Live analysis

1,004,221

1,004,221 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.).

1,004,221 (one million four thousand two hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF52BD.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,209 1,004,210 1,004,211 1,004,212 1,004,213 1,004,214 1,004,215 1,004,216 1,004,217 1,004,218 1,004,219 1,004,220 1,004,221 1,004,222 1,004,223 1,004,224 1,004,225 1,004,226 1,004,227 1,004,228 1,004,229 1,004,230 1,004,231 1,004,232 1,004,233

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 1,224,001
Square (n²): 1,008,459,816,841
Cube (n³): 1,012,716,525,727,885,861
Divisor count: 2
σ(n) — sum of divisors: 1,004,222
φ(n) — Euler's totient: 1,004,220

Primality

1,004,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004221

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,221)

1 × 1004221

First multiples

1,004,221 · 2,008,442 (double) · 3,012,663 · 4,016,884 · 5,021,105 · 6,025,326 · 7,029,547 · 8,033,768 · 9,037,989 · 10,042,210

Sums & aliquot sequence

As a sum of two squares: 350² + 939²

As consecutive integers: 502,110 + 502,111

Continued fraction of √n

√1,004,221 = [1002; (9, 4, 4, 14, 1, 18, 6, 1, 1, 13, 10, 2, 2, 1, 1, 1, 1, 16, 1, 1, 1, 56, 1, 1, …)]

Representations

In words: one million four thousand two hundred twenty-one
Ordinal: 1004221st
Binary: 11110101001010111101
Octal: 3651275
Hexadecimal: 0xF52BD
Base64: D1K9
One's complement: 4,293,963,074 (32-bit)
Scientific notation: 1.004221 × 10⁶
As a duration: 1,004,221 s = 11 days, 14 hours, 57 minutes, 1 second

In other bases

ternary (3) 1220000112101

quaternary (4) 3311022331

quinary (5) 224113341

senary (6) 33305101

septenary (7) 11351521

nonary (9) 1800471

undecimal (11) 626539

duodecimal (12) 405191

tridecimal (13) 29211a

tetradecimal (14) 1c1d81

pentadecimal (15) 14c831

As an angle

1,004,221° = 2,789 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese: 一百萬四千二百二十一
Chinese (financial): 壹佰萬肆仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ١٠٠٤٢٢١ Devanagari १००४२२१ Bengali ১০০৪২২১ Tamil ௧௦௦௪௨௨௧ Thai ๑๐๐๔๒๒๑ Tibetan ༡༠༠༤༢༢༡ Khmer ១០០៤២២១ Lao ໑໐໐໔໒໒໑ Burmese ၁၀၀၄၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,209 (gap of 12)
Next prime: 1,004,233 (gap of 12)

Hex color

#0F52BD

RGB(15, 82, 189)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.189.

Address: 0.15.82.189
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.189

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 1,004,221 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 US1,004,221 on Google Patents ↗ Look up on USPTO ↗