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1,018,021

1,018,021 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.).

1,018,021 (one million eighteen thousand twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF88A5.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,208,101
Square (n²)
1,036,366,756,441
Cube (n³)
1,055,043,121,758,823,261
Divisor count
2
σ(n) — sum of divisors
1,018,022
φ(n) — Euler's totient
1,018,020

Primality

1,018,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1018021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,018,021)
1 × 1018021
First multiples
1,018,021 · 2,036,042 (double) · 3,054,063 · 4,072,084 · 5,090,105 · 6,108,126 · 7,126,147 · 8,144,168 · 9,162,189 · 10,180,210

Sums & aliquot sequence

As a sum of two squares: 511² + 870²
As consecutive integers: 509,010 + 509,011

Continued fraction of √n

√1,018,021 = [1008; (1, 32, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 11, 57, 1, 1, 3, 23, 1, 2, …)]

Representations

In words
one million eighteen thousand twenty-one
Ordinal
1018021st
Binary
11111000100010100101
Octal
3704245
Hexadecimal
0xF88A5
Base64
D4il
One's complement
4,293,949,274 (32-bit)
Scientific notation
1.018021 × 10⁶
As a duration
1,018,021 s = 11 days, 18 hours, 47 minutes, 1 second
In other bases
ternary (3) 1220201110111
quaternary (4) 3320202211
quinary (5) 230034041
senary (6) 33453021
septenary (7) 11436664
nonary (9) 1821414
undecimal (11) 635944
duodecimal (12) 411171
tridecimal (13) 2984a4
tetradecimal (14) 1c6ddb
pentadecimal (15) 151981

As an angle

1,018,021° = 2,827 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Chinese
一百零一萬八千零二十一
Chinese (financial)
壹佰零壹萬捌仟零貳拾壹
In other modern scripts
Eastern Arabic ١٠١٨٠٢١ Devanagari १०१८०२१ Bengali ১০১৮০২১ Tamil ௧௦௧௮௦௨௧ Thai ๑๐๑๘๐๒๑ Tibetan ༡༠༡༨༠༢༡ Khmer ១០១៨០២១ Lao ໑໐໑໘໐໒໑ Burmese ၁၀၁၈၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1018019.

Hex color
#0F88A5
RGB(15, 136, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.165.

Address
0.15.136.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.136.165

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 8021 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8021-10-01 (MMDYYYY (US, single-digit day))
  • 8021-01-10 (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 1,018,021 and was likely granted around 1911.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.