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Number

5,209

5,209 is a prime, odd.

5,209 (five thousand two hundred nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1459.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
9,025
Recamán's sequence
a(4,718) = 5,209
Square (n²)
27,133,681
Cube (n³)
141,339,344,329
Divisor count
2
σ(n) — sum of divisors
5,210
φ(n) — Euler's totient
5,208

Primality

5,209 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5209
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,209)
1 × 5209
First multiples
5,209 · 10,418 (double) · 15,627 · 20,836 · 26,045 · 31,254 · 36,463 · 41,672 · 46,881 · 52,090

Sums & aliquot sequence

As a sum of two squares: 5² + 72²
As consecutive integers: 2,604 + 2,605

Continued fraction of √n

√5,209 = [72; (5, 1, 3, 3, 2, 3, 1, 2, 4, 3, 2, 1, 1, 1, 2, 1, 47, 2, 1, 1, 3, 1, 10, 3, …)]

Representations

In words
five thousand two hundred nine
Ordinal
5209th
Binary
1010001011001
Octal
12131
Hexadecimal
0x1459
Base64
FFk=
One's complement
60,326 (16-bit)
Scientific notation
5.209 × 10³
As a duration
5,209 s = 1 hour, 26 minutes, 49 seconds
In other bases
ternary (3) 21010221
quaternary (4) 1101121
quinary (5) 131314
senary (6) 40041
septenary (7) 21121
nonary (9) 7127
undecimal (11) 3a06
duodecimal (12) 3021
tridecimal (13) 24a9
tetradecimal (14) 1c81
pentadecimal (15) 1824

As an angle

5,209° = 14 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εσθʹ
Mayan (base 20)
𝋭·𝋠·𝋩
Chinese
五千二百零九
Chinese (financial)
伍仟貳佰零玖
In other modern scripts
Eastern Arabic ٥٢٠٩ Devanagari ५२०९ Bengali ৫২০৯ Tamil ௫௨௦௯ Thai ๕๒๐๙ Tibetan ༥༢༠༩ Khmer ៥២០៩ Lao ໕໒໐໙ Burmese ၅၂၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,209 = 3
e — Euler's number (e)
Digit 5,209 = 0
φ — Golden ratio (φ)
Digit 5,209 = 1
√2 — Pythagoras's (√2)
Digit 5,209 = 0
ln 2 — Natural log of 2
Digit 5,209 = 5
γ — Euler-Mascheroni (γ)
Digit 5,209 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,197 (gap of 12)
  • Next prime: 5,227 (gap of 18)
Unicode codepoint
Canadian Syllabics Twi
U+1459
Other letter (Lo)

UTF-8 encoding: E1 91 99 (3 bytes).

Hex color
#001459
RGB(0, 20, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.89.

Address
0.0.20.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.89

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

Musical pitch

Heard as a frequency, 5,209 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -21¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +16¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -20¢)
Position in π

The digit sequence 5209 first appears in π at position 325 of the decimal expansion (the 325ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.