Live analysis

1,050,013

1,050,013 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.).

1,050,013 (one million fifty thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10059D.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,050,001 1,050,002 1,050,003 1,050,004 1,050,005 1,050,006 1,050,007 1,050,008 1,050,009 1,050,010 1,050,011 1,050,012 1,050,013 1,050,014 1,050,015 1,050,016 1,050,017 1,050,018 1,050,019 1,050,020 1,050,021 1,050,022 1,050,023 1,050,024 1,050,025

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 21 bits
Reversed: 3,100,501
Square (n²): 1,102,527,300,169
Cube (n³): 1,157,667,998,032,352,197
Divisor count: 2
σ(n) — sum of divisors: 1,050,014
φ(n) — Euler's totient: 1,050,012

Primality

1,050,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1050013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,050,013)

1 × 1050013

First multiples

1,050,013 · 2,100,026 (double) · 3,150,039 · 4,200,052 · 5,250,065 · 6,300,078 · 7,350,091 · 8,400,104 · 9,450,117 · 10,500,130

Sums & aliquot sequence

As a sum of two squares: 117² + 1,018²

As consecutive integers: 525,006 + 525,007

Continued fraction of √n

√1,050,013 = [1024; (1, 2, 2, 1, 6, 2, 1, 11, 3, 3, 3, 1, 23, 1, 12, 5, 1, 1, 1, 2, 2, 27, 1, 1, …)]

Representations

In words: one million fifty thousand thirteen
Ordinal: 1050013th
Binary: 100000000010110011101
Octal: 4002635
Hexadecimal: 0x10059D
Base64: EAWd
One's complement: 4,293,917,282 (32-bit)
Scientific notation: 1.050013 × 10⁶
As a duration: 1,050,013 s = 12 days, 3 hours, 40 minutes, 13 seconds

In other bases

ternary (3) 1222100100101

quaternary (4) 10000112131

quinary (5) 232100023

senary (6) 34301101

septenary (7) 11632156

nonary (9) 1870311

undecimal (11) 657988

duodecimal (12) 427791

tridecimal (13) 2a9c13

tetradecimal (14) 1d492d

pentadecimal (15) 15b1ad

As an angle

1,050,013° = 2,916 × 360° + 253°

253° ≈ 4.416 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Chinese: 一百零五萬零一十三
Chinese (financial): 壹佰零伍萬零壹拾參

In other modern scripts

Eastern Arabic ١٠٥٠٠١٣ Devanagari १०५००१३ Bengali ১০৫০০১৩ Tamil ௧௦௫௦௦௧௩ Thai ๑๐๕๐๐๑๓ Tibetan ༡༠༥༠༠༡༣ Khmer ១០៥០០១៣ Lao ໑໐໕໐໐໑໓ Burmese ၁၀၅၀၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,050,011 (gap of 2)
Next prime: 1,050,031 (gap of 18)

Pair status: twin with 1050011.

Hex color

#10059D

RGB(16, 5, 157)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.157.

Address: 0.16.5.157
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.5.157

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 0013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0013-05-01 (DMMYYYY (Euro, single-digit day))
0013-10-05 (MMDYYYY (US, single-digit day))
0013-05-10 (DDMYYYY (Euro, single-digit month))

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 1,050,013 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,050,013 on Google Patents ↗ Look up on USPTO ↗