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1,009,993

1,009,993 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.).

1,009,993 (one million nine thousand nine hundred ninety-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6949.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,999,001
Square (n²)
1,020,085,860,049
Cube (n³)
1,030,279,578,048,469,657
Divisor count
2
σ(n) — sum of divisors
1,009,994
φ(n) — Euler's totient
1,009,992

Primality

1,009,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1009993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,009,993)
1 × 1009993
First multiples
1,009,993 · 2,019,986 (double) · 3,029,979 · 4,039,972 · 5,049,965 · 6,059,958 · 7,069,951 · 8,079,944 · 9,089,937 · 10,099,930

Sums & aliquot sequence

As a sum of two squares: 533² + 852²
As consecutive integers: 504,996 + 504,997

Continued fraction of √n

√1,009,993 = [1004; (1, 61, 1, 4, 3, 7, 1, 1, 5, 1, 10, 7, 3, 12, 2, 15, 9, 1, 14, 2, 3, 1, 6, 74, …)]

Representations

In words
one million nine thousand nine hundred ninety-three
Ordinal
1009993rd
Binary
11110110100101001001
Octal
3664511
Hexadecimal
0xF6949
Base64
D2lJ
One's complement
4,293,957,302 (32-bit)
Scientific notation
1.009993 × 10⁶
As a duration
1,009,993 s = 11 days, 16 hours, 33 minutes, 13 seconds
In other bases
ternary (3) 1220022110011
quaternary (4) 3312211021
quinary (5) 224304433
senary (6) 33351521
septenary (7) 11404405
nonary (9) 1808404
undecimal (11) 62a906
duodecimal (12) 4085a1
tridecimal (13) 29493a
tetradecimal (14) 1c4105
pentadecimal (15) 14e3cd

As an angle

1,009,993° = 2,805 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬九千九百九十三
Chinese (financial)
壹佰萬玖仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٠٠٩٩٩٣ Devanagari १००९९९३ Bengali ১০০৯৯৯৩ Tamil ௧௦௦௯௯௯௩ Thai ๑๐๐๙๙๙๓ Tibetan ༡༠༠༩༩༩༣ Khmer ១០០៩៩៩៣ Lao ໑໐໐໙໙໙໓ Burmese ၁၀၀၉၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1009991, cousin with 1009997.

Hex color
#0F6949
RGB(15, 105, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.73.

Address
0.15.105.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.105.73

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 1,009,993 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.