Live analysis

1,049,101

1,049,101 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.).

1,049,101 (one million forty-nine 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, 0x10020D.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,049,089 1,049,090 1,049,091 1,049,092 1,049,093 1,049,094 1,049,095 1,049,096 1,049,097 1,049,098 1,049,099 1,049,100 1,049,101 1,049,102 1,049,103 1,049,104 1,049,105 1,049,106 1,049,107 1,049,108 1,049,109 1,049,110 1,049,111 1,049,112 1,049,113

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 21 bits
Reversed: 1,019,401
Square (n²): 1,100,612,908,201
Cube (n³): 1,154,654,102,606,577,301
Divisor count: 2
σ(n) — sum of divisors: 1,049,102
φ(n) — Euler's totient: 1,049,100

Primality

1,049,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1049101

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,049,101)

1 × 1049101

First multiples

1,049,101 · 2,098,202 (double) · 3,147,303 · 4,196,404 · 5,245,505 · 6,294,606 · 7,343,707 · 8,392,808 · 9,441,909 · 10,491,010

Sums & aliquot sequence

As a sum of two squares: 570² + 851²

As consecutive integers: 524,550 + 524,551

Continued fraction of √n

√1,049,101 = [1024; (3, 1, 9, 6, 1, 5, 3, 4, 1, 1, 1, 4, 2, 1, 1, 2, 1, 57, 1, 4, 5, 3, 1, 4, …)]

Representations

In words: one million forty-nine thousand one hundred one
Ordinal: 1049101st
Binary: 100000000001000001101
Octal: 4001015
Hexadecimal: 0x10020D
Base64: EAIN
One's complement: 4,293,918,194 (32-bit)
Scientific notation: 1.049101 × 10⁶
As a duration: 1,049,101 s = 12 days, 3 hours, 25 minutes, 1 second

In other bases

ternary (3) 1222022002121

quaternary (4) 10000020031

quinary (5) 232032401

senary (6) 34252541

septenary (7) 11626414

nonary (9) 1868077

undecimal (11) 657229

duodecimal (12) 427151

tridecimal (13) 2a9691

tetradecimal (14) 1d447b

pentadecimal (15) 15aca1

As an angle

1,049,101° = 2,914 × 360° + 61°

61° ≈ 1.065 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Chinese: 一百零四萬九千一百零一
Chinese (financial): 壹佰零肆萬玖仟壹佰零壹

In other modern scripts

Eastern Arabic ١٠٤٩١٠١ Devanagari १०४९१०१ Bengali ১০৪৯১০১ Tamil ௧௦௪௯௧௦௧ Thai ๑๐๔๙๑๐๑ Tibetan ༡༠༤༩༡༠༡ Khmer ១០៤៩១០១ Lao ໑໐໔໙໑໐໑ Burmese ၁၀၄၉၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,049,093 (gap of 8)
Next prime: 1,049,117 (gap of 16)

Hex color

#10020D

RGB(16, 2, 13)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.2.13.

Address: 0.16.2.13
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.2.13

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 9101 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9101-04-01 (DMMYYYY (Euro, single-digit day))
9101-10-04 (MMDYYYY (US, single-digit day))
9101-04-10 (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 1,049,101 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 US1,049,101 on Google Patents ↗ Look up on USPTO ↗