Live analysis

1,005,013

1,005,013 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.).

1,005,013 (one million five thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF55D5.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 3,105,001
Square (n²): 1,010,051,130,169
Cube (n³): 1,015,114,516,484,537,197
Divisor count: 2
σ(n) — sum of divisors: 1,005,014
φ(n) — Euler's totient: 1,005,012

Primality

1,005,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,013)

1 × 1005013

First multiples

1,005,013 · 2,010,026 (double) · 3,015,039 · 4,020,052 · 5,025,065 · 6,030,078 · 7,035,091 · 8,040,104 · 9,045,117 · 10,050,130

Sums & aliquot sequence

As a sum of two squares: 343² + 942²

As consecutive integers: 502,506 + 502,507

Continued fraction of √n

√1,005,013 = [1002; (1, 1, 73, 1, 3, 6, 2, 2, 3, 2, 11, 1, 3, 1, 3, 15, 23, 1, 4, 10, 1, 7, 21, 1, …)]

Representations

In words: one million five thousand thirteen
Ordinal: 1005013th
Binary: 11110101010111010101
Octal: 3652725
Hexadecimal: 0xF55D5
Base64: D1XV
One's complement: 4,293,962,282 (32-bit)
Scientific notation: 1.005013 × 10⁶
As a duration: 1,005,013 s = 11 days, 15 hours, 10 minutes, 13 seconds

In other bases

ternary (3) 1220001121201

quaternary (4) 3311113111

quinary (5) 224130023

senary (6) 33312501

septenary (7) 11354032

nonary (9) 1801551

undecimal (11) 627099

duodecimal (12) 405731

tridecimal (13) 2925a9

tetradecimal (14) 1c2389

pentadecimal (15) 14cbad

As an angle

1,005,013° = 2,791 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese: 一百萬五千零一十三
Chinese (financial): 壹佰萬伍仟零壹拾參

In other modern scripts

Eastern Arabic ١٠٠٥٠١٣ Devanagari १००५०१३ Bengali ১০০৫০১৩ Tamil ௧௦௦௫௦௧௩ Thai ๑๐๐๕๐๑๓ Tibetan ༡༠༠༥༠༡༣ Khmer ១០០៥០១៣ Lao ໑໐໐໕໐໑໓ Burmese ၁၀၀၅၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,007 (gap of 6)
Next prime: 1,005,019 (gap of 6)

Pair status: sexy with 1005007, sexy with 1005019.

Hex color

#0F55D5

RGB(15, 85, 213)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.213.

Address: 0.15.85.213
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.213

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 1,005,013 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 US1,005,013 on Google Patents ↗ Look up on USPTO ↗