Live analysis

2,804

2,804 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.).

2,804 (two thousand eight hundred four) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 701. Written other ways, in Roman numerals it is MMDCCCIV and in binary, 101011110100.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

2,792 2,793 2,794 2,795 2,796 2,797 2,798 2,799 2,800 2,801 2,802 2,803 2,804 2,805 2,806 2,807 2,808 2,809 2,810 2,811 2,812 2,813 2,814 2,815 2,816

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 4,082
Recamán's sequence: a(2,647) = 2,804
Square (n²): 7,862,416
Cube (n³): 22,046,214,464
Divisor count: 6
σ(n) — sum of divisors: 4,914
φ(n) — Euler's totient: 1,400
Sum of prime factors: 705

Primality

Prime factorization: 2 ² × 701

Nearest primes: 2,803 (−1) · 2,819 (+15)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 701 · 1402 (half) · 2804

Aliquot sum (sum of proper divisors): 2,110

Factor pairs (a × b = 2,804)

1 × 2804

2 × 1402

4 × 701

First multiples

2,804 · 5,608 (double) · 8,412 · 11,216 · 14,020 · 16,824 · 19,628 · 22,432 · 25,236 · 28,040

Sums & aliquot sequence

As a sum of two squares: 10² + 52²

As consecutive integers: 347 + 348 + … + 354

Aliquot sequence: 2,804 → 2,110 → 1,706 → 856 → 764 → 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 — unresolved within range

Continued fraction of √n

√2,804 = [52; (1, 20, 5, 4, 26, 4, 5, 20, 1, 104)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: two thousand eight hundred four
Ordinal: 2804th
Roman numeral: MMDCCCIV
Binary: 101011110100
Octal: 5364
Hexadecimal: 0xAF4
Base64: CvQ=
One's complement: 62,731 (16-bit)
Scientific notation: 2.804 × 10³
As a duration: 2,804 s = 46 minutes, 44 seconds

In other bases

ternary (3) 10211212

quaternary (4) 223310

quinary (5) 42204

senary (6) 20552

septenary (7) 11114

nonary (9) 3755

undecimal (11) 211a

duodecimal (12) 1758

tridecimal (13) 1379

tetradecimal (14) 1044

pentadecimal (15) c6e

As an angle

2,804° = 7 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵βωδʹ
Mayan (base 20): 𝋧·𝋠·𝋤
Chinese: 二千八百零四
Chinese (financial): 貳仟捌佰零肆

In other modern scripts

Eastern Arabic ٢٨٠٤ Devanagari २८०४ Bengali ২৮০৪ Tamil ௨௮௦௪ Thai ๒๘๐๔ Tibetan ༢༨༠༤ Khmer ២៨០៤ Lao ໒໘໐໔ Burmese ၂၈၀၄

Digit at this position in famous constants

π — Pi (π): Digit 2,804 = 7
e — Euler's number (e): Digit 2,804 = 3
φ — Golden ratio (φ): Digit 2,804 = 6
√2 — Pythagoras's (√2): Digit 2,804 = 3
ln 2 — Natural log of 2: Digit 2,804 = 6
γ — Euler-Mascheroni (γ): Digit 2,804 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2804, here are decompositions:

3 + 2801 = 2804
7 + 2797 = 2804
13 + 2791 = 2804
37 + 2767 = 2804
73 + 2731 = 2804
97 + 2707 = 2804
127 + 2677 = 2804
157 + 2647 = 2804

Showing the first eight; more decompositions exist.

Hex color

#000AF4

RGB(0, 10, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.244.

Address: 0.0.10.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.244

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

Musical pitch

Heard as a frequency, 2,804 Hz is closest to:

Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, +8¢)

Position in π

The digit sequence 2804 first appears in π at position 3,262 of the decimal expansion (the 3,262ordinal-suffix:nd 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 2804 on Pi Search ↗