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538,121

538,121 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.).

538,121 (five hundred thirty-eight thousand one 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, 0x83609.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
121,835
Square (n²)
289,574,210,641
Cube (n³)
155,825,963,804,345,561
Divisor count
2
σ(n) — sum of divisors
538,122
φ(n) — Euler's totient
538,120

Primality

538,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 538121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 538,121)
1 × 538121
First multiples
538,121 · 1,076,242 (double) · 1,614,363 · 2,152,484 · 2,690,605 · 3,228,726 · 3,766,847 · 4,304,968 · 4,843,089 · 5,381,210

Sums & aliquot sequence

As a sum of two squares: 164² + 715²
As consecutive integers: 269,060 + 269,061

Continued fraction of √n

√538,121 = [733; (1, 1, 3, 4, 1, 2, 26, 3, 7, 1, 1, 1, 4, 3, 8, 2, 1, 2, 2, 1, 8, 2, 6, 1, …)]

Representations

In words
five hundred thirty-eight thousand one hundred twenty-one
Ordinal
538121st
Binary
10000011011000001001
Octal
2033011
Hexadecimal
0x83609
Base64
CDYJ
One's complement
4,294,429,174 (32-bit)
Scientific notation
5.38121 × 10⁵
As a duration
538,121 s = 6 days, 5 hours, 28 minutes, 41 seconds
In other bases
ternary (3) 1000100011102
quaternary (4) 2003120021
quinary (5) 114204441
senary (6) 15311145
septenary (7) 4400603
nonary (9) 1010142
undecimal (11) 338331
duodecimal (12) 21b4b5
tridecimal (13) 15ac1c
tetradecimal (14) 100173
pentadecimal (15) a969b

As an angle

538,121° = 1,494 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵φληρκαʹ
Chinese
五十三萬八千一百二十一
Chinese (financial)
伍拾參萬捌仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٥٣٨١٢١ Devanagari ५३८१२१ Bengali ৫৩৮১২১ Tamil ௫௩௮௧௨௧ Thai ๕๓๘๑๒๑ Tibetan ༥༣༨༡༢༡ Khmer ៥៣៨១២១ Lao ໕໓໘໑໒໑ Burmese ၅၃၈၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 538123, cousin with 538117.

Hex color
#083609
RGB(8, 54, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.54.9.

Address
0.8.54.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.54.9

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 538,121 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 538121 first appears in π at position 21,012 of the decimal expansion (the 21,012ordinal-suffix:th 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.