Live analysis

1,012,009

1,012,009 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.).

1,012,009 (one million twelve thousand nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7129.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,011,997 1,011,998 1,011,999 1,012,000 1,012,001 1,012,002 1,012,003 1,012,004 1,012,005 1,012,006 1,012,007 1,012,008 1,012,009 1,012,010 1,012,011 1,012,012 1,012,013 1,012,014 1,012,015 1,012,016 1,012,017 1,012,018 1,012,019 1,012,020 1,012,021

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 9,002,101
Square (n²): 1,024,162,216,081
Cube (n³): 1,036,461,380,133,916,729
Divisor count: 2
σ(n) — sum of divisors: 1,012,010
φ(n) — Euler's totient: 1,012,008

Primality

1,012,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1012009

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,012,009)

1 × 1012009

First multiples

1,012,009 · 2,024,018 (double) · 3,036,027 · 4,048,036 · 5,060,045 · 6,072,054 · 7,084,063 · 8,096,072 · 9,108,081 · 10,120,090

Sums & aliquot sequence

As a sum of two squares: 645² + 772²

As consecutive integers: 506,004 + 506,005

Continued fraction of √n

√1,012,009 = [1005; (1, 73, 1, 1, 13, 2, 1, 2, 5, 2, 5, 2, 3, 1, 6, 1, 1, 1, 1, 1, 3, 1, 1, 3, …)]

Representations

In words: one million twelve thousand nine
Ordinal: 1012009th
Binary: 11110111000100101001
Octal: 3670451
Hexadecimal: 0xF7129
Base64: D3Ep
One's complement: 4,293,955,286 (32-bit)
Scientific notation: 1.012009 × 10⁶
As a duration: 1,012,009 s = 11 days, 17 hours, 6 minutes, 49 seconds

In other bases

ternary (3) 1220102012211

quaternary (4) 3313010221

quinary (5) 224341014

senary (6) 33405121

septenary (7) 11413315

nonary (9) 1812184

undecimal (11) 631379

duodecimal (12) 4097a1

tridecimal (13) 29582b

tetradecimal (14) 1c4b45

pentadecimal (15) 14ecc4

As an angle

1,012,009° = 2,811 × 360° + 49°

49° ≈ 0.855 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千零九
Chinese (financial): 壹佰零壹萬貳仟零玖

In other modern scripts

Eastern Arabic ١٠١٢٠٠٩ Devanagari १०१२००९ Bengali ১০১২০০৯ Tamil ௧௦௧௨௦௦௯ Thai ๑๐๑๒๐๐๙ Tibetan ༡༠༡༢༠༠༩ Khmer ១០១២០០៩ Lao ໑໐໑໒໐໐໙ Burmese ၁၀၁၂၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,012,007 (gap of 2)
Next prime: 1,012,031 (gap of 22)

Pair status: twin with 1012007.

Hex color

#0F7129

RGB(15, 113, 41)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.41.

Address: 0.15.113.41
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.41

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 2009 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2009-10-01 (MMDYYYY (US, single-digit day))
2009-01-10 (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 1,012,009 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 US1,012,009 on Google Patents ↗ Look up on USPTO ↗