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1,006,361

1,006,361 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.).

1,006,361 (one million six thousand three hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5B19.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,636,001
Square (n²)
1,012,762,462,321
Cube (n³)
1,019,204,644,343,823,881
Divisor count
2
σ(n) — sum of divisors
1,006,362
φ(n) — Euler's totient
1,006,360

Primality

1,006,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,361)
1 × 1006361
First multiples
1,006,361 · 2,012,722 (double) · 3,019,083 · 4,025,444 · 5,031,805 · 6,038,166 · 7,044,527 · 8,050,888 · 9,057,249 · 10,063,610

Sums & aliquot sequence

As a sum of two squares: 556² + 835²
As consecutive integers: 503,180 + 503,181

Continued fraction of √n

√1,006,361 = [1003; (5, 1, 2, 3, 15, 2, 1, 1, 1, 10, 1, 3, 2, 2, 1, 1, 1, 1, 33, 2, 1, 1, 4, 1, …)]

Representations

In words
one million six thousand three hundred sixty-one
Ordinal
1006361st
Binary
11110101101100011001
Octal
3655431
Hexadecimal
0xF5B19
Base64
D1sZ
One's complement
4,293,960,934 (32-bit)
Scientific notation
1.006361 × 10⁶
As a duration
1,006,361 s = 11 days, 15 hours, 32 minutes, 41 seconds
In other bases
ternary (3) 1220010110122
quaternary (4) 3311230121
quinary (5) 224200421
senary (6) 33323025
septenary (7) 11360666
nonary (9) 1803418
undecimal (11) 628104
duodecimal (12) 406475
tridecimal (13) 2930a5
tetradecimal (14) 1c2a6d
pentadecimal (15) 14d2ab

As an angle

1,006,361° = 2,795 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百萬六千三百六十一
Chinese (financial)
壹佰萬陸仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٠٦٣٦١ Devanagari १००६३६१ Bengali ১০০৬৩৬১ Tamil ௧௦௦௬௩௬௧ Thai ๑๐๐๖๓๖๑ Tibetan ༡༠༠༦༣༦༡ Khmer ១០០៦៣៦១ Lao ໑໐໐໖໓໖໑ Burmese ၁၀၀၆၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1006367.

Hex color
#0F5B19
RGB(15, 91, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.25.

Address
0.15.91.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.25

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 1,006,361 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.