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165,041

165,041 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.).

165,041 (one hundred sixty-five thousand forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x284B1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
140,561
Square (n²)
27,238,531,681
Cube (n³)
4,495,474,507,163,921
Divisor count
2
σ(n) — sum of divisors
165,042
φ(n) — Euler's totient
165,040

Primality

165,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 165041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 165,041)
1 × 165041
First multiples
165,041 · 330,082 (double) · 495,123 · 660,164 · 825,205 · 990,246 · 1,155,287 · 1,320,328 · 1,485,369 · 1,650,410

Sums & aliquot sequence

As a sum of two squares: 71² + 400²
As consecutive integers: 82,520 + 82,521

Continued fraction of √n

√165,041 = [406; (3, 1, 25, 2, 5, 1, 2, 2, 7, 1, 19, 2, 3, 7, 5, 1, 34, 2, 22, 1, 2, 1, 1, 2, …)]

Representations

In words
one hundred sixty-five thousand forty-one
Ordinal
165041st
Binary
101000010010110001
Octal
502261
Hexadecimal
0x284B1
Base64
AoSx
One's complement
4,294,802,254 (32-bit)
Scientific notation
1.65041 × 10⁵
As a duration
165,041 s = 1 day, 21 hours, 50 minutes, 41 seconds
In other bases
ternary (3) 22101101122
quaternary (4) 220102301
quinary (5) 20240131
senary (6) 3312025
septenary (7) 1255112
nonary (9) 271348
undecimal (11) 102aa8
duodecimal (12) 7b615
tridecimal (13) 5a176
tetradecimal (14) 44209
pentadecimal (15) 33d7b

As an angle

165,041° = 458 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρξεμαʹ
Chinese
一十六萬五千零四十一
Chinese (financial)
壹拾陸萬伍仟零肆拾壹
In other modern scripts
Eastern Arabic ١٦٥٠٤١ Devanagari १६५०४१ Bengali ১৬৫০৪১ Tamil ௧௬௫௦௪௧ Thai ๑๖๕๐๔๑ Tibetan ༡༦༥༠༤༡ Khmer ១៦៥០៤១ Lao ໑໖໕໐໔໑ Burmese ၁၆၅၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 165037, sexy with 165047.

Unicode codepoint
𨒱
CJK Unified Ideograph-284B1
U+284B1
Other letter (Lo)

UTF-8 encoding: F0 A8 92 B1 (4 bytes).

Hex color
#0284B1
RGB(2, 132, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.177.

Address
0.2.132.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.132.177

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 165,041 and was likely granted around 1874.

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

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.