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538,001

538,001 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.).

538,001 (five hundred thirty-eight thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x83591.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
100,835
Square (n²)
289,445,076,001
Cube (n³)
155,721,740,333,614,001
Divisor count
2
σ(n) — sum of divisors
538,002
φ(n) — Euler's totient
538,000

Primality

538,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 538001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 538,001)
1 × 538001
First multiples
538,001 · 1,076,002 (double) · 1,614,003 · 2,152,004 · 2,690,005 · 3,228,006 · 3,766,007 · 4,304,008 · 4,842,009 · 5,380,010

Sums & aliquot sequence

As a sum of two squares: 449² + 580²
As consecutive integers: 269,000 + 269,001

Continued fraction of √n

√538,001 = [733; (2, 16, 1, 3, 6, 1, 35, 1, 4, 3, 10, 2, 9, 5, 1, 2, 1, 4, 1, 12, 3, 1, 2, 15, …)]

Representations

In words
five hundred thirty-eight thousand one
Ordinal
538001st
Binary
10000011010110010001
Octal
2032621
Hexadecimal
0x83591
Base64
CDWR
One's complement
4,294,429,294 (32-bit)
Scientific notation
5.38001 × 10⁵
As a duration
538,001 s = 6 days, 5 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 1000022222222
quaternary (4) 2003112101
quinary (5) 114204001
senary (6) 15310425
septenary (7) 4400342
nonary (9) 1008888
undecimal (11) 338232
duodecimal (12) 21b415
tridecimal (13) 15ab59
tetradecimal (14) 1000c9
pentadecimal (15) a961b

As an angle

538,001° = 1,494 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵φληαʹ
Chinese
五十三萬八千零一
Chinese (financial)
伍拾參萬捌仟零壹
In other modern scripts
Eastern Arabic ٥٣٨٠٠١ Devanagari ५३८००१ Bengali ৫৩৮০০১ Tamil ௫௩௮௦௦௧ Thai ๕๓๘๐๐๑ Tibetan ༥༣༨༠༠༡ Khmer ៥៣៨០០១ Lao ໕໓໘໐໐໑ Burmese ၅၃၈၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#083591
RGB(8, 53, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.53.145.

Address
0.8.53.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.53.145

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 538,001 and was likely granted around 1894.

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

Position in π

The digit sequence 538001 first appears in π at position 193,262 of the decimal expansion (the 193,262ordinal-suffix:nd 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.