3⁵. Its proper divisors sum to 7,396, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCLXXXVIII and in binary, 111100110000.

Abundant Number Achilles Number Evil Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 3,893 3,894 3,895 3,896 3,897 3,898 3,899 3,900

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 27
Digit product: 1,536
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 8,883
Recamán's sequence: a(6,152) = 3,888
Square (n²): 15,116,544
Cube (n³): 58,773,123,072
Divisor count: 30
σ(n) — sum of divisors: 11,284
φ(n) — Euler's totient: 1,296
Sum of prime factors: 23

Primality

Prime factorization: 2 ⁴ × 3 ⁵

Nearest primes: 3,881 (−7) · 3,889 (+1)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 81 · 108 · 144 · 162 · 216 · 243 · 324 · 432 · 486 · 648 · 972 · 1296 · 1944 (half) · 3888

Aliquot sum (sum of proper divisors): 7,396

Factor pairs (a × b = 3,888)

1 × 3888

2 × 1944

3 × 1296

4 × 972

6 × 648

8 × 486

9 × 432

12 × 324

16 × 243

18 × 216

24 × 162

27 × 144

36 × 108

48 × 81

54 × 72

First multiples

3,888 · 7,776 (double) · 11,664 · 15,552 · 19,440 · 23,328 · 27,216 · 31,104 · 34,992 · 38,880

Sums & aliquot sequence

As consecutive integers: 1,295 + 1,296 + 1,297 428 + 429 + … + 436 131 + 132 + … + 157 106 + 107 + … + 137

Aliquot sequence: 3,888 → 7,396 → 5,855 → 1,177 → 119 → 25 → 6 → 6 — reaches a perfect number

Continued fraction of √n

√3,888 = [62; (2, 1, 4, 1, 3, 13, 1, 1, 2, 7, 2, 1, 1, 13, 3, 1, 4, 1, 2, 124)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred eighty-eight
Ordinal: 3888th
Roman numeral: MMMDCCCLXXXVIII
Binary: 111100110000
Octal: 7460
Hexadecimal: 0xF30
Base64: DzA=
One's complement: 61,647 (16-bit)
Scientific notation: 3.888 × 10³
As a duration: 3,888 s = 1 hour, 4 minutes, 48 seconds

In other bases

ternary (3) 12100000

quaternary (4) 330300

quinary (5) 111023

senary (6) 30000

septenary (7) 14223

nonary (9) 5300

undecimal (11) 2a15

duodecimal (12) 2300

tridecimal (13) 1a01

tetradecimal (14) 15ba

pentadecimal (15) 1243

As an angle

3,888° = 10 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γωπηʹ
Mayan (base 20): 𝋩·𝋮·𝋨
Chinese: 三千八百八十八
Chinese (financial): 參仟捌佰捌拾捌

In other modern scripts

Eastern Arabic ٣٨٨٨ Devanagari ३८८८ Bengali ৩৮৮৮ Tamil ௩௮௮௮ Thai ๓๘๘๘ Tibetan ༣༨༨༨ Khmer ៣៨៨៨ Lao ໓໘໘໘ Burmese ၃၈၈၈

Digit at this position in famous constants

π — Pi (π): Digit 3,888 = 8
e — Euler's number (e): Digit 3,888 = 1
φ — Golden ratio (φ): Digit 3,888 = 1
√2 — Pythagoras's (√2): Digit 3,888 = 4
ln 2 — Natural log of 2: Digit 3,888 = 1
γ — Euler-Mascheroni (γ): Digit 3,888 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3888, here are decompositions:

7 + 3881 = 3888
11 + 3877 = 3888
37 + 3851 = 3888
41 + 3847 = 3888
67 + 3821 = 3888
109 + 3779 = 3888
127 + 3761 = 3888
149 + 3739 = 3888

Showing the first eight; more decompositions exist.

Unicode codepoint

༰

Tibetan Digit Half Seven

U+0F30

Other number (No)

UTF-8 encoding: E0 BC B0 (3 bytes).

Lookup U+0F30 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F30

RGB(0, 15, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.48.

Address: 0.0.15.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.48

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

Musical pitch

Heard as a frequency, 3,888 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, -28¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, +10¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, -27¢)

Position in π

The digit sequence 3888 first appears in π at position 22,191 of the decimal expansion (the 22,191ordinal-suffix:st 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 3888 on Pi Search ↗