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8,730,013

8,730,013 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.).

8,730,013 (eight million seven hundred thirty thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x85359D.

Arithmetic Number Cube-Free Deficient Number Evil 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
3,100,378
Square (n²)
76,213,126,980,169
Divisor count
2
σ(n) — sum of divisors
8,730,014
φ(n) — Euler's totient
8,730,012

Primality

8,730,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8730013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,730,013)
1 × 8730013
First multiples
8,730,013 · 17,460,026 (double) · 26,190,039 · 34,920,052 · 43,650,065 · 52,380,078 · 61,110,091 · 69,840,104 · 78,570,117 · 87,300,130

Sums & aliquot sequence

As a sum of two squares: 1,398² + 2,603²
As consecutive integers: 4,365,006 + 4,365,007

Continued fraction of √n

√8,730,013 = [2954; (1, 1, 1, 14, 1, 12, 2, 1, 2, 7, 1, 7, 3, 2, 2, 2, 8, 4, 2, 4, 1, 1, 1, 4, …)]

Representations

In words
eight million seven hundred thirty thousand thirteen
Ordinal
8730013th
Binary
100001010011010110011101
Octal
41232635
Hexadecimal
0x85359D
Base64
hTWd
One's complement
4,286,237,282 (32-bit)
Scientific notation
8.730013 × 10⁶
As a duration
8,730,013 s = 101 days, 1 hour, 13 seconds
In other bases
ternary (3) 121102112022211
quaternary (4) 201103112131
quinary (5) 4213330023
senary (6) 511040421
septenary (7) 134126635
nonary (9) 17375284
undecimal (11) 4a22a96
duodecimal (12) 2b10111
tridecimal (13) 1a687b6
tetradecimal (14) 12336c5
pentadecimal (15) b76a0d

As an angle

8,730,013° = 24,250 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Chinese
八百七十三萬零一十三
Chinese (financial)
捌佰柒拾參萬零壹拾參
In other modern scripts
Eastern Arabic ٨٧٣٠٠١٣ Devanagari ८७३००१३ Bengali ৮৭৩০০১৩ Tamil ௮௭௩௦௦௧௩ Thai ๘๗๓๐๐๑๓ Tibetan ༨༧༣༠༠༡༣ Khmer ៨៧៣០០១៣ Lao ໘໗໓໐໐໑໓ Burmese ၈၇၃၀၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#85359D
RGB(133, 53, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.133.53.157.

Address
0.133.53.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.133.53.157

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 8,730,013 and was likely granted around 2014.

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

Position in π

The digit sequence 8730013 first appears in π at position 182,001 of the decimal expansion (the 182,001ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.