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107,309

107,309 is a prime, odd.

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.).

107,309 (one hundred seven thousand three hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A32D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
903,701
Recamán's sequence
a(82,673) = 107,309
Square (n²)
11,515,221,481
Cube (n³)
1,235,686,901,904,629
Divisor count
2
σ(n) — sum of divisors
107,310
φ(n) — Euler's totient
107,308

Primality

107,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,309)
1 × 107309
First multiples
107,309 · 214,618 (double) · 321,927 · 429,236 · 536,545 · 643,854 · 751,163 · 858,472 · 965,781 · 1,073,090

Sums & aliquot sequence

As a sum of two squares: 178² + 275²
As consecutive integers: 53,654 + 53,655

Continued fraction of √n

√107,309 = [327; (1, 1, 2, 1, 1, 1, 1, 8, 130, 1, 10, 1, 11, 2, 4, 25, 1, 58, 1, 1, 2, 22, 5, 5, …)]

Representations

In words
one hundred seven thousand three hundred nine
Ordinal
107309th
Binary
11010001100101101
Octal
321455
Hexadecimal
0x1A32D
Base64
AaMt
One's complement
4,294,859,986 (32-bit)
Scientific notation
1.07309 × 10⁵
As a duration
107,309 s = 1 day, 5 hours, 48 minutes, 29 seconds
In other bases
ternary (3) 12110012102
quaternary (4) 122030231
quinary (5) 11413214
senary (6) 2144445
septenary (7) 624566
nonary (9) 173172
undecimal (11) 73694
duodecimal (12) 52125
tridecimal (13) 39ac7
tetradecimal (14) 2b16d
pentadecimal (15) 21bde
Palindromic in base 12

As an angle

107,309° = 298 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζτθʹ
Mayan (base 20)
𝋭·𝋨·𝋥·𝋩
Chinese
十萬七千三百零九
Chinese (financial)
壹拾萬柒仟參佰零玖
In other modern scripts
Eastern Arabic ١٠٧٣٠٩ Devanagari १०७३०९ Bengali ১০৭৩০৯ Tamil ௧௦௭௩௦௯ Thai ๑๐๗๓๐๙ Tibetan ༡༠༧༣༠༩ Khmer ១០៧៣០៩ Lao ໑໐໗໓໐໙ Burmese ၁၀၇၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01A32D
RGB(1, 163, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.45.

Address
0.1.163.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.45

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 107,309 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.