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1,005,331

1,005,331 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.).

1,005,331 (one million five thousand three hundred thirty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5713.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,335,001
Square (n²)
1,010,690,419,561
Cube (n³)
1,016,078,410,187,679,691
Divisor count
2
σ(n) — sum of divisors
1,005,332
φ(n) — Euler's totient
1,005,330

Primality

1,005,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1005331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,005,331)
1 × 1005331
First multiples
1,005,331 · 2,010,662 (double) · 3,015,993 · 4,021,324 · 5,026,655 · 6,031,986 · 7,037,317 · 8,042,648 · 9,047,979 · 10,053,310

Sums & aliquot sequence

As consecutive integers: 502,665 + 502,666

Continued fraction of √n

√1,005,331 = [1002; (1, 1, 1, 22, 1, 12, 2, 2, 3, 4, 1, 3, 8, 3, 1, 2, 4, 6, 10, 2, 1, 20, 1, 1, …)]

Representations

In words
one million five thousand three hundred thirty-one
Ordinal
1005331st
Binary
11110101011100010011
Octal
3653423
Hexadecimal
0xF5713
Base64
D1cT
One's complement
4,293,961,964 (32-bit)
Scientific notation
1.005331 × 10⁶
As a duration
1,005,331 s = 11 days, 15 hours, 15 minutes, 31 seconds
In other bases
ternary (3) 1220002001111
quaternary (4) 3311130103
quinary (5) 224132311
senary (6) 33314151
septenary (7) 11354665
nonary (9) 1802044
undecimal (11) 627358
duodecimal (12) 405957
tridecimal (13) 292792
tetradecimal (14) 1c2535
pentadecimal (15) 14cd21

As an angle

1,005,331° = 2,792 × 360° + 211°
211° ≈ 3.683 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Chinese
一百萬五千三百三十一
Chinese (financial)
壹佰萬伍仟參佰參拾壹
In other modern scripts
Eastern Arabic ١٠٠٥٣٣١ Devanagari १००५३३१ Bengali ১০০৫৩৩১ Tamil ௧௦௦௫௩௩௧ Thai ๑๐๐๕๓๓๑ Tibetan ༡༠༠༥༣༣༡ Khmer ១០០៥៣៣១ Lao ໑໐໐໕໓໓໑ Burmese ၁၀၀၅၃၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F5713
RGB(15, 87, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.19.

Address
0.15.87.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.87.19

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 1,005,331 and was likely granted around 1911.

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.