Live analysis

1,004,053

1,004,053 is a prime, odd.

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1,004,053 (one million four thousand fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5215.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,004,041 1,004,042 1,004,043 1,004,044 1,004,045 1,004,046 1,004,047 1,004,048 1,004,049 1,004,050 1,004,051 1,004,052 1,004,053 1,004,054 1,004,055 1,004,056 1,004,057 1,004,058 1,004,059 1,004,060 1,004,061 1,004,062 1,004,063 1,004,064 1,004,065

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 3,504,001
Square (n²): 1,008,122,426,809
Cube (n³): 1,012,208,347,004,856,877
Divisor count: 2
σ(n) — sum of divisors: 1,004,054
φ(n) — Euler's totient: 1,004,052

Primality

1,004,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004053

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,053)

1 × 1004053

First multiples

1,004,053 · 2,008,106 (double) · 3,012,159 · 4,016,212 · 5,020,265 · 6,024,318 · 7,028,371 · 8,032,424 · 9,036,477 · 10,040,530

Sums & aliquot sequence

As a sum of two squares: 7² + 1,002²

As consecutive integers: 502,026 + 502,027

Continued fraction of √n

√1,004,053 = [1002; (40, 1, 8, 1, 5, 1, 1, 2, 2, 2, 2, 1, 4, 1, 2, 7, 1, 8, 2, 1, 4, 2, 8, 1, …)]

Representations

In words: one million four thousand fifty-three
Ordinal: 1004053rd
Binary: 11110101001000010101
Octal: 3651025
Hexadecimal: 0xF5215
Base64: D1IV
One's complement: 4,293,963,242 (32-bit)
Scientific notation: 1.004053 × 10⁶
As a duration: 1,004,053 s = 11 days, 14 hours, 54 minutes, 13 seconds

In other bases

ternary (3) 1220000022011

quaternary (4) 3311020111

quinary (5) 224112203

senary (6) 33304221

septenary (7) 11351161

nonary (9) 1800264

undecimal (11) 6263a6

duodecimal (12) 405071

tridecimal (13) 29201b

tetradecimal (14) 1c1ca1

pentadecimal (15) 14c76d

As an angle

1,004,053° = 2,789 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百萬四千零五十三
Chinese (financial): 壹佰萬肆仟零伍拾參

In other modern scripts

Eastern Arabic ١٠٠٤٠٥٣ Devanagari १००४०५३ Bengali ১০০৪০৫৩ Tamil ௧௦௦௪௦௫௩ Thai ๑๐๐๔๐๕๓ Tibetan ༡༠༠༤༠༥༣ Khmer ១០០៤០៥៣ Lao ໑໐໐໔໐໕໓ Burmese ၁၀၀၄၀၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,033 (gap of 20)
Next prime: 1,004,057 (gap of 4)

Pair status: cousin with 1004057.

Hex color

#0F5215

RGB(15, 82, 21)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.21.

Address: 0.15.82.21
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.21

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 1,004,053 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 US1,004,053 on Google Patents ↗ Look up on USPTO ↗