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1,006,309

1,006,309 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.).

1,006,309 (one million six 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, 0xF5AE5.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
9,036,001
Square (n²)
1,012,657,803,481
Cube (n³)
1,019,046,661,563,161,629
Divisor count
2
σ(n) — sum of divisors
1,006,310
φ(n) — Euler's totient
1,006,308

Primality

1,006,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,309)
1 × 1006309
First multiples
1,006,309 · 2,012,618 (double) · 3,018,927 · 4,025,236 · 5,031,545 · 6,037,854 · 7,044,163 · 8,050,472 · 9,056,781 · 10,063,090

Sums & aliquot sequence

As a sum of two squares: 575² + 822²
As consecutive integers: 503,154 + 503,155

Continued fraction of √n

√1,006,309 = [1003; (6, 1, 2, 5, 11, 2, 10, 1, 2, 133, 2, 2, 3, 1, 1, 1, 1, 2, 1, 1, 1, 7, 18, 2, …)]

Representations

In words
one million six thousand three hundred nine
Ordinal
1006309th
Binary
11110101101011100101
Octal
3655345
Hexadecimal
0xF5AE5
Base64
D1rl
One's complement
4,293,960,986 (32-bit)
Scientific notation
1.006309 × 10⁶
As a duration
1,006,309 s = 11 days, 15 hours, 31 minutes, 49 seconds
In other bases
ternary (3) 1220010101201
quaternary (4) 3311223211
quinary (5) 224200214
senary (6) 33322501
septenary (7) 11360563
nonary (9) 1803351
undecimal (11) 628067
duodecimal (12) 406431
tridecimal (13) 293065
tetradecimal (14) 1c2a33
pentadecimal (15) 14d274

As an angle

1,006,309° = 2,795 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千三百零九
Chinese (financial)
壹佰萬陸仟參佰零玖
In other modern scripts
Eastern Arabic ١٠٠٦٣٠٩ Devanagari १००६३०९ Bengali ১০০৬৩০৯ Tamil ௧௦௦௬௩௦௯ Thai ๑๐๐๖๓๐๙ Tibetan ༡༠༠༦༣༠༩ Khmer ១០០៦៣០៩ Lao ໑໐໐໖໓໐໙ Burmese ၁၀၀၆၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1006307.

Hex color
#0F5AE5
RGB(15, 90, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.229.

Address
0.15.90.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.90.229

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 1,006,309 and was likely granted around 1911.

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

Position in π

The digit sequence 1006309 first appears in π at position 217,837 of the decimal expansion (the 217,837ordinal-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.