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165,089

165,089 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.).

165,089 (one hundred sixty-five thousand eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x284E1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
980,561
Square (n²)
27,254,377,921
Cube (n³)
4,499,397,996,599,969
Divisor count
2
σ(n) — sum of divisors
165,090
φ(n) — Euler's totient
165,088

Primality

165,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 165089
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 165,089)
1 × 165089
First multiples
165,089 · 330,178 (double) · 495,267 · 660,356 · 825,445 · 990,534 · 1,155,623 · 1,320,712 · 1,485,801 · 1,650,890

Sums & aliquot sequence

As a sum of two squares: 265² + 308²
As consecutive integers: 82,544 + 82,545

Continued fraction of √n

√165,089 = [406; (3, 4, 1, 2, 1, 13, 1, 3, 2, 2, 2, 1, 1, 2, 1, 2, 4, 3, 1, 1, 1, 1, 1, 5, …)]

Representations

In words
one hundred sixty-five thousand eighty-nine
Ordinal
165089th
Binary
101000010011100001
Octal
502341
Hexadecimal
0x284E1
Base64
AoTh
One's complement
4,294,802,206 (32-bit)
Scientific notation
1.65089 × 10⁵
As a duration
165,089 s = 1 day, 21 hours, 51 minutes, 29 seconds
In other bases
ternary (3) 22101110102
quaternary (4) 220103201
quinary (5) 20240324
senary (6) 3312145
septenary (7) 1255211
nonary (9) 271412
undecimal (11) 103041
duodecimal (12) 7b655
tridecimal (13) 5a1b2
tetradecimal (14) 44241
pentadecimal (15) 33dae

As an angle

165,089° = 458 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξεπθʹ
Chinese
一十六萬五千零八十九
Chinese (financial)
壹拾陸萬伍仟零捌拾玖
In other modern scripts
Eastern Arabic ١٦٥٠٨٩ Devanagari १६५०८९ Bengali ১৬৫০৮৯ Tamil ௧௬௫௦௮௯ Thai ๑๖๕๐๘๙ Tibetan ༡༦༥༠༨༩ Khmer ១៦៥០៨៩ Lao ໑໖໕໐໘໙ Burmese ၁၆၅၀၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 165083.

Unicode codepoint
𨓡
CJK Unified Ideograph-284E1
U+284E1
Other letter (Lo)

UTF-8 encoding: F0 A8 93 A1 (4 bytes).

Hex color
#0284E1
RGB(2, 132, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.225.

Address
0.2.132.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.132.225

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 165,089 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 165089 first appears in π at position 186,189 of the decimal expansion (the 186,189ordinal-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.