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Number

5,807

5,807 is a prime, odd.

5,807 (five thousand eight hundred seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x16AF.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
7,085
Recamán's sequence
a(3,862) = 5,807
Square (n²)
33,721,249
Cube (n³)
195,819,292,943
Divisor count
2
σ(n) — sum of divisors
5,808
φ(n) — Euler's totient
5,806

Primality

5,807 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5807
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,807)
1 × 5807
First multiples
5,807 · 11,614 (double) · 17,421 · 23,228 · 29,035 · 34,842 · 40,649 · 46,456 · 52,263 · 58,070

Sums & aliquot sequence

As consecutive integers: 2,903 + 2,904

Continued fraction of √n

√5,807 = [76; (4, 1, 10, 11, 1, 1, 1, 2, 2, 4, 1, 5, 21, 1, 1, 1, 1, 75, 1, 1, 1, 1, 21, 5, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
five thousand eight hundred seven
Ordinal
5807th
Binary
1011010101111
Octal
13257
Hexadecimal
0x16AF
Base64
Fq8=
One's complement
59,728 (16-bit)
Scientific notation
5.807 × 10³
As a duration
5,807 s = 1 hour, 36 minutes, 47 seconds
In other bases
ternary (3) 21222002
quaternary (4) 1122233
quinary (5) 141212
senary (6) 42515
septenary (7) 22634
nonary (9) 7862
undecimal (11) 43aa
duodecimal (12) 343b
tridecimal (13) 2849
tetradecimal (14) 218b
pentadecimal (15) 1ac2

As an angle

5,807° = 16 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εωζʹ
Mayan (base 20)
𝋮·𝋪·𝋧
Chinese
五千八百零七
Chinese (financial)
伍仟捌佰零柒
In other modern scripts
Eastern Arabic ٥٨٠٧ Devanagari ५८०७ Bengali ৫৮০৭ Tamil ௫௮௦௭ Thai ๕๘๐๗ Tibetan ༥༨༠༧ Khmer ៥៨០៧ Lao ໕໘໐໗ Burmese ၅၈၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 5,807 = 8
e — Euler's number (e)
Digit 5,807 = 3
φ — Golden ratio (φ)
Digit 5,807 = 9
√2 — Pythagoras's (√2)
Digit 5,807 = 2
ln 2 — Natural log of 2
Digit 5,807 = 4
γ — Euler-Mascheroni (γ)
Digit 5,807 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,801 (gap of 6)
  • Next prime: 5,813 (gap of 6)

Pair status: sexy with 5801, sexy with 5813.

Unicode codepoint
Runic Letter Oe
U+16AF
Other letter (Lo)

UTF-8 encoding: E1 9A AF (3 bytes).

Hex color
#0016AF
RGB(0, 22, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.175.

Address
0.0.22.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.175

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

Calculator-display word

Type 5,807 on a seven-segment calculator, flip it 180°, and the display reads:

LOBS

A staple of calculator humor since pocket calculators put digits in front of bored students.

Musical pitch

Heard as a frequency, 5,807 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +4¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, -32¢)
Position in π

The digit sequence 5807 first appears in π at position 14,072 of the decimal expansion (the 14,072ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.