Live analysis

1,001,107

1,001,107 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.).

1,001,107 (one million one thousand one hundred seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4693.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,095 1,001,096 1,001,097 1,001,098 1,001,099 1,001,100 1,001,101 1,001,102 1,001,103 1,001,104 1,001,105 1,001,106 1,001,107 1,001,108 1,001,109 1,001,110 1,001,111 1,001,112 1,001,113 1,001,114 1,001,115 1,001,116 1,001,117 1,001,118 1,001,119

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 7,011,001
Square (n²): 1,002,215,225,449
Cube (n³): 1,003,324,677,703,572,043
Divisor count: 2
σ(n) — sum of divisors: 1,001,108
φ(n) — Euler's totient: 1,001,106

Primality

1,001,107 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1001107

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,001,107)

1 × 1001107

First multiples

1,001,107 · 2,002,214 (double) · 3,003,321 · 4,004,428 · 5,005,535 · 6,006,642 · 7,007,749 · 8,008,856 · 9,009,963 · 10,011,070

Sums & aliquot sequence

As consecutive integers: 500,553 + 500,554

Continued fraction of √n

√1,001,107 = [1000; (1, 1, 4, 5, 2, 1, 2, 1, 1, 2, 3, 14, 1, 1, 1, 3, 3, 1, 2, 15, 1, 1, 11, 1, …)]

Representations

In words: one million one thousand one hundred seven
Ordinal: 1001107th
Binary: 11110100011010010011
Octal: 3643223
Hexadecimal: 0xF4693
Base64: D0aT
One's complement: 4,293,966,188 (32-bit)
Scientific notation: 1.001107 × 10⁶
As a duration: 1,001,107 s = 11 days, 14 hours, 5 minutes, 7 seconds

In other bases

ternary (3) 1212212021001

quaternary (4) 3310122103

quinary (5) 224013412

senary (6) 33242431

septenary (7) 11336452

nonary (9) 1785231

undecimal (11) 624168

duodecimal (12) 403417

tridecimal (13) 290893

tetradecimal (14) 1c0b99

pentadecimal (15) 14b957

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百零七
Chinese (financial): 壹佰萬壹仟壹佰零柒

In other modern scripts

Eastern Arabic ١٠٠١١٠٧ Devanagari १००११०७ Bengali ১০০১১০৭ Tamil ௧௦௦௧௧௦௭ Thai ๑๐๐๑๑๐๗ Tibetan ༡༠༠༡༡༠༧ Khmer ១០០១១០៧ Lao ໑໐໐໑໑໐໗ Burmese ၁၀၀၁၁၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,001,093 (gap of 14)
Next prime: 1,001,123 (gap of 16)

Hex color

#0F4693

RGB(15, 70, 147)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.147.

Address: 0.15.70.147
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.147

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 1,001,107 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 US1,001,107 on Google Patents ↗ Look up on USPTO ↗