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164,082

164,082 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.).

164,082 (one hundred sixty-four thousand eighty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 23 × 29 × 41. Its proper divisors sum to 198,798, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x280F2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
280,461
Recamán's sequence
a(197,048) = 164,082
Square (n²)
26,922,902,724
Cube (n³)
4,417,563,724,759,368
Divisor count
32
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
49,280
Sum of prime factors
98

Primality

Prime factorization: 2 × 3 × 23 × 29 × 41

Nearest primes: 164,071 (−11) · 164,089 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 23 · 29 · 41 · 46 · 58 · 69 · 82 · 87 · 123 · 138 · 174 · 246 · 667 · 943 · 1189 · 1334 · 1886 · 2001 · 2378 · 2829 · 3567 · 4002 · 5658 · 7134 · 27347 · 54694 · 82041 (half) · 164082
Aliquot sum (sum of proper divisors): 198,798
Factor pairs (a × b = 164,082)
1 × 164082
2 × 82041
3 × 54694
6 × 27347
23 × 7134
29 × 5658
41 × 4002
46 × 3567
58 × 2829
69 × 2378
82 × 2001
87 × 1886
123 × 1334
138 × 1189
174 × 943
246 × 667
First multiples
164,082 · 328,164 (double) · 492,246 · 656,328 · 820,410 · 984,492 · 1,148,574 · 1,312,656 · 1,476,738 · 1,640,820

Sums & aliquot sequence

As consecutive integers: 54,693 + 54,694 + 54,695 41,019 + 41,020 + 41,021 + 41,022 13,668 + 13,669 + … + 13,679 7,123 + 7,124 + … + 7,145
Aliquot sequence: 164,082 198,798 222,402 228,030 369,858 369,870 517,890 749,886 749,898 936,150 1,415,262 1,415,274 1,927,062 2,281,818 3,463,782 4,453,530 6,605,670 — unresolved within range

Continued fraction of √n

√164,082 = [405; (14, 4, 1, 2, 1, 1, 1, 1, 34, 1, 1, 1, 1, 2, 1, 4, 14, 810)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand eighty-two
Ordinal
164082nd
Binary
101000000011110010
Octal
500362
Hexadecimal
0x280F2
Base64
AoDy
One's complement
4,294,803,213 (32-bit)
Scientific notation
1.64082 × 10⁵
As a duration
164,082 s = 1 day, 21 hours, 34 minutes, 42 seconds
In other bases
ternary (3) 22100002010
quaternary (4) 220003302
quinary (5) 20222312
senary (6) 3303350
septenary (7) 1252242
nonary (9) 270063
undecimal (11) 102306
duodecimal (12) 7ab56
tridecimal (13) 598b9
tetradecimal (14) 43b22
pentadecimal (15) 3393c

As an angle

164,082° = 455 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξδπβʹ
Chinese
一十六萬四千零八十二
Chinese (financial)
壹拾陸萬肆仟零捌拾貳
In other modern scripts
Eastern Arabic ١٦٤٠٨٢ Devanagari १६४०८२ Bengali ১৬৪০৮২ Tamil ௧௬௪௦௮௨ Thai ๑๖๔๐๘๒ Tibetan ༡༦༤༠༨༢ Khmer ១៦៤០៨២ Lao ໑໖໔໐໘໒ Burmese ၁၆၄၀၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164082, here are decompositions:

  • 11 + 164071 = 164082
  • 31 + 164051 = 164082
  • 43 + 164039 = 164082
  • 59 + 164023 = 164082
  • 71 + 164011 = 164082
  • 89 + 163993 = 164082
  • 101 + 163981 = 164082
  • 103 + 163979 = 164082

Showing the first eight; more decompositions exist.

Unicode codepoint
𨃲
CJK Unified Ideograph-280F2
U+280F2
Other letter (Lo)

UTF-8 encoding: F0 A8 83 B2 (4 bytes).

Hex color
#0280F2
RGB(2, 128, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.242.

Address
0.2.128.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.242

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 164,082 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°.