Live analysis

1,008,101

1,008,101 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.).

1,008,101 (one million eight thousand one hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF61E5.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,008,089 1,008,090 1,008,091 1,008,092 1,008,093 1,008,094 1,008,095 1,008,096 1,008,097 1,008,098 1,008,099 1,008,100 1,008,101 1,008,102 1,008,103 1,008,104 1,008,105 1,008,106 1,008,107 1,008,108 1,008,109 1,008,110 1,008,111 1,008,112 1,008,113

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,018,001
Flips to (rotate 180°): 1,018,001
Recamán's sequence: a(349,249) = 1,008,101
Square (n²): 1,016,267,626,201
Cube (n³): 1,024,500,410,240,854,301
Divisor count: 2
σ(n) — sum of divisors: 1,008,102
φ(n) — Euler's totient: 1,008,100

Primality

1,008,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1008101

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,008,101)

1 × 1008101

First multiples

1,008,101 · 2,016,202 (double) · 3,024,303 · 4,032,404 · 5,040,505 · 6,048,606 · 7,056,707 · 8,064,808 · 9,072,909 · 10,081,010

Sums & aliquot sequence

As a sum of two squares: 626² + 785²

As consecutive integers: 504,050 + 504,051

Continued fraction of √n

√1,008,101 = [1004; (23, 1, 1, 1, 1, 1, 15, 2, 3, 1, 2, 4, 2, 1, 2, 1, 6, 2, 1, 12, 1, 1, 1, 1, …)]

Representations

In words: one million eight thousand one hundred one
Ordinal: 1008101st
Binary: 11110110000111100101
Octal: 3660745
Hexadecimal: 0xF61E5
Base64: D2Hl
One's complement: 4,293,959,194 (32-bit)
Scientific notation: 1.008101 × 10⁶
As a duration: 1,008,101 s = 11 days, 16 hours, 1 minute, 41 seconds

In other bases

ternary (3) 1220012212002

quaternary (4) 3312013211

quinary (5) 224224401

senary (6) 33335045

septenary (7) 11366033

nonary (9) 1805762

undecimal (11) 629446

duodecimal (12) 407485

tridecimal (13) 293b13

tetradecimal (14) 1c3553

pentadecimal (15) 14da6b

As an angle

1,008,101° = 2,800 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Chinese: 一百萬八千一百零一
Chinese (financial): 壹佰萬捌仟壹佰零壹

In other modern scripts

Eastern Arabic ١٠٠٨١٠١ Devanagari १००८१०१ Bengali ১০০৮১০১ Tamil ௧௦௦௮௧௦௧ Thai ๑๐๐๘๑๐๑ Tibetan ༡༠༠༨༡༠༡ Khmer ១០០៨១០១ Lao ໑໐໐໘໑໐໑ Burmese ၁၀၀၈၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,008,043 (gap of 58)
Next prime: 1,008,131 (gap of 30)

Hex color

#0F61E5

RGB(15, 97, 229)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.229.

Address: 0.15.97.229
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.229

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 1,008,101 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 US1,008,101 on Google Patents ↗ Look up on USPTO ↗