Live analysis

1,003,133

1,003,133 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.).

1,003,133 (one million three 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, 0xF4E7D.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,121 1,003,122 1,003,123 1,003,124 1,003,125 1,003,126 1,003,127 1,003,128 1,003,129 1,003,130 1,003,131 1,003,132 1,003,133 1,003,134 1,003,135 1,003,136 1,003,137 1,003,138 1,003,139 1,003,140 1,003,141 1,003,142 1,003,143 1,003,144 1,003,145

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 3,313,001
Square (n²): 1,006,275,815,689
Cube (n³): 1,009,428,477,819,553,637
Divisor count: 2
σ(n) — sum of divisors: 1,003,134
φ(n) — Euler's totient: 1,003,132

Primality

1,003,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003133

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,133)

1 × 1003133

First multiples

1,003,133 · 2,006,266 (double) · 3,009,399 · 4,012,532 · 5,015,665 · 6,018,798 · 7,021,931 · 8,025,064 · 9,028,197 · 10,031,330

Sums & aliquot sequence

As a sum of two squares: 197² + 982²

As consecutive integers: 501,566 + 501,567

Continued fraction of √n

√1,003,133 = [1001; (1, 1, 3, 3, 32, 1, 1, 6, 1, 7, 1, 1, 1, 1, 1, 3, 3, 8, 153, 1, 28, 1, 9, 2, …)]

Representations

In words: one million three thousand one hundred thirty-three
Ordinal: 1003133rd
Binary: 11110100111001111101
Octal: 3647175
Hexadecimal: 0xF4E7D
Base64: D059
One's complement: 4,293,964,162 (32-bit)
Scientific notation: 1.003133 × 10⁶
As a duration: 1,003,133 s = 11 days, 14 hours, 38 minutes, 53 seconds

In other bases

ternary (3) 1212222001002

quaternary (4) 3310321331

quinary (5) 224100013

senary (6) 33300045

septenary (7) 11345405

nonary (9) 1788032

undecimal (11) 62573a

duodecimal (12) 404625

tridecimal (13) 291791

tetradecimal (14) 1c1805

pentadecimal (15) 14c358

As an angle

1,003,133° = 2,786 × 360° + 173°

173° ≈ 3.019 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百萬三千一百三十三
Chinese (financial): 壹佰萬參仟壹佰參拾參

In other modern scripts

Eastern Arabic ١٠٠٣١٣٣ Devanagari १००३१३३ Bengali ১০০৩১৩৩ Tamil ௧௦௦௩௧௩௩ Thai ๑๐๐๓๑๓๓ Tibetan ༡༠༠༣༡༣༣ Khmer ១០០៣១៣៣ Lao ໑໐໐໓໑໓໓ Burmese ၁၀၀၃၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,111 (gap of 22)
Next prime: 1,003,141 (gap of 8)

Hex color

#0F4E7D

RGB(15, 78, 125)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.125.

Address: 0.15.78.125
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.125

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 1,003,133 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 US1,003,133 on Google Patents ↗ Look up on USPTO ↗