Live analysis

1,002,173

1,002,173 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.).

1,002,173 (one million two thousand one hundred seventy-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4ABD.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,161 1,002,162 1,002,163 1,002,164 1,002,165 1,002,166 1,002,167 1,002,168 1,002,169 1,002,170 1,002,171 1,002,172 1,002,173 1,002,174 1,002,175 1,002,176 1,002,177 1,002,178 1,002,179 1,002,180 1,002,181 1,002,182 1,002,183 1,002,184 1,002,185

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 3,712,001
Square (n²): 1,004,350,721,929
Cube (n³): 1,006,533,176,047,751,717
Divisor count: 2
σ(n) — sum of divisors: 1,002,174
φ(n) — Euler's totient: 1,002,172

Primality

1,002,173 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002173

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,173)

1 × 1002173

First multiples

1,002,173 · 2,004,346 (double) · 3,006,519 · 4,008,692 · 5,010,865 · 6,013,038 · 7,015,211 · 8,017,384 · 9,019,557 · 10,021,730

Sums & aliquot sequence

As a sum of two squares: 277² + 962²

As consecutive integers: 501,086 + 501,087

Continued fraction of √n

√1,002,173 = [1001; (11, 1, 1, 1, 3, 1, 1, 46, 500, 1, 1, 11, 7, 7, 11, 1, 1, 500, 46, 1, 1, 3, 1, 1, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words: one million two thousand one hundred seventy-three
Ordinal: 1002173rd
Binary: 11110100101010111101
Octal: 3645275
Hexadecimal: 0xF4ABD
Base64: D0q9
One's complement: 4,293,965,122 (32-bit)
Scientific notation: 1.002173 × 10⁶
As a duration: 1,002,173 s = 11 days, 14 hours, 22 minutes, 53 seconds

In other bases

ternary (3) 1212220201112

quaternary (4) 3310222331

quinary (5) 224032143

senary (6) 33251405

septenary (7) 11342534

nonary (9) 1786645

undecimal (11) 624a47

duodecimal (12) 403b65

tridecimal (13) 291203

tetradecimal (14) 1c131b

pentadecimal (15) 14be18

As an angle

1,002,173° = 2,783 × 360° + 293°

293° ≈ 5.114 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百萬二千一百七十三
Chinese (financial): 壹佰萬貳仟壹佰柒拾參

In other modern scripts

Eastern Arabic ١٠٠٢١٧٣ Devanagari १००२१७३ Bengali ১০০২১৭৩ Tamil ௧௦௦௨௧௭௩ Thai ๑๐๐๒๑๗๓ Tibetan ༡༠༠༢༡༧༣ Khmer ១០០២១៧៣ Lao ໑໐໐໒໑໗໓ Burmese ၁၀၀၂၁၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,151 (gap of 22)
Next prime: 1,002,191 (gap of 18)

Hex color

#0F4ABD

RGB(15, 74, 189)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.189.

Address: 0.15.74.189
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.189

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 1,002,173 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 US1,002,173 on Google Patents ↗ Look up on USPTO ↗