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1,006,003

1,006,003 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.).

1,006,003 (one million six thousand three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF59B3.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number 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
3,006,001
Square (n²)
1,012,042,036,009
Cube (n³)
1,018,117,324,351,162,027
Divisor count
2
σ(n) — sum of divisors
1,006,004
φ(n) — Euler's totient
1,006,002

Primality

1,006,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006003
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,003)
1 × 1006003
First multiples
1,006,003 · 2,012,006 (double) · 3,018,009 · 4,024,012 · 5,030,015 · 6,036,018 · 7,042,021 · 8,048,024 · 9,054,027 · 10,060,030

Sums & aliquot sequence

As consecutive integers: 503,001 + 503,002

Continued fraction of √n

√1,006,003 = [1002; (1, 333, 3, 222, 1, 1, 4, 36, 1, 12, 2, 24, 3, 1, 1, 10, 1, 3, 4, 1, 2, 16, 1, 1, …)]

Representations

In words
one million six thousand three
Ordinal
1006003rd
Binary
11110101100110110011
Octal
3654663
Hexadecimal
0xF59B3
Base64
D1mz
One's complement
4,293,961,292 (32-bit)
Scientific notation
1.006003 × 10⁶
As a duration
1,006,003 s = 11 days, 15 hours, 26 minutes, 43 seconds
In other bases
ternary (3) 1220002222101
quaternary (4) 3311212303
quinary (5) 224143003
senary (6) 33321231
septenary (7) 11356645
nonary (9) 1802871
undecimal (11) 627909
duodecimal (12) 406217
tridecimal (13) 292b8b
tetradecimal (14) 1c2895
pentadecimal (15) 14d11d

As an angle

1,006,003° = 2,794 × 360° + 163°
163° ≈ 2.845 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺
Chinese
一百萬六千零三
Chinese (financial)
壹佰萬陸仟零參
In other modern scripts
Eastern Arabic ١٠٠٦٠٠٣ Devanagari १००६००३ Bengali ১০০৬০০৩ Tamil ௧௦௦௬௦௦௩ Thai ๑๐๐๖๐๐๓ Tibetan ༡༠༠༦༠༠༣ Khmer ១០០៦០០៣ Lao ໑໐໐໖໐໐໓ Burmese ၁၀၀၆၀၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1006007.

Hex color
#0F59B3
RGB(15, 89, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.179.

Address
0.15.89.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.89.179

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 1,006,003 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 1006003 first appears in π at position 121,562 of the decimal expansion (the 121,562ordinal-suffix:nd 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.