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525,221

525,221 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.).

525,221 (five hundred twenty-five thousand two hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x803A5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
200
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
122,525
Square (n²)
275,857,098,841
Cube (n³)
144,885,941,310,368,861
Divisor count
2
σ(n) — sum of divisors
525,222
φ(n) — Euler's totient
525,220

Primality

525,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 525221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 525,221)
1 × 525221
First multiples
525,221 · 1,050,442 (double) · 1,575,663 · 2,100,884 · 2,626,105 · 3,151,326 · 3,676,547 · 4,201,768 · 4,726,989 · 5,252,210

Sums & aliquot sequence

As a sum of two squares: 385² + 614²
As consecutive integers: 262,610 + 262,611

Continued fraction of √n

√525,221 = [724; (1, 2, 1, 1, 2, 3, 18, 1, 1, 8, 6, 41, 4, 76, 26, 2, 1, 15, 11, 1, 10, 1, 3, 2, …)]

Representations

In words
five hundred twenty-five thousand two hundred twenty-one
Ordinal
525221st
Binary
10000000001110100101
Octal
2001645
Hexadecimal
0x803A5
Base64
CAOl
One's complement
4,294,442,074 (32-bit)
Scientific notation
5.25221 × 10⁵
As a duration
525,221 s = 6 days, 1 hour, 53 minutes, 41 seconds
In other bases
ternary (3) 222200110122
quaternary (4) 2000032211
quinary (5) 113301341
senary (6) 15131325
septenary (7) 4315154
nonary (9) 880418
undecimal (11) 329674
duodecimal (12) 213b45
tridecimal (13) 1550a8
tetradecimal (14) d959b
pentadecimal (15) a594b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵φκεσκαʹ
Chinese
五十二萬五千二百二十一
Chinese (financial)
伍拾貳萬伍仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٥٢٥٢٢١ Devanagari ५२५२२१ Bengali ৫২৫২২১ Tamil ௫௨௫௨௨௧ Thai ๕๒๕๒๒๑ Tibetan ༥༢༥༢༢༡ Khmer ៥២៥២២១ Lao ໕໒໕໒໒໑ Burmese ၅၂၅၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0803A5
RGB(8, 3, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.3.165.

Address
0.8.3.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.3.165

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 525,221 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.