Live analysis

3,804

3,804 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.).

3,804 (three thousand eight hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 317. Its proper divisors sum to 5,100, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCIV and in binary, 111011011100.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,792 3,793 3,794 3,795 3,796 3,797 3,798 3,799 3,800 3,801 3,802 3,803 3,804 3,805 3,806 3,807 3,808 3,809 3,810 3,811 3,812 3,813 3,814 3,815 3,816

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 4,083
Recamán's sequence: a(6,320) = 3,804
Square (n²): 14,470,416
Cube (n³): 55,045,462,464
Divisor count: 12
σ(n) — sum of divisors: 8,904
φ(n) — Euler's totient: 1,264
Sum of prime factors: 324

Primality

Prime factorization: 2 ² × 3 × 317

Nearest primes: 3,803 (−1) · 3,821 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 317 · 634 · 951 · 1268 · 1902 (half) · 3804

Aliquot sum (sum of proper divisors): 5,100

Factor pairs (a × b = 3,804)

1 × 3804

2 × 1902

3 × 1268

4 × 951

6 × 634

12 × 317

First multiples

3,804 · 7,608 (double) · 11,412 · 15,216 · 19,020 · 22,824 · 26,628 · 30,432 · 34,236 · 38,040

Sums & aliquot sequence

As consecutive integers: 1,267 + 1,268 + 1,269 472 + 473 + … + 479 147 + 148 + … + 170

Aliquot sequence: 3,804 → 5,100 → 10,524 → 14,060 → 17,860 → 22,460 → 24,748 → 20,612 → 15,466 → 11,894 → 6,946 → 3,998 → 2,002 → 2,030 → 2,290 → 1,850 → 1,684 — unresolved within range

Continued fraction of √n

√3,804 = [61; (1, 2, 10, 1, 7, 3, 4, 1, 4, 1, 1, 4, 2, 1, 1, 2, 2, 30, 2, 2, 1, 1, 2, 4, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred four
Ordinal: 3804th
Roman numeral: MMMDCCCIV
Binary: 111011011100
Octal: 7334
Hexadecimal: 0xEDC
Base64: Dtw=
One's complement: 61,731 (16-bit)
Scientific notation: 3.804 × 10³
As a duration: 3,804 s = 1 hour, 3 minutes, 24 seconds

In other bases

ternary (3) 12012220

quaternary (4) 323130

quinary (5) 110204

senary (6) 25340

septenary (7) 14043

nonary (9) 5186

undecimal (11) 2949

duodecimal (12) 2250

tridecimal (13) 1968

tetradecimal (14) 155a

pentadecimal (15) 11d9

As an angle

3,804° = 10 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γωδʹ
Mayan (base 20): 𝋩·𝋪·𝋤
Chinese: 三千八百零四
Chinese (financial): 參仟捌佰零肆

In other modern scripts

Eastern Arabic ٣٨٠٤ Devanagari ३८०४ Bengali ৩৮০৪ Tamil ௩௮௦௪ Thai ๓๘๐๔ Tibetan ༣༨༠༤ Khmer ៣៨០៤ Lao ໓໘໐໔ Burmese ၃၈၀၄

Digit at this position in famous constants

π — Pi (π): Digit 3,804 = 0
e — Euler's number (e): Digit 3,804 = 7
φ — Golden ratio (φ): Digit 3,804 = 9
√2 — Pythagoras's (√2): Digit 3,804 = 3
ln 2 — Natural log of 2: Digit 3,804 = 7
γ — Euler-Mascheroni (γ): Digit 3,804 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3804, here are decompositions:

7 + 3797 = 3804
11 + 3793 = 3804
37 + 3767 = 3804
43 + 3761 = 3804
71 + 3733 = 3804
103 + 3701 = 3804
107 + 3697 = 3804
113 + 3691 = 3804

Showing the first eight; more decompositions exist.

Unicode codepoint

ໜ

Lao Ho No

U+0EDC

Other letter (Lo)

UTF-8 encoding: E0 BB 9C (3 bytes).

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

Hex color

#000EDC

RGB(0, 14, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.220.

Address: 0.0.14.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.220

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

Musical pitch

Heard as a frequency, 3,804 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +34¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -28¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +36¢)

Position in π

The digit sequence 3804 first appears in π at position 24,685 of the decimal expansion (the 24,685ordinal-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 3804 on Pi Search ↗