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1,001,027

1,001,027 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.).

1,001,027 (one million one thousand twenty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4643.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
7,201,001
Square (n²)
1,002,055,054,729
Cube (n³)
1,003,084,165,270,206,683
Divisor count
2
σ(n) — sum of divisors
1,001,028
φ(n) — Euler's totient
1,001,026

Primality

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

Divisors & multiples

All divisors (2)
1 · 1001027
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,027)
1 × 1001027
First multiples
1,001,027 · 2,002,054 (double) · 3,003,081 · 4,004,108 · 5,005,135 · 6,006,162 · 7,007,189 · 8,008,216 · 9,009,243 · 10,010,270

Sums & aliquot sequence

As consecutive integers: 500,513 + 500,514

Continued fraction of √n

√1,001,027 = [1000; (1, 1, 18, 4, 1, 36, 1, 20, 3, 5, 2, 2, 6, 1, 8, 1, 1, 1, 1, 1, 1, 1, 3, 1, …)]

Representations

In words
one million one thousand twenty-seven
Ordinal
1001027th
Binary
11110100011001000011
Octal
3643103
Hexadecimal
0xF4643
Base64
D0ZD
One's complement
4,293,966,268 (32-bit)
Scientific notation
1.001027 × 10⁶
As a duration
1,001,027 s = 11 days, 14 hours, 3 minutes, 47 seconds
In other bases
ternary (3) 1212212011002
quaternary (4) 3310121003
quinary (5) 224013102
senary (6) 33242215
septenary (7) 11336306
nonary (9) 1785132
undecimal (11) 6240a5
duodecimal (12) 40336b
tridecimal (13) 290831
tetradecimal (14) 1c0b3d
pentadecimal (15) 14b902

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬一千零二十七
Chinese (financial)
壹佰萬壹仟零貳拾柒
In other modern scripts
Eastern Arabic ١٠٠١٠٢٧ Devanagari १००१०२७ Bengali ১০০১০২৭ Tamil ௧௦௦௧௦௨௭ Thai ๑๐๐๑๐๒๗ Tibetan ༡༠༠༡༠༢༧ Khmer ១០០១០២៧ Lao ໑໐໐໑໐໒໗ Burmese ၁၀၀၁၀၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1001023.

Hex color
#0F4643
RGB(15, 70, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.67.

Address
0.15.70.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.67

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 1,001,027 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.