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1,006,007

1,006,007 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.).

1,006,007 (one million six thousand seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF59B7.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
7,006,001
Square (n²)
1,012,050,084,049
Cube (n³)
1,018,129,468,903,882,343
Divisor count
2
σ(n) — sum of divisors
1,006,008
φ(n) — Euler's totient
1,006,006

Primality

1,006,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006007
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,007)
1 × 1006007
First multiples
1,006,007 · 2,012,014 (double) · 3,018,021 · 4,024,028 · 5,030,035 · 6,036,042 · 7,042,049 · 8,048,056 · 9,054,063 · 10,060,070

Sums & aliquot sequence

As consecutive integers: 503,003 + 503,004

Continued fraction of √n

√1,006,007 = [1002; (1, 1001, 1, 2004)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million six thousand seven
Ordinal
1006007th
Binary
11110101100110110111
Octal
3654667
Hexadecimal
0xF59B7
Base64
D1m3
One's complement
4,293,961,288 (32-bit)
Scientific notation
1.006007 × 10⁶
As a duration
1,006,007 s = 11 days, 15 hours, 26 minutes, 47 seconds
In other bases
ternary (3) 1220002222112
quaternary (4) 3311212313
quinary (5) 224143012
senary (6) 33321235
septenary (7) 11356652
nonary (9) 1802875
undecimal (11) 627912
duodecimal (12) 40621b
tridecimal (13) 292b92
tetradecimal (14) 1c2899
pentadecimal (15) 14d122

As an angle

1,006,007° = 2,794 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千零七
Chinese (financial)
壹佰萬陸仟零柒
In other modern scripts
Eastern Arabic ١٠٠٦٠٠٧ Devanagari १००६००७ Bengali ১০০৬০০৭ Tamil ௧௦௦௬௦௦௭ Thai ๑๐๐๖๐๐๗ Tibetan ༡༠༠༦༠༠༧ Khmer ១០០៦០០៧ Lao ໑໐໐໖໐໐໗ Burmese ၁၀၀၆၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1006003.

Hex color
#0F59B7
RGB(15, 89, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.183.

Address
0.15.89.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.89.183

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 1,006,007 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.