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1,031,309

1,031,309 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.).

1,031,309 (one million thirty-one thousand three hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFBC8D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
9,031,301
Square (n²)
1,063,598,253,481
Cube (n³)
1,096,898,451,199,236,629
Divisor count
2
σ(n) — sum of divisors
1,031,310
φ(n) — Euler's totient
1,031,308

Primality

1,031,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1031309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,031,309)
1 × 1031309
First multiples
1,031,309 · 2,062,618 (double) · 3,093,927 · 4,125,236 · 5,156,545 · 6,187,854 · 7,219,163 · 8,250,472 · 9,281,781 · 10,313,090

Sums & aliquot sequence

As a sum of two squares: 578² + 835²
As consecutive integers: 515,654 + 515,655

Continued fraction of √n

√1,031,309 = [1015; (1, 1, 6, 1, 7, 1, 2, 1, 5, 4, 3, 27, 1, 1, 17, 6, 1, 1, 3, 1, 3, 10, 2, 1, …)]

Representations

In words
one million thirty-one thousand three hundred nine
Ordinal
1031309th
Binary
11111011110010001101
Octal
3736215
Hexadecimal
0xFBC8D
Base64
D7yN
One's complement
4,293,935,986 (32-bit)
Scientific notation
1.031309 × 10⁶
As a duration
1,031,309 s = 11 days, 22 hours, 28 minutes, 29 seconds
In other bases
ternary (3) 1221101200122
quaternary (4) 3323302031
quinary (5) 231000214
senary (6) 34034325
septenary (7) 11523506
nonary (9) 1841618
undecimal (11) 644924
duodecimal (12) 4189a5
tridecimal (13) 2a1556
tetradecimal (14) 1cbbad
pentadecimal (15) 15588e

As an angle

1,031,309° = 2,864 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零三萬一千三百零九
Chinese (financial)
壹佰零參萬壹仟參佰零玖
In other modern scripts
Eastern Arabic ١٠٣١٣٠٩ Devanagari १०३१३०९ Bengali ১০৩১৩০৯ Tamil ௧௦௩௧௩௦௯ Thai ๑๐๓๑๓๐๙ Tibetan ༡༠༣༡༣༠༩ Khmer ១០៣១៣០៩ Lao ໑໐໓໑໓໐໙ Burmese ၁၀၃၁၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FBC8D
RGB(15, 188, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.188.141.

Address
0.15.188.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.188.141

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 3, 1309 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1309-03-01 (DMMYYYY (Euro, single-digit day))
  • 1309-10-03 (MMDYYYY (US, single-digit day))
  • 1309-03-10 (DDMYYYY (Euro, single-digit month))
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 1,031,309 and was likely granted around 1912.

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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.