Live analysis

1,005,413

1,005,413 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.).

1,005,413 (one million five thousand four hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5765.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,005,401 1,005,402 1,005,403 1,005,404 1,005,405 1,005,406 1,005,407 1,005,408 1,005,409 1,005,410 1,005,411 1,005,412 1,005,413 1,005,414 1,005,415 1,005,416 1,005,417 1,005,418 1,005,419 1,005,420 1,005,421 1,005,422 1,005,423 1,005,424 1,005,425

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 3,145,001
Square (n²): 1,010,855,300,569
Cube (n³): 1,016,327,060,310,979,997
Divisor count: 2
σ(n) — sum of divisors: 1,005,414
φ(n) — Euler's totient: 1,005,412

Primality

1,005,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005413

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,413)

1 × 1005413

First multiples

1,005,413 · 2,010,826 (double) · 3,016,239 · 4,021,652 · 5,027,065 · 6,032,478 · 7,037,891 · 8,043,304 · 9,048,717 · 10,054,130

Sums & aliquot sequence

As a sum of two squares: 97² + 998²

As consecutive integers: 502,706 + 502,707

Continued fraction of √n

√1,005,413 = [1002; (1, 2, 2, 1, 2, 1, 4, 3, 9, 5, 5, 2, 3, 2, 29, 18, 2, 1, 2, 1, 12, 1, 4, 1, …)]

Representations

In words: one million five thousand four hundred thirteen
Ordinal: 1005413th
Binary: 11110101011101100101
Octal: 3653545
Hexadecimal: 0xF5765
Base64: D1dl
One's complement: 4,293,961,882 (32-bit)
Scientific notation: 1.005413 × 10⁶
As a duration: 1,005,413 s = 11 days, 15 hours, 16 minutes, 53 seconds

In other bases

ternary (3) 1220002011112

quaternary (4) 3311131211

quinary (5) 224133123

senary (6) 33314405

septenary (7) 11355143

nonary (9) 1802145

undecimal (11) 627422

duodecimal (12) 405a05

tridecimal (13) 292826

tetradecimal (14) 1c2593

pentadecimal (15) 14cd78

As an angle

1,005,413° = 2,792 × 360° + 293°

293° ≈ 5.114 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese: 一百萬五千四百一十三
Chinese (financial): 壹佰萬伍仟肆佰壹拾參

In other modern scripts

Eastern Arabic ١٠٠٥٤١٣ Devanagari १००५४१३ Bengali ১০০৫৪১৩ Tamil ௧௦௦௫௪௧௩ Thai ๑๐๐๕๔๑๓ Tibetan ༡༠༠༥༤༡༣ Khmer ១០០៥៤១៣ Lao ໑໐໐໕໔໑໓ Burmese ၁၀၀၅၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,409 (gap of 4)
Next prime: 1,005,427 (gap of 14)

Pair status: cousin with 1005409.

Hex color

#0F5765

RGB(15, 87, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.101.

Address: 0.15.87.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.101

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 1,005,413 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 US1,005,413 on Google Patents ↗ Look up on USPTO ↗