Live analysis

1,016,009

1,016,009 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.).

1,016,009 (one million sixteen thousand nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF80C9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 9,006,101
Flips to (rotate 180°): 6,009,101
Recamán's sequence: a(365,973) = 1,016,009
Square (n²): 1,032,274,288,081
Cube (n³): 1,048,799,967,158,888,729
Divisor count: 2
σ(n) — sum of divisors: 1,016,010
φ(n) — Euler's totient: 1,016,008

Primality

1,016,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1016009

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,016,009)

1 × 1016009

First multiples

1,016,009 · 2,032,018 (double) · 3,048,027 · 4,064,036 · 5,080,045 · 6,096,054 · 7,112,063 · 8,128,072 · 9,144,081 · 10,160,090

Sums & aliquot sequence

As a sum of two squares: 100² + 1,003²

As consecutive integers: 508,004 + 508,005

Continued fraction of √n

√1,016,009 = [1007; (1, 35, 1, 1, 1, 8, 7, 6, 6, 3, 1, 1, 2, 33, 1, 3, 1, 1, 8, 7, 2, 25, 1, 2, …)]

Representations

In words: one million sixteen thousand nine
Ordinal: 1016009th
Binary: 11111000000011001001
Octal: 3700311
Hexadecimal: 0xF80C9
Base64: D4DJ
One's complement: 4,293,951,286 (32-bit)
Scientific notation: 1.016009 × 10⁶
As a duration: 1,016,009 s = 11 days, 18 hours, 13 minutes, 29 seconds

In other bases

ternary (3) 1220121200222

quaternary (4) 3320003021

quinary (5) 230003014

senary (6) 33435425

septenary (7) 11431061

nonary (9) 1817628

undecimal (11) 634385

duodecimal (12) 40bb75

tridecimal (13) 2975b7

tetradecimal (14) 1c63a1

pentadecimal (15) 15108e

As an angle

1,016,009° = 2,822 × 360° + 89°

89° ≈ 1.553 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千零九
Chinese (financial): 壹佰零壹萬陸仟零玖

In other modern scripts

Eastern Arabic ١٠١٦٠٠٩ Devanagari १०१६००९ Bengali ১০১৬০০৯ Tamil ௧௦௧௬௦௦௯ Thai ๑๐๑๖๐๐๙ Tibetan ༡༠༡༦༠༠༩ Khmer ១០១៦០០៩ Lao ໑໐໑໖໐໐໙ Burmese ၁၀၁၆၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,015,991 (gap of 18)
Next prime: 1,016,011 (gap of 2)

Pair status: twin with 1016011.

Hex color

#0F80C9

RGB(15, 128, 201)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.201.

Address: 0.15.128.201
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.201

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 6009 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6009-10-01 (MMDYYYY (US, single-digit day))
6009-01-10 (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 1,016,009 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 US1,016,009 on Google Patents ↗ Look up on USPTO ↗