Live analysis

1,005,317

1,005,317 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.).

1,005,317 (one million five thousand three hundred seventeen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5705.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,005,305 1,005,306 1,005,307 1,005,308 1,005,309 1,005,310 1,005,311 1,005,312 1,005,313 1,005,314 1,005,315 1,005,316 1,005,317 1,005,318 1,005,319 1,005,320 1,005,321 1,005,322 1,005,323 1,005,324 1,005,325 1,005,326 1,005,327 1,005,328 1,005,329

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 7,135,001
Square (n²): 1,010,662,270,489
Cube (n³): 1,016,035,961,781,190,013
Divisor count: 2
σ(n) — sum of divisors: 1,005,318
φ(n) — Euler's totient: 1,005,316

Primality

1,005,317 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005317

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,317)

1 × 1005317

First multiples

1,005,317 · 2,010,634 (double) · 3,015,951 · 4,021,268 · 5,026,585 · 6,031,902 · 7,037,219 · 8,042,536 · 9,047,853 · 10,053,170

Sums & aliquot sequence

As a sum of two squares: 286² + 961²

As consecutive integers: 502,658 + 502,659

Continued fraction of √n

√1,005,317 = [1002; (1, 1, 1, 8, 1, 5, 6, 1, 29, 14, 2, 1, 1, 5, 3, 1, 1, 8, 2, 2, 1, 4, 3, 1, …)]

Representations

In words: one million five thousand three hundred seventeen
Ordinal: 1005317th
Binary: 11110101011100000101
Octal: 3653405
Hexadecimal: 0xF5705
Base64: D1cF
One's complement: 4,293,961,978 (32-bit)
Scientific notation: 1.005317 × 10⁶
As a duration: 1,005,317 s = 11 days, 15 hours, 15 minutes, 17 seconds

In other bases

ternary (3) 1220002000222

quaternary (4) 3311130011

quinary (5) 224132232

senary (6) 33314125

septenary (7) 11354645

nonary (9) 1802028

undecimal (11) 627345

duodecimal (12) 405945

tridecimal (13) 292781

tetradecimal (14) 1c2525

pentadecimal (15) 14cd12

As an angle

1,005,317° = 2,792 × 360° + 197°

197° ≈ 3.438 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬五千三百一十七
Chinese (financial): 壹佰萬伍仟參佰壹拾柒

In other modern scripts

Eastern Arabic ١٠٠٥٣١٧ Devanagari १००५३१७ Bengali ১০০৫৩১৭ Tamil ௧௦௦௫௩௧௭ Thai ๑๐๐๕๓๑๗ Tibetan ༡༠༠༥༣༡༧ Khmer ១០០៥៣១៧ Lao ໑໐໐໕໓໑໗ Burmese ၁၀၀၅၃၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,313 (gap of 4)
Next prime: 1,005,331 (gap of 14)

Pair status: cousin with 1005313.

Hex color

#0F5705

RGB(15, 87, 5)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.5.

Address: 0.15.87.5
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.5

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 1,005,317 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 US1,005,317 on Google Patents ↗ Look up on USPTO ↗