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8,640,013

8,640,013 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.).

8,640,013 (eight million six hundred forty thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x83D60D.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
24 bits
Reversed
3,100,468
Square (n²)
74,649,824,640,169
Divisor count
2
σ(n) — sum of divisors
8,640,014
φ(n) — Euler's totient
8,640,012

Primality

8,640,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8640013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,640,013)
1 × 8640013
First multiples
8,640,013 · 17,280,026 (double) · 25,920,039 · 34,560,052 · 43,200,065 · 51,840,078 · 60,480,091 · 69,120,104 · 77,760,117 · 86,400,130

Sums & aliquot sequence

As a sum of two squares: 1,082² + 2,733²
As consecutive integers: 4,320,006 + 4,320,007

Continued fraction of √n

√8,640,013 = [2939; (2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 48, 1, 5, 14, 1, 1, 1, 3, 1, 1, 1, 2, 23, 1, …)]

Representations

In words
eight million six hundred forty thousand thirteen
Ordinal
8640013th
Binary
100000111101011000001101
Octal
40753015
Hexadecimal
0x83D60D
Base64
g9YN
One's complement
4,286,327,282 (32-bit)
Scientific notation
8.640013 × 10⁶
As a duration
8,640,013 s = 100 days, 13 seconds
In other bases
ternary (3) 121020221212111
quaternary (4) 200331120031
quinary (5) 4202440023
senary (6) 505104021
septenary (7) 133303354
nonary (9) 17227774
undecimal (11) 4971408
duodecimal (12) 2a88011
tridecimal (13) 1a36845
tetradecimal (14) 120c99b
pentadecimal (15) b5a00d

As an angle

8,640,013° = 24,000 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 · · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Chinese
八百六十四萬零一十三
Chinese (financial)
捌佰陸拾肆萬零壹拾參
In other modern scripts
Eastern Arabic ٨٦٤٠٠١٣ Devanagari ८६४००१३ Bengali ৮৬৪০০১৩ Tamil ௮௬௪௦௦௧௩ Thai ๘๖๔๐๐๑๓ Tibetan ༨༦༤༠༠༡༣ Khmer ៨៦៤០០១៣ Lao ໘໖໔໐໐໑໓ Burmese ၈၆၄၀၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 8640017.

Hex color
#83D60D
RGB(131, 214, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.131.214.13.

Address
0.131.214.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.131.214.13

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 8,640,013 and was likely granted around 2014.

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.