Live analysis

1,065,133

1,065,133 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.).

1,065,133 (one million sixty-five thousand one hundred thirty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1040AD.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,065,121 1,065,122 1,065,123 1,065,124 1,065,125 1,065,126 1,065,127 1,065,128 1,065,129 1,065,130 1,065,131 1,065,132 1,065,133 1,065,134 1,065,135 1,065,136 1,065,137 1,065,138 1,065,139 1,065,140 1,065,141 1,065,142 1,065,143 1,065,144 1,065,145

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Properties

Parity: Odd
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 21 bits
Reversed: 3,315,601
Square (n²): 1,134,508,307,689
Cube (n³): 1,208,402,237,293,707,637
Divisor count: 2
σ(n) — sum of divisors: 1,065,134
φ(n) — Euler's totient: 1,065,132

Primality

1,065,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1065133

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,065,133)

1 × 1065133

First multiples

1,065,133 · 2,130,266 (double) · 3,195,399 · 4,260,532 · 5,325,665 · 6,390,798 · 7,455,931 · 8,521,064 · 9,586,197 · 10,651,330

Sums & aliquot sequence

As a sum of two squares: 102² + 1,027²

As consecutive integers: 532,566 + 532,567

Continued fraction of √n

√1,065,133 = [1032; (18, 1, 14, 1, 2, 4, 2, 8, 8, 1, 1, 2, 4, 66, 2, 1, 4, 8, 3, 1, 1, 3, 30, 13, …)]

Representations

In words: one million sixty-five thousand one hundred thirty-three
Ordinal: 1065133rd
Binary: 100000100000010101101
Octal: 4040255
Hexadecimal: 0x1040AD
Base64: EECt
One's complement: 4,293,902,162 (32-bit)
Scientific notation: 1.065133 × 10⁶
As a duration: 1,065,133 s = 12 days, 7 hours, 52 minutes, 13 seconds

In other bases

ternary (3) 2000010002101

quaternary (4) 10010002231

quinary (5) 233041013

senary (6) 34455101

septenary (7) 12024226

nonary (9) 2003071

undecimal (11) 668283

duodecimal (12) 434491

tridecimal (13) 2b3a74

tetradecimal (14) 1da24d

pentadecimal (15) 1608dd

As an angle

1,065,133° = 2,958 × 360° + 253°

253° ≈ 4.416 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零六萬五千一百三十三
Chinese (financial): 壹佰零陸萬伍仟壹佰參拾參

In other modern scripts

Eastern Arabic ١٠٦٥١٣٣ Devanagari १०६५१३३ Bengali ১০৬৫১৩৩ Tamil ௧௦௬௫௧௩௩ Thai ๑๐๖๕๑๓๓ Tibetan ༡༠༦༥༡༣༣ Khmer ១០៦៥១៣៣ Lao ໑໐໖໕໑໓໓ Burmese ၁၀၆၅၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,065,131 (gap of 2)
Next prime: 1,065,137 (gap of 4)

Pair status: twin with 1065131, cousin with 1065137.

Hex color

#1040AD

RGB(16, 64, 173)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.64.173.

Address: 0.16.64.173
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.64.173

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 6, 5133 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5133-06-01 (DMMYYYY (Euro, single-digit day))
5133-10-06 (MMDYYYY (US, single-digit day))
5133-06-10 (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 1,065,133 and was likely granted around 1913.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,065,133 on Google Patents ↗ Look up on USPTO ↗