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1,000,333

1,000,333 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.).

1,000,333 (one million three hundred thirty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF438D.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
3,330,001
Square (n²)
1,000,666,110,889
Cube (n³)
1,000,999,332,703,926,037
Divisor count
2
σ(n) — sum of divisors
1,000,334
φ(n) — Euler's totient
1,000,332

Primality

1,000,333 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1000333
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,000,333)
1 × 1000333
First multiples
1,000,333 · 2,000,666 (double) · 3,000,999 · 4,001,332 · 5,001,665 · 6,001,998 · 7,002,331 · 8,002,664 · 9,002,997 · 10,003,330

Sums & aliquot sequence

As a sum of two squares: 397² + 918²
As consecutive integers: 500,166 + 500,167

Continued fraction of √n

√1,000,333 = [1000; (6, 153, 1, 2, 2, 1, 1, 3, 1, 11, 18, 2, 3, 2, 4, 1, 1, 1, 1, 2, 4, 13, 1, 23, …)]

Representations

In words
one million three hundred thirty-three
Ordinal
1000333rd
Binary
11110100001110001101
Octal
3641615
Hexadecimal
0xF438D
Base64
D0ON
One's complement
4,293,966,962 (32-bit)
Scientific notation
1.000333 × 10⁶
As a duration
1,000,333 s = 11 days, 13 hours, 52 minutes, 13 seconds
In other bases
ternary (3) 1212211012101
quaternary (4) 3310032031
quinary (5) 224002313
senary (6) 33235101
septenary (7) 11334265
nonary (9) 1784171
undecimal (11) 623624
duodecimal (12) 402a91
tridecimal (13) 290419
tetradecimal (14) 1c07a5
pentadecimal (15) 14b5dd

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬零三百三十三
Chinese (financial)
壹佰萬零參佰參拾參
In other modern scripts
Eastern Arabic ١٠٠٠٣٣٣ Devanagari १०००३३३ Bengali ১০০০৩৩৩ Tamil ௧௦௦௦௩௩௩ Thai ๑๐๐๐๓๓๓ Tibetan ༡༠༠༠༣༣༣ Khmer ១០០០៣៣៣ Lao ໑໐໐໐໓໓໓ Burmese ၁၀၀၀၃၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F438D
RGB(15, 67, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.141.

Address
0.15.67.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.141

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 1,000,333 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.