Live analysis

1,008,013

1,008,013 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.).

1,008,013 (one million eight thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF618D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 3,108,001
Recamán's sequence: a(349,425) = 1,008,013
Square (n²): 1,016,090,208,169
Cube (n³): 1,024,232,139,007,058,197
Divisor count: 2
σ(n) — sum of divisors: 1,008,014
φ(n) — Euler's totient: 1,008,012

Primality

1,008,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1008013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,008,013)

1 × 1008013

First multiples

1,008,013 · 2,016,026 (double) · 3,024,039 · 4,032,052 · 5,040,065 · 6,048,078 · 7,056,091 · 8,064,104 · 9,072,117 · 10,080,130

Sums & aliquot sequence

As a sum of two squares: 227² + 978²

As consecutive integers: 504,006 + 504,007

Continued fraction of √n

√1,008,013 = [1003; (1, 668, 3, 222, 1, 3, 2, 73, 1, 12, 2, 24, 3, 4, 6, 8, 9, 1, 2, 1, 1, 2, 1, 2, …)]

Representations

In words: one million eight thousand thirteen
Ordinal: 1008013th
Binary: 11110110000110001101
Octal: 3660615
Hexadecimal: 0xF618D
Base64: D2GN
One's complement: 4,293,959,282 (32-bit)
Scientific notation: 1.008013 × 10⁶
As a duration: 1,008,013 s = 11 days, 16 hours, 13 seconds

In other bases

ternary (3) 1220012201211

quaternary (4) 3312012031

quinary (5) 224224023

senary (6) 33334421

septenary (7) 11365546

nonary (9) 1805654

undecimal (11) 629376

duodecimal (12) 407411

tridecimal (13) 293a76

tetradecimal (14) 1c34cd

pentadecimal (15) 14da0d

As an angle

1,008,013° = 2,800 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese: 一百萬八千零一十三
Chinese (financial): 壹佰萬捌仟零壹拾參

In other modern scripts

Eastern Arabic ١٠٠٨٠١٣ Devanagari १००८०१३ Bengali ১০০৮০১৩ Tamil ௧௦௦௮௦௧௩ Thai ๑๐๐๘๐๑๓ Tibetan ༡༠༠༨༠༡༣ Khmer ១០០៨០១៣ Lao ໑໐໐໘໐໑໓ Burmese ၁၀၀၈၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,008,001 (gap of 12)
Next prime: 1,008,017 (gap of 4)

Pair status: cousin with 1008017.

Hex color

#0F618D

RGB(15, 97, 141)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.141.

Address: 0.15.97.141
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.141

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 1,008,013 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 US1,008,013 on Google Patents ↗ Look up on USPTO ↗