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165,842

165,842 is a composite number, even.

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.).

165,842 (one hundred sixty-five thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 101 × 821. Written other ways, in hexadecimal, 0x287D2.

Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,920
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
248,561
Recamán's sequence
a(196,308) = 165,842
Square (n²)
27,503,568,964
Cube (n³)
4,561,246,884,127,688
Divisor count
8
σ(n) — sum of divisors
251,532
φ(n) — Euler's totient
82,000
Sum of prime factors
924

Primality

Prime factorization: 2 × 101 × 821

Nearest primes: 165,833 (−9) · 165,857 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 101 · 202 · 821 · 1642 · 82921 (half) · 165842
Aliquot sum (sum of proper divisors): 85,690
Factor pairs (a × b = 165,842)
1 × 165842
2 × 82921
101 × 1642
202 × 821
First multiples
165,842 · 331,684 (double) · 497,526 · 663,368 · 829,210 · 995,052 · 1,160,894 · 1,326,736 · 1,492,578 · 1,658,420

Sums & aliquot sequence

As a sum of two squares: 71² + 401² = 149² + 379²
As consecutive integers: 41,459 + 41,460 + 41,461 + 41,462 1,592 + 1,593 + … + 1,692 209 + 210 + … + 612
Aliquot sequence: 165,842 85,690 95,750 83,962 41,984 43,990 37,658 21,862 12,914 8,254 4,130 4,510 4,562 2,284 1,720 2,240 3,856 — unresolved within range

Continued fraction of √n

√165,842 = [407; (4, 4, 1, 1, 3, 10, 35, 3, 5, 1, 1, 1, 1, 2, 11, 11, 2, 1, 1, 1, 1, 5, 3, 35, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand eight hundred forty-two
Ordinal
165842nd
Binary
101000011111010010
Octal
503722
Hexadecimal
0x287D2
Base64
AofS
One's complement
4,294,801,453 (32-bit)
Scientific notation
1.65842 × 10⁵
As a duration
165,842 s = 1 day, 22 hours, 4 minutes, 2 seconds
In other bases
ternary (3) 22102111022
quaternary (4) 220133102
quinary (5) 20301332
senary (6) 3315442
septenary (7) 1260335
nonary (9) 272438
undecimal (11) 103666
duodecimal (12) 7bb82
tridecimal (13) 5a641
tetradecimal (14) 4461c
pentadecimal (15) 34212

As an angle

165,842° = 460 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξεωμβʹ
Chinese
一十六萬五千八百四十二
Chinese (financial)
壹拾陸萬伍仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٦٥٨٤٢ Devanagari १६५८४२ Bengali ১৬৫৮৪২ Tamil ௧௬௫௮௪௨ Thai ๑๖๕๘๔๒ Tibetan ༡༦༥༨༤༢ Khmer ១៦៥៨៤២ Lao ໑໖໕໘໔໒ Burmese ၁၆၅၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165842, here are decompositions:

  • 13 + 165829 = 165842
  • 31 + 165811 = 165842
  • 43 + 165799 = 165842
  • 139 + 165703 = 165842
  • 241 + 165601 = 165842
  • 283 + 165559 = 165842
  • 331 + 165511 = 165842
  • 373 + 165469 = 165842

Showing the first eight; more decompositions exist.

Unicode codepoint
𨟒
CJK Unified Ideograph-287D2
U+287D2
Other letter (Lo)

UTF-8 encoding: F0 A8 9F 92 (4 bytes).

Hex color
#0287D2
RGB(2, 135, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.135.210.

Address
0.2.135.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.135.210

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 165,842 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.