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164,443

164,443 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.).

164,443 (one hundred sixty-four thousand four hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2825B.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
1,152
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
344,461
Recamán's sequence
a(473,129) = 164,443
Square (n²)
27,041,500,249
Cube (n³)
4,446,785,425,446,307
Divisor count
2
σ(n) — sum of divisors
164,444
φ(n) — Euler's totient
164,442

Primality

164,443 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164443
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,443)
1 × 164443
First multiples
164,443 · 328,886 (double) · 493,329 · 657,772 · 822,215 · 986,658 · 1,151,101 · 1,315,544 · 1,479,987 · 1,644,430

Sums & aliquot sequence

As consecutive integers: 82,221 + 82,222

Continued fraction of √n

√164,443 = [405; (1, 1, 15, 2, 2, 17, 4, 2, 1, 2, 25, 1, 3, 1, 3, 1, 1, 3, 1, 1, 6, 11, 1, 1, …)]

Representations

In words
one hundred sixty-four thousand four hundred forty-three
Ordinal
164443rd
Binary
101000001001011011
Octal
501133
Hexadecimal
0x2825B
Base64
AoJb
One's complement
4,294,802,852 (32-bit)
Scientific notation
1.64443 × 10⁵
As a duration
164,443 s = 1 day, 21 hours, 40 minutes, 43 seconds
In other bases
ternary (3) 22100120111
quaternary (4) 220021123
quinary (5) 20230233
senary (6) 3305151
septenary (7) 1253266
nonary (9) 270514
undecimal (11) 102604
duodecimal (12) 7b1b7
tridecimal (13) 59b06
tetradecimal (14) 43cdd
pentadecimal (15) 33acd
Palindromic in base 12

As an angle

164,443° = 456 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξδυμγʹ
Chinese
一十六萬四千四百四十三
Chinese (financial)
壹拾陸萬肆仟肆佰肆拾參
In other modern scripts
Eastern Arabic ١٦٤٤٤٣ Devanagari १६४४४३ Bengali ১৬৪৪৪৩ Tamil ௧௬௪௪௪௩ Thai ๑๖๔๔๔๓ Tibetan ༡༦༤༤༤༣ Khmer ១៦៤៤៤៣ Lao ໑໖໔໔໔໓ Burmese ၁၆၄၄၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 164447.

Unicode codepoint
𨉛
CJK Unified Ideograph-2825B
U+2825B
Other letter (Lo)

UTF-8 encoding: F0 A8 89 9B (4 bytes).

Hex color
#02825B
RGB(2, 130, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.91.

Address
0.2.130.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.91

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 164,443 and was likely granted around 1874.

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

Position in π

The digit sequence 164443 first appears in π at position 238,802 of the decimal expansion (the 238,802ordinal-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.