Live analysis

1,020,007

1,020,007 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.).

1,020,007 (one million twenty thousand seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9067.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,019,995 1,019,996 1,019,997 1,019,998 1,019,999 1,020,000 1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 1,020,008 1,020,009 1,020,010 1,020,011 1,020,012 1,020,013 1,020,014 1,020,015 1,020,016 1,020,017 1,020,018 1,020,019

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 7,000,201
Square (n²): 1,040,414,280,049
Cube (n³): 1,061,229,848,549,940,343
Divisor count: 2
σ(n) — sum of divisors: 1,020,008
φ(n) — Euler's totient: 1,020,006

Primality

1,020,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1020007

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,020,007)

1 × 1020007

First multiples

1,020,007 · 2,040,014 (double) · 3,060,021 · 4,080,028 · 5,100,035 · 6,120,042 · 7,140,049 · 8,160,056 · 9,180,063 · 10,200,070

Sums & aliquot sequence

As consecutive integers: 510,003 + 510,004

Continued fraction of √n

√1,020,007 = [1009; (1, 20, 1, 2, 1, 1, 3, 24, 2, 1, 4, 1, 21, 2, 1, 2, 7, 1, 15, 6, 1, 1, 1, 5, …)]

Representations

In words: one million twenty thousand seven
Ordinal: 1020007th
Binary: 11111001000001100111
Octal: 3710147
Hexadecimal: 0xF9067
Base64: D5Bn
One's complement: 4,293,947,288 (32-bit)
Scientific notation: 1.020007 × 10⁶
As a duration: 1,020,007 s = 11 days, 19 hours, 20 minutes, 7 seconds

In other bases

ternary (3) 1220211012001

quaternary (4) 3321001213

quinary (5) 230120012

senary (6) 33510131

septenary (7) 11445532

nonary (9) 1824161

undecimal (11) 63738a

duodecimal (12) 412347

tridecimal (13) 299371

tetradecimal (14) 1c7a19

pentadecimal (15) 152357

As an angle

1,020,007° = 2,833 × 360° + 127°

127° ≈ 2.217 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬零七
Chinese (financial): 壹佰零貳萬零柒

In other modern scripts

Eastern Arabic ١٠٢٠٠٠٧ Devanagari १०२०००७ Bengali ১০২০০০৭ Tamil ௧௦௨௦௦௦௭ Thai ๑๐๒๐๐๐๗ Tibetan ༡༠༢༠༠༠༧ Khmer ១០២០០០៧ Lao ໑໐໒໐໐໐໗ Burmese ၁၀၂၀၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,020,001 (gap of 6)
Next prime: 1,020,011 (gap of 4)

Pair status: cousin with 1020011, sexy with 1020001.

Hex color

#0F9067

RGB(15, 144, 103)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.103.

Address: 0.15.144.103
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.103

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 0007 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0007-02-01 (DMMYYYY (Euro, single-digit day))
0007-10-02 (MMDYYYY (US, single-digit day))
0007-02-10 (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 1,020,007 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 US1,020,007 on Google Patents ↗ Look up on USPTO ↗