Live analysis

3,204

3,204 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.).

3,204 (three thousand two hundred four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 89. Its proper divisors sum to 4,986, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCIV and in binary, 110010000100.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,192 3,193 3,194 3,195 3,196 3,197 3,198 3,199 3,200 3,201 3,202 3,203 3,204 3,205 3,206 3,207 3,208 3,209 3,210 3,211 3,212 3,213 3,214 3,215 3,216

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 4,023
Recamán's sequence: a(6,940) = 3,204
Square (n²): 10,265,616
Cube (n³): 32,891,033,664
Divisor count: 18
σ(n) — sum of divisors: 8,190
φ(n) — Euler's totient: 1,056
Sum of prime factors: 99

Primality

Prime factorization: 2 ² × 3 ² × 89

Nearest primes: 3,203 (−1) · 3,209 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 89 · 178 · 267 · 356 · 534 · 801 · 1068 · 1602 (half) · 3204

Aliquot sum (sum of proper divisors): 4,986

Factor pairs (a × b = 3,204)

1 × 3204

2 × 1602

3 × 1068

4 × 801

6 × 534

9 × 356

12 × 267

18 × 178

36 × 89

First multiples

3,204 · 6,408 (double) · 9,612 · 12,816 · 16,020 · 19,224 · 22,428 · 25,632 · 28,836 · 32,040

Sums & aliquot sequence

As a sum of two squares: 30² + 48²

As consecutive integers: 1,067 + 1,068 + 1,069 397 + 398 + … + 404 352 + 353 + … + 360 122 + 123 + … + 145

Aliquot sequence: 3,204 → 4,986 → 5,856 → 9,768 → 17,592 → 26,448 → 47,952 → 94,586 → 47,296 → 46,684 → 42,524 → 31,900 → 46,220 → 50,884 → 38,170 → 36,998 → 22,810 — unresolved within range

Continued fraction of √n

√3,204 = [56; (1, 1, 1, 1, 9, 1, 2, 4, 5, 2, 3, 12, 3, 2, 5, 4, 2, 1, 9, 1, 1, 1, 1, 112)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred four
Ordinal: 3204th
Roman numeral: MMMCCIV
Binary: 110010000100
Octal: 6204
Hexadecimal: 0xC84
Base64: DIQ=
One's complement: 62,331 (16-bit)
Scientific notation: 3.204 × 10³
As a duration: 3,204 s = 53 minutes, 24 seconds

In other bases

ternary (3) 11101200

quaternary (4) 302010

quinary (5) 100304

senary (6) 22500

septenary (7) 12225

nonary (9) 4350

undecimal (11) 2453

duodecimal (12) 1a30

tridecimal (13) 15c6

tetradecimal (14) 124c

pentadecimal (15) e39

As an angle

3,204° = 8 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γσδʹ
Mayan (base 20): 𝋨·𝋠·𝋤
Chinese: 三千二百零四
Chinese (financial): 參仟貳佰零肆

In other modern scripts

Eastern Arabic ٣٢٠٤ Devanagari ३२०४ Bengali ৩২০৪ Tamil ௩௨௦௪ Thai ๓๒๐๔ Tibetan ༣༢༠༤ Khmer ៣២០៤ Lao ໓໒໐໔ Burmese ၃၂၀၄

Digit at this position in famous constants

π — Pi (π): Digit 3,204 = 0
e — Euler's number (e): Digit 3,204 = 0
φ — Golden ratio (φ): Digit 3,204 = 4
√2 — Pythagoras's (√2): Digit 3,204 = 6
ln 2 — Natural log of 2: Digit 3,204 = 8
γ — Euler-Mascheroni (γ): Digit 3,204 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3204, here are decompositions:

13 + 3191 = 3204
17 + 3187 = 3204
23 + 3181 = 3204
37 + 3167 = 3204
41 + 3163 = 3204
67 + 3137 = 3204
83 + 3121 = 3204
137 + 3067 = 3204

Showing the first eight; more decompositions exist.

Unicode codepoint

಄

Kannada Sign Siddham

U+0C84

Other punctuation (Po)

UTF-8 encoding: E0 B2 84 (3 bytes).

Lookup U+0C84 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C84

RGB(0, 12, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.132.

Address: 0.0.12.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.132

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

Musical pitch

Heard as a frequency, 3,204 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +38¢)

Position in π

The digit sequence 3204 first appears in π at position 9,246 of the decimal expansion (the 9,246ordinal-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 3204 on Pi Search ↗