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524,801

524,801 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.).

524,801 (five hundred twenty-four thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x80201.

Arithmetic Number Chen Prime Cube-Free Deficient Number Lazy Caterer Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
108,425
Square (n²)
275,416,089,601
Cube (n³)
144,538,639,238,694,401
Divisor count
2
σ(n) — sum of divisors
524,802
φ(n) — Euler's totient
524,800

Primality

524,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 524801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 524,801)
1 × 524801
First multiples
524,801 · 1,049,602 (double) · 1,574,403 · 2,099,204 · 2,624,005 · 3,148,806 · 3,673,607 · 4,198,408 · 4,723,209 · 5,248,010

Sums & aliquot sequence

As a sum of two squares: 25² + 724²
As consecutive integers: 262,400 + 262,401

Continued fraction of √n

√524,801 = [724; (2, 3, 6, 1, 2, 8, 39, 25, 1, 5, 1, 1, 6, 1, 1, 8, 7, 7, 1, 6, 2, 1, 2, 1, …)]

Representations

In words
five hundred twenty-four thousand eight hundred one
Ordinal
524801st
Binary
10000000001000000001
Octal
2001001
Hexadecimal
0x80201
Base64
CAIB
One's complement
4,294,442,494 (32-bit)
Scientific notation
5.24801 × 10⁵
As a duration
524,801 s = 6 days, 1 hour, 46 minutes, 41 seconds
In other bases
ternary (3) 222122220002
quaternary (4) 2000020001
quinary (5) 113243201
senary (6) 15125345
septenary (7) 4314014
nonary (9) 878802
undecimal (11) 329322
duodecimal (12) 213855
tridecimal (13) 154b44
tetradecimal (14) d937b
pentadecimal (15) a576b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φκδωαʹ
Chinese
五十二萬四千八百零一
Chinese (financial)
伍拾貳萬肆仟捌佰零壹
In other modern scripts
Eastern Arabic ٥٢٤٨٠١ Devanagari ५२४८०१ Bengali ৫২৪৮০১ Tamil ௫௨௪௮௦௧ Thai ๕๒๔๘๐๑ Tibetan ༥༢༤༨༠༡ Khmer ៥២៤៨០១ Lao ໕໒໔໘໐໑ Burmese ၅၂၄၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 524803.

Hex color
#080201
RGB(8, 2, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.2.1.

Address
0.8.2.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.2.1

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 524,801 and was likely granted around 1894.

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.