Live analysis

1,003,201

1,003,201 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.).

1,003,201 (one million three thousand two hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4EC1.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,189 1,003,190 1,003,191 1,003,192 1,003,193 1,003,194 1,003,195 1,003,196 1,003,197 1,003,198 1,003,199 1,003,200 1,003,201 1,003,202 1,003,203 1,003,204 1,003,205 1,003,206 1,003,207 1,003,208 1,003,209 1,003,210 1,003,211 1,003,212 1,003,213

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 1,023,001
Square (n²): 1,006,412,246,401
Cube (n³): 1,009,633,772,001,729,601
Divisor count: 2
σ(n) — sum of divisors: 1,003,202
φ(n) — Euler's totient: 1,003,200

Primality

1,003,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003201

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,201)

1 × 1003201

First multiples

1,003,201 · 2,006,402 (double) · 3,009,603 · 4,012,804 · 5,016,005 · 6,019,206 · 7,022,407 · 8,025,608 · 9,028,809 · 10,032,010

Sums & aliquot sequence

As a sum of two squares: 225² + 976²

As consecutive integers: 501,600 + 501,601

Continued fraction of √n

√1,003,201 = [1001; (1, 1, 2, 50, 1, 26, 1, 5, 3, 5, 1, 5, 1, 1, 2, 1, 2, 26, 2, 1, 13, 4, 6, 5, …)]

Representations

In words: one million three thousand two hundred one
Ordinal: 1003201st
Binary: 11110100111011000001
Octal: 3647301
Hexadecimal: 0xF4EC1
Base64: D07B
One's complement: 4,293,964,094 (32-bit)
Scientific notation: 1.003201 × 10⁶
As a duration: 1,003,201 s = 11 days, 14 hours, 40 minutes, 1 second

In other bases

ternary (3) 1212222010121

quaternary (4) 3310323001

quinary (5) 224100301

senary (6) 33300241

septenary (7) 11345533

nonary (9) 1788117

undecimal (11) 6257a1

duodecimal (12) 404681

tridecimal (13) 291814

tetradecimal (14) 1c1853

pentadecimal (15) 14c3a1

As an angle

1,003,201° = 2,786 × 360° + 241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓏺
Chinese: 一百萬三千二百零一
Chinese (financial): 壹佰萬參仟貳佰零壹

In other modern scripts

Eastern Arabic ١٠٠٣٢٠١ Devanagari १००३२०१ Bengali ১০০৩২০১ Tamil ௧௦௦௩௨௦௧ Thai ๑๐๐๓๒๐๑ Tibetan ༡༠༠༣༢༠༡ Khmer ១០០៣២០១ Lao ໑໐໐໓໒໐໑ Burmese ၁၀၀၃၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,199 (gap of 2)
Next prime: 1,003,241 (gap of 40)

Pair status: twin with 1003199.

Hex color

#0F4EC1

RGB(15, 78, 193)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.193.

Address: 0.15.78.193
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.193

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 1,003,201 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 US1,003,201 on Google Patents ↗ Look up on USPTO ↗