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Number

5,309

5,309 is a prime, odd.

5,309 (five thousand three hundred nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x14BD.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
9,035
Recamán's sequence
a(2,358) = 5,309
Square (n²)
28,185,481
Cube (n³)
149,636,718,629
Divisor count
2
σ(n) — sum of divisors
5,310
φ(n) — Euler's totient
5,308

Primality

5,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,309)
1 × 5309
First multiples
5,309 · 10,618 (double) · 15,927 · 21,236 · 26,545 · 31,854 · 37,163 · 42,472 · 47,781 · 53,090

Sums & aliquot sequence

As a sum of two squares: 50² + 53²
As consecutive integers: 2,654 + 2,655

Continued fraction of √n

√5,309 = [72; (1, 6, 3, 2, 2, 3, 6, 1, 144)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred nine
Ordinal
5309th
Binary
1010010111101
Octal
12275
Hexadecimal
0x14BD
Base64
FL0=
One's complement
60,226 (16-bit)
Scientific notation
5.309 × 10³
As a duration
5,309 s = 1 hour, 28 minutes, 29 seconds
In other bases
ternary (3) 21021122
quaternary (4) 1102331
quinary (5) 132214
senary (6) 40325
septenary (7) 21323
nonary (9) 7248
undecimal (11) 3a97
duodecimal (12) 30a5
tridecimal (13) 2555
tetradecimal (14) 1d13
pentadecimal (15) 188e

As an angle

5,309° = 14 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ετθʹ
Mayan (base 20)
𝋭·𝋥·𝋩
Chinese
五千三百零九
Chinese (financial)
伍仟參佰零玖
In other modern scripts
Eastern Arabic ٥٣٠٩ Devanagari ५३०९ Bengali ৫৩০৯ Tamil ௫௩௦௯ Thai ๕๓๐๙ Tibetan ༥༣༠༩ Khmer ៥៣០៩ Lao ໕໓໐໙ Burmese ၅၃၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,309 = 3
e — Euler's number (e)
Digit 5,309 = 6
φ — Golden ratio (φ)
Digit 5,309 = 7
√2 — Pythagoras's (√2)
Digit 5,309 = 9
ln 2 — Natural log of 2
Digit 5,309 = 1
γ — Euler-Mascheroni (γ)
Digit 5,309 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,303 (gap of 6)
  • Next prime: 5,323 (gap of 14)

Pair status: sexy with 5303.

Unicode codepoint
Canadian Syllabics Mh
U+14BD
Other letter (Lo)

UTF-8 encoding: E1 92 BD (3 bytes).

Hex color
#0014BD
RGB(0, 20, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.189.

Address
0.0.20.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.189

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

Musical pitch

Heard as a frequency, 5,309 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +11¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +49¢ — about midway to F8)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +13¢)
Position in π

The digit sequence 5309 first appears in π at position 419 of the decimal expansion (the 419ordinal-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.