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8,713,013

8,713,013 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.).

8,713,013 (eight million seven hundred thirteen thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x84F335.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
24 bits
Reversed
3,103,178
Square (n²)
75,916,595,538,169
Divisor count
2
σ(n) — sum of divisors
8,713,014
φ(n) — Euler's totient
8,713,012

Primality

8,713,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8713013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,713,013)
1 × 8713013
First multiples
8,713,013 · 17,426,026 (double) · 26,139,039 · 34,852,052 · 43,565,065 · 52,278,078 · 60,991,091 · 69,704,104 · 78,417,117 · 87,130,130

Sums & aliquot sequence

As a sum of two squares: 742² + 2,857²
As consecutive integers: 4,356,506 + 4,356,507

Continued fraction of √n

√8,713,013 = [2951; (1, 3, 1, 1, 2, 1, 12, 31, 3, 10, 1, 2, 1, 16, 5, 1, 5, 5, 1, 6, 12, 19, 1, 1, …)]

Representations

In words
eight million seven hundred thirteen thousand thirteen
Ordinal
8713013th
Binary
100001001111001100110101
Octal
41171465
Hexadecimal
0x84F335
Base64
hPM1
One's complement
4,286,254,282 (32-bit)
Scientific notation
8.713013 × 10⁶
As a duration
8,713,013 s = 100 days, 20 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 121101200000012
quaternary (4) 201033030311
quinary (5) 4212304023
senary (6) 510430005
septenary (7) 134026241
nonary (9) 17350005
undecimal (11) 4a11241
duodecimal (12) 2b02305
tridecimal (13) 1a60b3a
tetradecimal (14) 122b421
pentadecimal (15) b71978

As an angle

8,713,013° = 24,202 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese
八百七十一萬三千零一十三
Chinese (financial)
捌佰柒拾壹萬參仟零壹拾參
In other modern scripts
Eastern Arabic ٨٧١٣٠١٣ Devanagari ८७१३०१३ Bengali ৮৭১৩০১৩ Tamil ௮௭௧௩௦௧௩ Thai ๘๗๑๓๐๑๓ Tibetan ༨༧༡༣༠༡༣ Khmer ៨៧១៣០១៣ Lao ໘໗໑໓໐໑໓ Burmese ၈၇၁၃၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 8713009.

Hex color
#84F335
RGB(132, 243, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.132.243.53.

Address
0.132.243.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.132.243.53

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 8,713,013 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.