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564,401

564,401 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.).

564,401 (five hundred sixty-four thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x89CB1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
104,465
Square (n²)
318,548,488,801
Cube (n³)
179,789,085,627,773,201
Divisor count
2
σ(n) — sum of divisors
564,402
φ(n) — Euler's totient
564,400

Primality

564,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 564401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 564,401)
1 × 564401
First multiples
564,401 · 1,128,802 (double) · 1,693,203 · 2,257,604 · 2,822,005 · 3,386,406 · 3,950,807 · 4,515,208 · 5,079,609 · 5,644,010

Sums & aliquot sequence

As a sum of two squares: 20² + 751²
As consecutive integers: 282,200 + 282,201

Continued fraction of √n

√564,401 = [751; (3, 1, 3, 10, 1, 3, 1, 1, 2, 1, 7, 2, 4, 4, 2, 2, 1, 39, 1, 8, 1, 10, 14, 1, …)]

Representations

In words
five hundred sixty-four thousand four hundred one
Ordinal
564401st
Binary
10001001110010110001
Octal
2116261
Hexadecimal
0x89CB1
Base64
CJyx
One's complement
4,294,402,894 (32-bit)
Scientific notation
5.64401 × 10⁵
As a duration
564,401 s = 6 days, 12 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 1001200012202
quaternary (4) 2021302301
quinary (5) 121030101
senary (6) 20032545
septenary (7) 4540325
nonary (9) 1050182
undecimal (11) 356052
duodecimal (12) 232755
tridecimal (13) 169b86
tetradecimal (14) 109985
pentadecimal (15) b236b

As an angle

564,401° = 1,567 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φξδυαʹ
Chinese
五十六萬四千四百零一
Chinese (financial)
伍拾陸萬肆仟肆佰零壹
In other modern scripts
Eastern Arabic ٥٦٤٤٠١ Devanagari ५६४४०१ Bengali ৫৬৪৪০১ Tamil ௫௬௪௪௦௧ Thai ๕๖๔๔๐๑ Tibetan ༥༦༤༤༠༡ Khmer ៥៦៤៤០១ Lao ໕໖໔໔໐໑ Burmese ၅၆၄၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 564407.

Hex color
#089CB1
RGB(8, 156, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.156.177.

Address
0.8.156.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.156.177

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 564,401 and was likely granted around 1895.

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

Position in π

The digit sequence 564401 first appears in π at position 59,792 of the decimal expansion (the 59,792ordinal-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.