Live analysis

1,002,191

1,002,191 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.).

1,002,191 (one million two thousand one hundred ninety-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4ACF.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,179 1,002,180 1,002,181 1,002,182 1,002,183 1,002,184 1,002,185 1,002,186 1,002,187 1,002,188 1,002,189 1,002,190 1,002,191 1,002,192 1,002,193 1,002,194 1,002,195 1,002,196 1,002,197 1,002,198 1,002,199 1,002,200 1,002,201 1,002,202 1,002,203

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,912,001
Square (n²): 1,004,386,800,481
Cube (n³): 1,006,587,411,960,853,871
Divisor count: 2
σ(n) — sum of divisors: 1,002,192
φ(n) — Euler's totient: 1,002,190

Primality

1,002,191 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002191

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,191)

1 × 1002191

First multiples

1,002,191 · 2,004,382 (double) · 3,006,573 · 4,008,764 · 5,010,955 · 6,013,146 · 7,015,337 · 8,017,528 · 9,019,719 · 10,021,910

Sums & aliquot sequence

As consecutive integers: 501,095 + 501,096

Continued fraction of √n

√1,002,191 = [1001; (10, 1, 1, 6, 5, 7, 1, 2, 1, 1, 3, 5, 1, 15, 5, 1, 1, 1, 11, 2, 1, 12, 3, 13, …)]

Representations

In words: one million two thousand one hundred ninety-one
Ordinal: 1002191st
Binary: 11110100101011001111
Octal: 3645317
Hexadecimal: 0xF4ACF
Base64: D0rP
One's complement: 4,293,965,104 (32-bit)
Scientific notation: 1.002191 × 10⁶
As a duration: 1,002,191 s = 11 days, 14 hours, 23 minutes, 11 seconds

In other bases

ternary (3) 1212220202012

quaternary (4) 3310223033

quinary (5) 224032231

senary (6) 33251435

septenary (7) 11342561

nonary (9) 1786665

undecimal (11) 624a63

duodecimal (12) 403b7b

tridecimal (13) 291218

tetradecimal (14) 1c1331

pentadecimal (15) 14be2b

As an angle

1,002,191° = 2,783 × 360° + 311°

311° ≈ 5.428 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬二千一百九十一
Chinese (financial): 壹佰萬貳仟壹佰玖拾壹

In other modern scripts

Eastern Arabic ١٠٠٢١٩١ Devanagari १००२१९१ Bengali ১০০২১৯১ Tamil ௧௦௦௨௧௯௧ Thai ๑๐๐๒๑๙๑ Tibetan ༡༠༠༢༡༩༡ Khmer ១០០២១៩១ Lao ໑໐໐໒໑໙໑ Burmese ၁၀၀၂၁၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,173 (gap of 18)
Next prime: 1,002,227 (gap of 36)

Hex color

#0F4ACF

RGB(15, 74, 207)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.207.

Address: 0.15.74.207
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.207

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 1,002,191 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 US1,002,191 on Google Patents ↗ Look up on USPTO ↗