Live analysis

1,003,001

1,003,001 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.).

1,003,001 (one million three thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xF4DF9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Palindrome Palindromic Prime Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,002,989 1,002,990 1,002,991 1,002,992 1,002,993 1,002,994 1,002,995 1,002,996 1,002,997 1,002,998 1,002,999 1,003,000 1,003,001 1,003,002 1,003,003 1,003,004 1,003,005 1,003,006 1,003,007 1,003,008 1,003,009 1,003,010 1,003,011 1,003,012 1,003,013

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: Yes
Bit width: 20 bits
Square (n²): 1,006,011,006,001
Cube (n³): 1,009,030,045,030,009,001
Divisor count: 2
σ(n) — sum of divisors: 1,003,002
φ(n) — Euler's totient: 1,003,000

Primality

1,003,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,001)

1 × 1003001

First multiples

1,003,001 · 2,006,002 (double) · 3,009,003 · 4,012,004 · 5,015,005 · 6,018,006 · 7,021,007 · 8,024,008 · 9,027,009 · 10,030,010

Sums & aliquot sequence

As a sum of two squares: 320² + 949²

As consecutive integers: 501,500 + 501,501

Continued fraction of √n

√1,003,001 = [1001; (2, 400, 10, 80, 50, 16, 250, 3, 4, 1, 49, 3, 1, 4, 3, 1, 9, 3, 1, 24, 3, 1, 1, 3, …)]

Representations

In words: one million three thousand one
Ordinal: 1003001st
Binary: 11110100110111111001
Octal: 3646771
Hexadecimal: 0xF4DF9
Base64: D035
One's complement: 4,293,964,294 (32-bit)
Scientific notation: 1.003001 × 10⁶
As a duration: 1,003,001 s = 11 days, 14 hours, 36 minutes, 41 seconds

In other bases

ternary (3) 1212221212012

quaternary (4) 3310313321

quinary (5) 224044001

senary (6) 33255305

septenary (7) 11345126

nonary (9) 1787765

undecimal (11) 62562a

duodecimal (12) 404535

tridecimal (13) 2916bc

tetradecimal (14) 1c174d

pentadecimal (15) 14c2bb

As an angle

1,003,001° = 2,786 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓏺
Chinese: 一百萬三千零一
Chinese (financial): 壹佰萬參仟零壹

In other modern scripts

Eastern Arabic ١٠٠٣٠٠١ Devanagari १००३००१ Bengali ১০০৩০০১ Tamil ௧௦௦௩௦௦௧ Thai ๑๐๐๓๐๐๑ Tibetan ༡༠༠༣༠༠༡ Khmer ១០០៣០០១ Lao ໑໐໐໓໐໐໑ Burmese ၁၀၀၃၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,979 (gap of 22)
Next prime: 1,003,003 (gap of 2)

Pair status: twin with 1003003.

Hex color

#0F4DF9

RGB(15, 77, 249)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.249.

Address: 0.15.77.249
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.249

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 1,003,001 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 US1,003,001 on Google Patents ↗ Look up on USPTO ↗