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1,027,001

1,027,001 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.).

1,027,001 (one million twenty-seven thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFABB9.

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
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,007,201
Square (n²)
1,054,731,054,001
Cube (n³)
1,083,209,847,190,081,001
Divisor count
2
σ(n) — sum of divisors
1,027,002
φ(n) — Euler's totient
1,027,000

Primality

1,027,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1027001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,027,001)
1 × 1027001
First multiples
1,027,001 · 2,054,002 (double) · 3,081,003 · 4,108,004 · 5,135,005 · 6,162,006 · 7,189,007 · 8,216,008 · 9,243,009 · 10,270,010

Sums & aliquot sequence

As a sum of two squares: 676² + 755²
As consecutive integers: 513,500 + 513,501

Continued fraction of √n

√1,027,001 = [1013; (2, 2, 3, 2, 1, 1, 1, 1, 1, 4, 1, 9, 3, 4, 1, 7, 1, 12, 5, 3, 1, 2, 2, 1, …)]

Representations

In words
one million twenty-seven thousand one
Ordinal
1027001st
Binary
11111010101110111001
Octal
3725671
Hexadecimal
0xFABB9
Base64
D6u5
One's complement
4,293,940,294 (32-bit)
Scientific notation
1.027001 × 10⁶
As a duration
1,027,001 s = 11 days, 21 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 1221011210002
quaternary (4) 3322232321
quinary (5) 230331001
senary (6) 34002345
septenary (7) 11505113
nonary (9) 1834702
undecimal (11) 641668
duodecimal (12) 4163b5
tridecimal (13) 29c5c1
tetradecimal (14) 1ca3b3
pentadecimal (15) 15446b

As an angle

1,027,001° = 2,852 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Chinese
一百零二萬七千零一
Chinese (financial)
壹佰零貳萬柒仟零壹
In other modern scripts
Eastern Arabic ١٠٢٧٠٠١ Devanagari १०२७००१ Bengali ১০২৭০০১ Tamil ௧௦௨௭௦௦௧ Thai ๑๐๒๗๐๐๑ Tibetan ༡༠༢༧༠༠༡ Khmer ១០២៧០០១ Lao ໑໐໒໗໐໐໑ Burmese ၁၀၂၇၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1027003.

Hex color
#0FABB9
RGB(15, 171, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.171.185.

Address
0.15.171.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.171.185

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 7001 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7001-02-01 (DMMYYYY (Euro, single-digit day))
  • 7001-10-02 (MMDYYYY (US, single-digit day))
  • 7001-02-10 (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 1,027,001 and was likely granted around 1912.

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.