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Number

5,009

5,009 is a prime, odd.

5,009 (five thousand nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1391.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
9,005
Recamán's sequence
a(97,578) = 5,009
Square (n²)
25,090,081
Cube (n³)
125,676,215,729
Divisor count
2
σ(n) — sum of divisors
5,010
φ(n) — Euler's totient
5,008

Primality

5,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,009)
1 × 5009
First multiples
5,009 · 10,018 (double) · 15,027 · 20,036 · 25,045 · 30,054 · 35,063 · 40,072 · 45,081 · 50,090

Sums & aliquot sequence

As a sum of two squares: 28² + 65²
As consecutive integers: 2,504 + 2,505

Continued fraction of √n

√5,009 = [70; (1, 3, 2, 3, 10, 1, 1, 2, 19, 1, 4, 1, 2, 2, 5, 1, 2, 1, 2, 3, 1, 2, 8, 2, …)]

Representations

In words
five thousand nine
Ordinal
5009th
Binary
1001110010001
Octal
11621
Hexadecimal
0x1391
Base64
E5E=
One's complement
60,526 (16-bit)
Scientific notation
5.009 × 10³
As a duration
5,009 s = 1 hour, 23 minutes, 29 seconds
In other bases
ternary (3) 20212112
quaternary (4) 1032101
quinary (5) 130014
senary (6) 35105
septenary (7) 20414
nonary (9) 6775
undecimal (11) 3844
duodecimal (12) 2a95
tridecimal (13) 2384
tetradecimal (14) 1b7b
pentadecimal (15) 173e

As an angle

5,009° = 13 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εθʹ
Mayan (base 20)
𝋬·𝋪·𝋩
Chinese
五千零九
Chinese (financial)
伍仟零玖
In other modern scripts
Eastern Arabic ٥٠٠٩ Devanagari ५००९ Bengali ৫০০৯ Tamil ௫௦௦௯ Thai ๕๐๐๙ Tibetan ༥༠༠༩ Khmer ៥០០៩ Lao ໕໐໐໙ Burmese ၅၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,009 = 3
e — Euler's number (e)
Digit 5,009 = 1
φ — Golden ratio (φ)
Digit 5,009 = 2
√2 — Pythagoras's (√2)
Digit 5,009 = 1
ln 2 — Natural log of 2
Digit 5,009 = 1
γ — Euler-Mascheroni (γ)
Digit 5,009 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,003 (gap of 6)
  • Next prime: 5,011 (gap of 2)

Pair status: twin with 5011, sexy with 5003.

Unicode codepoint
Ethiopic Tonal Mark Deret
U+1391
Other symbol (So)

UTF-8 encoding: E1 8E 91 (3 bytes).

Hex color
#001391
RGB(0, 19, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.145.

Address
0.0.19.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.145

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

Musical pitch

Heard as a frequency, 5,009 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +11¢)
  • Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +48¢ — about midway to E8)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +12¢)
Position in π

The digit sequence 5009 first appears in π at position 21,029 of the decimal expansion (the 21,029ordinal-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.

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.