Live analysis

1,003,241

1,003,241 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.).

1,003,241 (one million three thousand two hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4EE9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,003,229 1,003,230 1,003,231 1,003,232 1,003,233 1,003,234 1,003,235 1,003,236 1,003,237 1,003,238 1,003,239 1,003,240 1,003,241 1,003,242 1,003,243 1,003,244 1,003,245 1,003,246 1,003,247 1,003,248 1,003,249 1,003,250 1,003,251 1,003,252 1,003,253

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Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,423,001
Square (n²): 1,006,492,504,081
Cube (n³): 1,009,754,546,286,726,521
Divisor count: 2
σ(n) — sum of divisors: 1,003,242
φ(n) — Euler's totient: 1,003,240

Primality

1,003,241 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003241

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,241)

1 × 1003241

First multiples

1,003,241 · 2,006,482 (double) · 3,009,723 · 4,012,964 · 5,016,205 · 6,019,446 · 7,022,687 · 8,025,928 · 9,029,169 · 10,032,410

Sums & aliquot sequence

As a sum of two squares: 596² + 805²

As consecutive integers: 501,620 + 501,621

Continued fraction of √n

√1,003,241 = [1001; (1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 4, 2, 4, 1, 1, 3, 1, 11, 1, 1, 1, 24, 2, 1, …)]

Representations

In words: one million three thousand two hundred forty-one
Ordinal: 1003241st
Binary: 11110100111011101001
Octal: 3647351
Hexadecimal: 0xF4EE9
Base64: D07p
One's complement: 4,293,964,054 (32-bit)
Scientific notation: 1.003241 × 10⁶
As a duration: 1,003,241 s = 11 days, 14 hours, 40 minutes, 41 seconds

In other bases

ternary (3) 1212222012002

quaternary (4) 3310323221

quinary (5) 224100431

senary (6) 33300345

septenary (7) 11345621

nonary (9) 1788162

undecimal (11) 625828

duodecimal (12) 4046b5

tridecimal (13) 291845

tetradecimal (14) 1c1881

pentadecimal (15) 14c3cb

As an angle

1,003,241° = 2,786 × 360° + 281°

281° ≈ 4.904 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬三千二百四十一
Chinese (financial): 壹佰萬參仟貳佰肆拾壹

In other modern scripts

Eastern Arabic ١٠٠٣٢٤١ Devanagari १००३२४१ Bengali ১০০৩২৪১ Tamil ௧௦௦௩௨௪௧ Thai ๑๐๐๓๒๔๑ Tibetan ༡༠༠༣༢༤༡ Khmer ១០០៣២៤១ Lao ໑໐໐໓໒໔໑ Burmese ၁၀၀၃၂၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,201 (gap of 40)
Next prime: 1,003,259 (gap of 18)

Hex color

#0F4EE9

RGB(15, 78, 233)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.233.

Address: 0.15.78.233
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.233

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 1,003,241 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 US1,003,241 on Google Patents ↗ Look up on USPTO ↗