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1,005,313

1,005,313 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.).

1,005,313 (one million five thousand three hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5701.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,135,001
Square (n²)
1,010,654,227,969
Cube (n³)
1,016,023,833,882,199,297
Divisor count
2
σ(n) — sum of divisors
1,005,314
φ(n) — Euler's totient
1,005,312

Primality

1,005,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1005313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,005,313)
1 × 1005313
First multiples
1,005,313 · 2,010,626 (double) · 3,015,939 · 4,021,252 · 5,026,565 · 6,031,878 · 7,037,191 · 8,042,504 · 9,047,817 · 10,053,130

Sums & aliquot sequence

As a sum of two squares: 448² + 897²
As consecutive integers: 502,656 + 502,657

Continued fraction of √n

√1,005,313 = [1002; (1, 1, 1, 7, 2, 4, 1, 2, 2, 9, 1, 3, 13, 2, 1, 1, 2, 7, 4, 1, 2, 1, 9, 7, …)]

Representations

In words
one million five thousand three hundred thirteen
Ordinal
1005313th
Binary
11110101011100000001
Octal
3653401
Hexadecimal
0xF5701
Base64
D1cB
One's complement
4,293,961,982 (32-bit)
Scientific notation
1.005313 × 10⁶
As a duration
1,005,313 s = 11 days, 15 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 1220002000211
quaternary (4) 3311130001
quinary (5) 224132223
senary (6) 33314121
septenary (7) 11354641
nonary (9) 1802024
undecimal (11) 627341
duodecimal (12) 405941
tridecimal (13) 29277a
tetradecimal (14) 1c2521
pentadecimal (15) 14cd0d

As an angle

1,005,313° = 2,792 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百萬五千三百一十三
Chinese (financial)
壹佰萬伍仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٥٣١٣ Devanagari १००५३१३ Bengali ১০০৫৩১৩ Tamil ௧௦௦௫௩௧௩ Thai ๑๐๐๕๓๑๓ Tibetan ༡༠༠༥༣༡༣ Khmer ១០០៥៣១៣ Lao ໑໐໐໕໓໑໓ Burmese ၁၀၀၅၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1005317.

Hex color
#0F5701
RGB(15, 87, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.1.

Address
0.15.87.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.87.1

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 1,005,313 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.