Live analysis

1,003,103

1,003,103 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.).

1,003,103 (one million three thousand one hundred three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4E5F.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,091 1,003,092 1,003,093 1,003,094 1,003,095 1,003,096 1,003,097 1,003,098 1,003,099 1,003,100 1,003,101 1,003,102 1,003,103 1,003,104 1,003,105 1,003,106 1,003,107 1,003,108 1,003,109 1,003,110 1,003,111 1,003,112 1,003,113 1,003,114 1,003,115

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 3,013,001
Square (n²): 1,006,215,628,609
Cube (n³): 1,009,337,915,704,573,727
Divisor count: 2
σ(n) — sum of divisors: 1,003,104
φ(n) — Euler's totient: 1,003,102

Primality

1,003,103 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003103

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,103)

1 × 1003103

First multiples

1,003,103 · 2,006,206 (double) · 3,009,309 · 4,012,412 · 5,015,515 · 6,018,618 · 7,021,721 · 8,024,824 · 9,027,927 · 10,031,030

Sums & aliquot sequence

As consecutive integers: 501,551 + 501,552

Continued fraction of √n

√1,003,103 = [1001; (1, 1, 4, 2, 7, 1, 13, 1, 1, 8, 12, 1, 1, 3, 1, 1, 1, 2, 1, 21, 1, 3, 1, 1, …)]

Representations

In words: one million three thousand one hundred three
Ordinal: 1003103rd
Binary: 11110100111001011111
Octal: 3647137
Hexadecimal: 0xF4E5F
Base64: D05f
One's complement: 4,293,964,192 (32-bit)
Scientific notation: 1.003103 × 10⁶
As a duration: 1,003,103 s = 11 days, 14 hours, 38 minutes, 23 seconds

In other bases

ternary (3) 1212221222222

quaternary (4) 3310321133

quinary (5) 224044403

senary (6) 33255555

septenary (7) 11345333

nonary (9) 1787888

undecimal (11) 625712

duodecimal (12) 4045bb

tridecimal (13) 29176a

tetradecimal (14) 1c17c3

pentadecimal (15) 14c338

As an angle

1,003,103° = 2,786 × 360° + 143°

143° ≈ 2.496 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓏺𓏺𓏺
Chinese: 一百萬三千一百零三
Chinese (financial): 壹佰萬參仟壹佰零參

In other modern scripts

Eastern Arabic ١٠٠٣١٠٣ Devanagari १००३१०३ Bengali ১০০৩১০৩ Tamil ௧௦௦௩௧௦௩ Thai ๑๐๐๓๑๐๓ Tibetan ༡༠༠༣༡༠༣ Khmer ១០០៣១០៣ Lao ໑໐໐໓໑໐໓ Burmese ၁၀၀၃၁၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,097 (gap of 6)
Next prime: 1,003,109 (gap of 6)

Pair status: sexy with 1003097, sexy with 1003109.

Hex color

#0F4E5F

RGB(15, 78, 95)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.95.

Address: 0.15.78.95
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.95

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 1,003,103 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 US1,003,103 on Google Patents ↗ Look up on USPTO ↗