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1,057,993

1,057,993 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.).

1,057,993 (one million fifty-seven 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, 0x1024C9.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
3,997,501
Square (n²)
1,119,349,188,049
Cube (n³)
1,184,263,605,511,525,657
Divisor count
2
σ(n) — sum of divisors
1,057,994
φ(n) — Euler's totient
1,057,992

Primality

1,057,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1057993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,057,993)
1 × 1057993
First multiples
1,057,993 · 2,115,986 (double) · 3,173,979 · 4,231,972 · 5,289,965 · 6,347,958 · 7,405,951 · 8,463,944 · 9,521,937 · 10,579,930

Sums & aliquot sequence

As a sum of two squares: 228² + 1,003²
As consecutive integers: 528,996 + 528,997

Continued fraction of √n

√1,057,993 = [1028; (1, 1, 2, 2, 1, 8, 1, 2, 4, 1, 32, 1, 10, 3, 1, 2, 4, 2, 1, 9, 5, 685, 1, 1, …)]

Representations

In words
one million fifty-seven thousand nine hundred ninety-three
Ordinal
1057993rd
Binary
100000010010011001001
Octal
4022311
Hexadecimal
0x1024C9
Base64
ECTJ
One's complement
4,293,909,302 (32-bit)
Scientific notation
1.057993 × 10⁶
As a duration
1,057,993 s = 12 days, 5 hours, 53 minutes, 13 seconds
In other bases
ternary (3) 1222202021221
quaternary (4) 10002103021
quinary (5) 232323433
senary (6) 34402041
septenary (7) 11664346
nonary (9) 1882257
undecimal (11) 662982
duodecimal (12) 430321
tridecimal (13) 2b0741
tetradecimal (14) 1d77cd
pentadecimal (15) 15d72d

As an angle

1,057,993° = 2,938 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零五萬七千九百九十三
Chinese (financial)
壹佰零伍萬柒仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٠٥٧٩٩٣ Devanagari १०५७९९३ Bengali ১০৫৭৯৯৩ Tamil ௧௦௫௭௯௯௩ Thai ๑๐๕๗๙๙๓ Tibetan ༡༠༥༧༩༩༣ Khmer ១០៥៧៩៩៣ Lao ໑໐໕໗໙໙໓ Burmese ၁၀၅၇၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#1024C9
RGB(16, 36, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.36.201.

Address
0.16.36.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.36.201

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 7993 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7993-05-01 (DMMYYYY (Euro, single-digit day))
  • 7993-10-05 (MMDYYYY (US, single-digit day))
  • 7993-05-10 (DDMYYYY (Euro, single-digit month))
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 1,057,993 and was likely granted around 1912.

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.