Live analysis

1,051,007

1,051,007 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.).

1,051,007 (one million fifty-one thousand seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10097F.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,050,995 1,050,996 1,050,997 1,050,998 1,050,999 1,051,000 1,051,001 1,051,002 1,051,003 1,051,004 1,051,005 1,051,006 1,051,007 1,051,008 1,051,009 1,051,010 1,051,011 1,051,012 1,051,013 1,051,014 1,051,015 1,051,016 1,051,017 1,051,018 1,051,019

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 7,001,501
Square (n²): 1,104,615,714,049
Cube (n³): 1,160,958,847,775,497,343
Divisor count: 2
σ(n) — sum of divisors: 1,051,008
φ(n) — Euler's totient: 1,051,006

Primality

1,051,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1051007

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,051,007)

1 × 1051007

First multiples

1,051,007 · 2,102,014 (double) · 3,153,021 · 4,204,028 · 5,255,035 · 6,306,042 · 7,357,049 · 8,408,056 · 9,459,063 · 10,510,070

Sums & aliquot sequence

As consecutive integers: 525,503 + 525,504

Continued fraction of √n

√1,051,007 = [1025; (5, 2, 1, 2, 1, 1, 1, 2, 1, 10, 1, 1, 1, 1, 11, 1, 2, 1, 32, 3, 14, 120, 1, 1, …)]

Representations

In words: one million fifty-one thousand seven
Ordinal: 1051007th
Binary: 100000000100101111111
Octal: 4004577
Hexadecimal: 0x10097F
Base64: EAl/
One's complement: 4,293,916,288 (32-bit)
Scientific notation: 1.051007 × 10⁶
As a duration: 1,051,007 s = 12 days, 3 hours, 56 minutes, 47 seconds

In other bases

ternary (3) 1222101201012

quaternary (4) 10000211333

quinary (5) 232113012

senary (6) 34305435

septenary (7) 11635106

nonary (9) 1871635

undecimal (11) 658701

duodecimal (12) 42827b

tridecimal (13) 2aa4c9

tetradecimal (14) 1d503d

pentadecimal (15) 15b622

As an angle

1,051,007° = 2,919 × 360° + 167°

167° ≈ 2.915 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬一千零七
Chinese (financial): 壹佰零伍萬壹仟零柒

In other modern scripts

Eastern Arabic ١٠٥١٠٠٧ Devanagari १०५१००७ Bengali ১০৫১০০৭ Tamil ௧௦௫௧௦௦௭ Thai ๑๐๕๑๐๐๗ Tibetan ༡༠༥༡༠༠༧ Khmer ១០៥១០០៧ Lao ໑໐໕໑໐໐໗ Burmese ၁၀၅၁၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,051,003 (gap of 4)
Next prime: 1,051,009 (gap of 2)

Pair status: twin with 1051009, cousin with 1051003.

Hex color

#10097F

RGB(16, 9, 127)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.127.

Address: 0.16.9.127
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.9.127

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 1007 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1007-05-01 (DMMYYYY (Euro, single-digit day))
1007-10-05 (MMDYYYY (US, single-digit day))
1007-05-10 (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 1,051,007 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,051,007 on Google Patents ↗ Look up on USPTO ↗