Live analysis

1,008,421

1,008,421 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.).

1,008,421 (one million eight thousand four hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6325.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,008,409 1,008,410 1,008,411 1,008,412 1,008,413 1,008,414 1,008,415 1,008,416 1,008,417 1,008,418 1,008,419 1,008,420 1,008,421 1,008,422 1,008,423 1,008,424 1,008,425 1,008,426 1,008,427 1,008,428 1,008,429 1,008,430 1,008,431 1,008,432 1,008,433

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 1,248,001
Recamán's sequence: a(348,609) = 1,008,421
Square (n²): 1,016,912,913,241
Cube (n³): 1,025,476,336,883,402,461
Divisor count: 2
σ(n) — sum of divisors: 1,008,422
φ(n) — Euler's totient: 1,008,420

Primality

1,008,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1008421

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,008,421)

1 × 1008421

First multiples

1,008,421 · 2,016,842 (double) · 3,025,263 · 4,033,684 · 5,042,105 · 6,050,526 · 7,058,947 · 8,067,368 · 9,075,789 · 10,084,210

Sums & aliquot sequence

As a sum of two squares: 625² + 786²

As consecutive integers: 504,210 + 504,211

Continued fraction of √n

√1,008,421 = [1004; (4, 1, 23, 9, 7, 1, 3, 3, 1, 3, 1, 1, 1, 1, 3, 4, 2, 8, 10, 7, 1, 3, 2, 23, …)]

Representations

In words: one million eight thousand four hundred twenty-one
Ordinal: 1008421st
Binary: 11110110001100100101
Octal: 3661445
Hexadecimal: 0xF6325
Base64: D2Ml
One's complement: 4,293,958,874 (32-bit)
Scientific notation: 1.008421 × 10⁶
As a duration: 1,008,421 s = 11 days, 16 hours, 7 minutes, 1 second

In other bases

ternary (3) 1220020021221

quaternary (4) 3312030211

quinary (5) 224232141

senary (6) 33340341

septenary (7) 11400001

nonary (9) 1806257

undecimal (11) 629707

duodecimal (12) 4076b1

tridecimal (13) 293ccb

tetradecimal (14) 1c3701

pentadecimal (15) 14dbd1

As an angle

1,008,421° = 2,801 × 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 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese: 一百萬八千四百二十一
Chinese (financial): 壹佰萬捌仟肆佰貳拾壹

In other modern scripts

Eastern Arabic ١٠٠٨٤٢١ Devanagari १००८४२१ Bengali ১০০৮৪২১ Tamil ௧௦௦௮௪௨௧ Thai ๑๐๐๘๔๒๑ Tibetan ༡༠༠༨༤༢༡ Khmer ១០០៨៤២១ Lao ໑໐໐໘໔໒໑ Burmese ၁၀၀၈၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,008,419 (gap of 2)
Next prime: 1,008,433 (gap of 12)

Pair status: twin with 1008419.

Hex color

#0F6325

RGB(15, 99, 37)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.99.37.

Address: 0.15.99.37
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.99.37

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 1,008,421 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 US1,008,421 on Google Patents ↗ Look up on USPTO ↗