Live analysis

1,005,133

1,005,133 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.).

1,005,133 (one million 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, 0xF564D.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,005,121 1,005,122 1,005,123 1,005,124 1,005,125 1,005,126 1,005,127 1,005,128 1,005,129 1,005,130 1,005,131 1,005,132 1,005,133 1,005,134 1,005,135 1,005,136 1,005,137 1,005,138 1,005,139 1,005,140 1,005,141 1,005,142 1,005,143 1,005,144 1,005,145

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 3,315,001
Square (n²): 1,010,292,347,689
Cube (n³): 1,015,478,178,309,687,637
Divisor count: 2
σ(n) — sum of divisors: 1,005,134
φ(n) — Euler's totient: 1,005,132

Primality

1,005,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005133

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,133)

1 × 1005133

First multiples

1,005,133 · 2,010,266 (double) · 3,015,399 · 4,020,532 · 5,025,665 · 6,030,798 · 7,035,931 · 8,041,064 · 9,046,197 · 10,051,330

Sums & aliquot sequence

As a sum of two squares: 403² + 918²

As consecutive integers: 502,566 + 502,567

Continued fraction of √n

√1,005,133 = [1002; (1, 1, 3, 2, 5, 38, 2, 1, 1, 1, 12, 4, 2, 1, 1, 2, 2, 1, 1, 1, 166, 2, 6, 2, …)]

Representations

In words: one million five thousand one hundred thirty-three
Ordinal: 1005133rd
Binary: 11110101011001001101
Octal: 3653115
Hexadecimal: 0xF564D
Base64: D1ZN
One's complement: 4,293,962,162 (32-bit)
Scientific notation: 1.005133 × 10⁶
As a duration: 1,005,133 s = 11 days, 15 hours, 12 minutes, 13 seconds

In other bases

ternary (3) 1220001210011

quaternary (4) 3311121031

quinary (5) 224131013

senary (6) 33313221

septenary (7) 11354263

nonary (9) 1801704

undecimal (11) 627198

duodecimal (12) 405811

tridecimal (13) 29266c

tetradecimal (14) 1c2433

pentadecimal (15) 14cc3d

As an angle

1,005,133° = 2,792 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百萬五千一百三十三
Chinese (financial): 壹佰萬伍仟壹佰參拾參

In other modern scripts

Eastern Arabic ١٠٠٥١٣٣ Devanagari १००५१३३ Bengali ১০০৫১৩৩ Tamil ௧௦௦௫௧௩௩ Thai ๑๐๐๕๑๓๓ Tibetan ༡༠༠༥༡༣༣ Khmer ១០០៥១៣៣ Lao ໑໐໐໕໑໓໓ Burmese ၁၀၀၅၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,131 (gap of 2)
Next prime: 1,005,143 (gap of 10)

Pair status: twin with 1005131.

Hex color

#0F564D

RGB(15, 86, 77)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.86.77.

Address: 0.15.86.77
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.86.77

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 1,005,133 and was likely granted around 1911.

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

Look up US1,005,133 on Google Patents ↗ Look up on USPTO ↗