Live analysis

1,004,057

1,004,057 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.).

1,004,057 (one million four thousand fifty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5219.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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 1,004,066 1,004,067 1,004,068 1,004,069

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Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 7,504,001
Square (n²): 1,008,130,459,249
Cube (n³): 1,012,220,444,522,173,193
Divisor count: 2
σ(n) — sum of divisors: 1,004,058
φ(n) — Euler's totient: 1,004,056

Primality

1,004,057 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004057

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,057)

1 × 1004057

First multiples

1,004,057 · 2,008,114 (double) · 3,012,171 · 4,016,228 · 5,020,285 · 6,024,342 · 7,028,399 · 8,032,456 · 9,036,513 · 10,040,570

Sums & aliquot sequence

As a sum of two squares: 701² + 716²

As consecutive integers: 502,028 + 502,029

Continued fraction of √n

√1,004,057 = [1002; (37, 1, 4, 3, 5, 2, 3, 15, 2, 1, 2, 1, 1, 2, 8, 2, 3, 1, 2, 2, 8, 3, 19, 7, …)]

Representations

In words: one million four thousand fifty-seven
Ordinal: 1004057th
Binary: 11110101001000011001
Octal: 3651031
Hexadecimal: 0xF5219
Base64: D1IZ
One's complement: 4,293,963,238 (32-bit)
Scientific notation: 1.004057 × 10⁶
As a duration: 1,004,057 s = 11 days, 14 hours, 54 minutes, 17 seconds

In other bases

ternary (3) 1220000022022

quaternary (4) 3311020121

quinary (5) 224112212

senary (6) 33304225

septenary (7) 11351165

nonary (9) 1800268

undecimal (11) 6263aa

duodecimal (12) 405075

tridecimal (13) 292022

tetradecimal (14) 1c1ca5

pentadecimal (15) 14c772

As an angle

1,004,057° = 2,789 × 360° + 17°

17° ≈ 0.297 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零五十七
Chinese (financial): 壹佰萬肆仟零伍拾柒

In other modern scripts

Eastern Arabic ١٠٠٤٠٥٧ Devanagari १००४०५७ Bengali ১০০৪০৫৭ Tamil ௧௦௦௪௦௫௭ Thai ๑๐๐๔๐๕๗ Tibetan ༡༠༠༤༠༥༧ Khmer ១០០៤០៥៧ Lao ໑໐໐໔໐໕໗ Burmese ၁၀၀၄၀၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,053 (gap of 4)
Next prime: 1,004,063 (gap of 6)

Pair status: cousin with 1004053, sexy with 1004063.

Hex color

#0F5219

RGB(15, 82, 25)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.25.

Address: 0.15.82.25
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.25

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 1,004,057 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 US1,004,057 on Google Patents ↗ Look up on USPTO ↗