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8,721,313

8,721,313 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.).

8,721,313 (eight million seven hundred twenty-one 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, 0x8513A1.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
25
Digit product
1,008
Digital root
7
Palindrome
No
Bit width
24 bits
Reversed
3,131,278
Square (n²)
76,061,300,443,969
Divisor count
2
σ(n) — sum of divisors
8,721,314
φ(n) — Euler's totient
8,721,312

Primality

8,721,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8721313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,721,313)
1 × 8721313
First multiples
8,721,313 · 17,442,626 (double) · 26,163,939 · 34,885,252 · 43,606,565 · 52,327,878 · 61,049,191 · 69,770,504 · 78,491,817 · 87,213,130

Sums & aliquot sequence

As a sum of two squares: 1,032² + 2,767²
As consecutive integers: 4,360,656 + 4,360,657

Continued fraction of √n

√8,721,313 = [2953; (5, 2, 1, 6, 12, 1, 4, 12, 1, 19, 1, 1, 2, 2, 10, 3, 1, 1, 6, 1, 4, 9, 3, 1, …)]

Representations

In words
eight million seven hundred twenty-one thousand three hundred thirteen
Ordinal
8721313th
Binary
100001010001001110100001
Octal
41211641
Hexadecimal
0x8513A1
Base64
hROh
One's complement
4,286,245,982 (32-bit)
Scientific notation
8.721313 × 10⁶
As a duration
8,721,313 s = 100 days, 22 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 121102002101121
quaternary (4) 201101032201
quinary (5) 4213040223
senary (6) 510532241
septenary (7) 134062366
nonary (9) 17362347
undecimal (11) 4a174a7
duodecimal (12) 2b07081
tridecimal (13) 1a64853
tetradecimal (14) 123046d
pentadecimal (15) b7415d

As an angle

8,721,313° = 24,225 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
八百七十二萬一千三百一十三
Chinese (financial)
捌佰柒拾貳萬壹仟參佰壹拾參
In other modern scripts
Eastern Arabic ٨٧٢١٣١٣ Devanagari ८७२१३१३ Bengali ৮৭২১৩১৩ Tamil ௮௭௨௧௩௧௩ Thai ๘๗๒๑๓๑๓ Tibetan ༨༧༢༡༣༡༣ Khmer ៨៧២១៣១៣ Lao ໘໗໒໑໓໑໓ Burmese ၈၇၂၁၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 8721311.

Hex color
#8513A1
RGB(133, 19, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.133.19.161.

Address
0.133.19.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.133.19.161

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 8,721,313 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.