Live analysis

1,008,401

1,008,401 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.).

1,008,401 (one million eight thousand four hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6311.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,008,389 1,008,390 1,008,391 1,008,392 1,008,393 1,008,394 1,008,395 1,008,396 1,008,397 1,008,398 1,008,399 1,008,400 1,008,401 1,008,402 1,008,403 1,008,404 1,008,405 1,008,406 1,008,407 1,008,408 1,008,409 1,008,410 1,008,411 1,008,412 1,008,413

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,048,001
Recamán's sequence: a(348,649) = 1,008,401
Square (n²): 1,016,872,576,801
Cube (n³): 1,025,415,323,318,705,201
Divisor count: 2
σ(n) — sum of divisors: 1,008,402
φ(n) — Euler's totient: 1,008,400

Primality

1,008,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1008401

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,008,401)

1 × 1008401

First multiples

1,008,401 · 2,016,802 (double) · 3,025,203 · 4,033,604 · 5,042,005 · 6,050,406 · 7,058,807 · 8,067,208 · 9,075,609 · 10,084,010

Sums & aliquot sequence

As a sum of two squares: 80² + 1,001²

As consecutive integers: 504,200 + 504,201

Continued fraction of √n

√1,008,401 = [1004; (5, 4, 1, 1, 1, 2, 5, 12, 1, 1, 1, 1, 5, 1, 2, 1, 2, 1, 4, 2, 1, 1, 3, 1, …)]

Representations

In words: one million eight thousand four hundred one
Ordinal: 1008401st
Binary: 11110110001100010001
Octal: 3661421
Hexadecimal: 0xF6311
Base64: D2MR
One's complement: 4,293,958,894 (32-bit)
Scientific notation: 1.008401 × 10⁶
As a duration: 1,008,401 s = 11 days, 16 hours, 6 minutes, 41 seconds

In other bases

ternary (3) 1220020021012

quaternary (4) 3312030101

quinary (5) 224232101

senary (6) 33340305

septenary (7) 11366642

nonary (9) 1806235

undecimal (11) 629699

duodecimal (12) 407695

tridecimal (13) 293cb4

tetradecimal (14) 1c36c9

pentadecimal (15) 14dbbb

As an angle

1,008,401° = 2,801 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese: 一百萬八千四百零一
Chinese (financial): 壹佰萬捌仟肆佰零壹

In other modern scripts

Eastern Arabic ١٠٠٨٤٠١ Devanagari १००८४०१ Bengali ১০০৮৪০১ Tamil ௧௦௦௮௪௦௧ Thai ๑๐๐๘๔๐๑ Tibetan ༡༠༠༨༤༠༡ Khmer ១០០៨៤០១ Lao ໑໐໐໘໔໐໑ Burmese ၁၀၀၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,008,379 (gap of 22)
Next prime: 1,008,407 (gap of 6)

Pair status: sexy with 1008407.

Hex color

#0F6311

RGB(15, 99, 17)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.99.17.

Address: 0.15.99.17
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.99.17

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 1,008,401 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 US1,008,401 on Google Patents ↗ Look up on USPTO ↗