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1,055,137

1,055,137 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.).

1,055,137 (one million fifty-five thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1019A1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
7,315,501
Square (n²)
1,113,314,088,769
Cube (n³)
1,174,698,887,681,456,353
Divisor count
2
σ(n) — sum of divisors
1,055,138
φ(n) — Euler's totient
1,055,136

Primality

1,055,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1055137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,055,137)
1 × 1055137
First multiples
1,055,137 · 2,110,274 (double) · 3,165,411 · 4,220,548 · 5,275,685 · 6,330,822 · 7,385,959 · 8,441,096 · 9,496,233 · 10,551,370

Sums & aliquot sequence

As a sum of two squares: 81² + 1,024²
As consecutive integers: 527,568 + 527,569

Continued fraction of √n

√1,055,137 = [1027; (5, 28, 1, 2, 1, 3, 2, 8, 75, 1, 32, 1, 2, 4, 10, 1, 227, 2, 1, 4, 2, 1, 2, 1, …)]

Representations

In words
one million fifty-five thousand one hundred thirty-seven
Ordinal
1055137th
Binary
100000001100110100001
Octal
4014641
Hexadecimal
0x1019A1
Base64
EBmh
One's complement
4,293,912,158 (32-bit)
Scientific notation
1.055137 × 10⁶
As a duration
1,055,137 s = 12 days, 5 hours, 5 minutes, 37 seconds
In other bases
ternary (3) 1222121101011
quaternary (4) 10001212201
quinary (5) 232231022
senary (6) 34340521
septenary (7) 11653126
nonary (9) 1877334
undecimal (11) 660816
duodecimal (12) 42a741
tridecimal (13) 2ac355
tetradecimal (14) 1d674d
pentadecimal (15) 15c977

As an angle

1,055,137° = 2,930 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千一百三十七
Chinese (financial)
壹佰零伍萬伍仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٥٥١٣٧ Devanagari १०५५१३७ Bengali ১০৫৫১৩৭ Tamil ௧௦௫௫௧௩௭ Thai ๑๐๕๕๑๓๗ Tibetan ༡༠༥༥༡༣༧ Khmer ១០៥៥១៣៧ Lao ໑໐໕໕໑໓໗ Burmese ၁၀၅၅၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1055141.

Hex color
#1019A1
RGB(16, 25, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.161.

Address
0.16.25.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.25.161

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 5137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5137-05-01 (DMMYYYY (Euro, single-digit day))
  • 5137-10-05 (MMDYYYY (US, single-digit day))
  • 5137-05-10 (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 1,055,137 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.