Live analysis

1,004,027

1,004,027 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.).

1,004,027 (one million four thousand twenty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF51FB.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Safe Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,004,015 1,004,016 1,004,017 1,004,018 1,004,019 1,004,020 1,004,021 1,004,022 1,004,023 1,004,024 1,004,025 1,004,026 1,004,027 1,004,028 1,004,029 1,004,030 1,004,031 1,004,032 1,004,033 1,004,034 1,004,035 1,004,036 1,004,037 1,004,038 1,004,039

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 7,204,001
Square (n²): 1,008,070,216,729
Cube (n³): 1,012,129,715,491,767,683
Divisor count: 2
σ(n) — sum of divisors: 1,004,028
φ(n) — Euler's totient: 1,004,026

Primality

1,004,027 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004027

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,027)

1 × 1004027

First multiples

1,004,027 · 2,008,054 (double) · 3,012,081 · 4,016,108 · 5,020,135 · 6,024,162 · 7,028,189 · 8,032,216 · 9,036,243 · 10,040,270

Sums & aliquot sequence

As consecutive integers: 502,013 + 502,014

Continued fraction of √n

√1,004,027 = [1002; (87, 7, 1, 1, 1, 3, 7, 2, 1, 8, 14, 3, 3, 4, 6, 6, 1, 2, 8, 1, 1, 13, 1, 1, …)]

Representations

In words: one million four thousand twenty-seven
Ordinal: 1004027th
Binary: 11110101000111111011
Octal: 3650773
Hexadecimal: 0xF51FB
Base64: D1H7
One's complement: 4,293,963,268 (32-bit)
Scientific notation: 1.004027 × 10⁶
As a duration: 1,004,027 s = 11 days, 14 hours, 53 minutes, 47 seconds

In other bases

ternary (3) 1220000021012

quaternary (4) 3311013323

quinary (5) 224112102

senary (6) 33304135

septenary (7) 11351123

nonary (9) 1800235

undecimal (11) 626382

duodecimal (12) 40504b

tridecimal (13) 291ccb

tetradecimal (14) 1c1c83

pentadecimal (15) 14c752

As an angle

1,004,027° = 2,788 × 360° + 347°

347° ≈ 6.056 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零二十七
Chinese (financial): 壹佰萬肆仟零貳拾柒

In other modern scripts

Eastern Arabic ١٠٠٤٠٢٧ Devanagari १००४०२७ Bengali ১০০৪০২৭ Tamil ௧௦௦௪௦௨௭ Thai ๑๐๐๔๐๒๗ Tibetan ༡༠༠༤༠༢༧ Khmer ១០០៤០២៧ Lao ໑໐໐໔໐໒໗ Burmese ၁၀၀၄၀၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,963 (gap of 64)
Next prime: 1,004,033 (gap of 6)

Pair status: sexy with 1004033.

Hex color

#0F51FB

RGB(15, 81, 251)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.251.

Address: 0.15.81.251
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.251

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 1,004,027 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 US1,004,027 on Google Patents ↗ Look up on USPTO ↗