Live analysis

1,001,089

1,001,089 is a prime, odd.

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1,001,089 (one million one thousand eighty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4681.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Flippable Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,001,077 1,001,078 1,001,079 1,001,080 1,001,081 1,001,082 1,001,083 1,001,084 1,001,085 1,001,086 1,001,087 1,001,088 1,001,089 1,001,090 1,001,091 1,001,092 1,001,093 1,001,094 1,001,095 1,001,096 1,001,097 1,001,098 1,001,099 1,001,100 1,001,101

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 9,801,001
Flips to (rotate 180°): 6,801,001
Square (n²): 1,002,179,185,921
Cube (n³): 1,003,270,559,054,467,969
Divisor count: 2
σ(n) — sum of divisors: 1,001,090
φ(n) — Euler's totient: 1,001,088

Primality

1,001,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1001089

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,001,089)

1 × 1001089

First multiples

1,001,089 · 2,002,178 (double) · 3,003,267 · 4,004,356 · 5,005,445 · 6,006,534 · 7,007,623 · 8,008,712 · 9,009,801 · 10,010,890

Sums & aliquot sequence

As a sum of two squares: 33² + 1,000²

As consecutive integers: 500,544 + 500,545

Continued fraction of √n

√1,001,089 = [1000; (1, 1, 5, 7, 3, 5, 9, 1, 1, 2, 1, 9, 1, 2, 2, 2, 44, 17, 1, 2, 5, 2, 1, 8, …)]

Representations

In words: one million one thousand eighty-nine
Ordinal: 1001089th
Binary: 11110100011010000001
Octal: 3643201
Hexadecimal: 0xF4681
Base64: D0aB
One's complement: 4,293,966,206 (32-bit)
Scientific notation: 1.001089 × 10⁶
As a duration: 1,001,089 s = 11 days, 14 hours, 4 minutes, 49 seconds

In other bases

ternary (3) 1212212020101

quaternary (4) 3310122001

quinary (5) 224013324

senary (6) 33242401

septenary (7) 11336425

nonary (9) 1785211

undecimal (11) 624151

duodecimal (12) 403401

tridecimal (13) 29087b

tetradecimal (14) 1c0b85

pentadecimal (15) 14b944

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零八十九
Chinese (financial): 壹佰萬壹仟零捌拾玖

In other modern scripts

Eastern Arabic ١٠٠١٠٨٩ Devanagari १००१०८९ Bengali ১০০১০৮৯ Tamil ௧௦௦௧௦௮௯ Thai ๑๐๐๑๐๘๙ Tibetan ༡༠༠༡༠༨༩ Khmer ១០០១០៨៩ Lao ໑໐໐໑໐໘໙ Burmese ၁၀၀၁၀၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,001,087 (gap of 2)
Next prime: 1,001,093 (gap of 4)

Pair status: twin with 1001087, cousin with 1001093.

Hex color

#0F4681

RGB(15, 70, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.129.

Address: 0.15.70.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.129

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 1,001,089 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 US1,001,089 on Google Patents ↗ Look up on USPTO ↗