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1,015,813

1,015,813 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.).

1,015,813 (one million fifteen thousand eight hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF8005.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
3,185,101
Square (n²)
1,031,876,050,969
Cube (n³)
1,048,193,106,962,972,797
Divisor count
2
σ(n) — sum of divisors
1,015,814
φ(n) — Euler's totient
1,015,812

Primality

1,015,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1015813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,015,813)
1 × 1015813
First multiples
1,015,813 · 2,031,626 (double) · 3,047,439 · 4,063,252 · 5,079,065 · 6,094,878 · 7,110,691 · 8,126,504 · 9,142,317 · 10,158,130

Sums & aliquot sequence

As a sum of two squares: 42² + 1,007²
As consecutive integers: 507,906 + 507,907

Continued fraction of √n

√1,015,813 = [1007; (1, 7, 31, 1, 6, 1, 3, 14, 4, 9, 1, 2, 6, 29, 17, 1, 4, 9, 3, 3, 1, 2, 1, 3, …)]

Representations

In words
one million fifteen thousand eight hundred thirteen
Ordinal
1015813th
Binary
11111000000000000101
Octal
3700005
Hexadecimal
0xF8005
Base64
D4AF
One's complement
4,293,951,482 (32-bit)
Scientific notation
1.015813 × 10⁶
As a duration
1,015,813 s = 11 days, 18 hours, 10 minutes, 13 seconds
In other bases
ternary (3) 1220121102201
quaternary (4) 3320000011
quinary (5) 230001223
senary (6) 33434501
septenary (7) 11430361
nonary (9) 1817381
undecimal (11) 634217
duodecimal (12) 40ba31
tridecimal (13) 297496
tetradecimal (14) 1c62a1
pentadecimal (15) 150ead

As an angle

1,015,813° = 2,821 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零一萬五千八百一十三
Chinese (financial)
壹佰零壹萬伍仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٠١٥٨١٣ Devanagari १०१५८१३ Bengali ১০১৫৮১৩ Tamil ௧௦௧௫௮௧௩ Thai ๑๐๑๕๘๑๓ Tibetan ༡༠༡༥༨༡༣ Khmer ១០១៥៨១៣ Lao ໑໐໑໕໘໑໓ Burmese ၁၀၁၅၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F8005
RGB(15, 128, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.5.

Address
0.15.128.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.128.5

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 5813 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5813-10-01 (MMDYYYY (US, single-digit day))
  • 5813-01-10 (DDMYYYY (Euro, single-digit month))
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 1,015,813 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.